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घूर्णन - विकिपीडिया

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id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="दिखावट"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="पृष्ठ के फ़ॉन्ट का आकार, चौड़ाई और रंग बदलें" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="दिखावट" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">दिखावट</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_hi.wikipedia.org&amp;uselang=hi" class=""><span>दान करें</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A4%BE%E0%A4%A4%E0%A4%BE_%E0%A4%AC%E0%A4%A8%E0%A4%BE%E0%A4%8F%E0%A4%81&amp;returnto=%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8" title="हमारा सुझाव है की आप खाता बनाएँ और लॉगिन करें, परन्तु यह अनिवार्य नहीं है" class=""><span>खाता बनाएँ</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A4%BF%E0%A4%A8&amp;returnto=%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8" title="आपको सत्रारम्भ करने के लिए प्रोत्साहित किया जाता है; लेकिन यह अनिवार्य नहीं है [o]" accesskey="o" class=""><span>लॉग-इन करें</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="अन्य विकल्प" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="व्यक्तिगत उपकरण" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">व्यक्तिगत उपकरण</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_hi.wikipedia.org&amp;uselang=hi"><span>दान करें</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A4%BE%E0%A4%A4%E0%A4%BE_%E0%A4%AC%E0%A4%A8%E0%A4%BE%E0%A4%8F%E0%A4%81&amp;returnto=%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8" title="हमारा सुझाव है की आप खाता बनाएँ और लॉगिन करें, परन्तु यह अनिवार्य नहीं है"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>खाता बनाएँ</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A4%BF%E0%A4%A8&amp;returnto=%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8" title="आपको सत्रारम्भ करने के लिए प्रोत्साहित किया जाता है; लेकिन यह अनिवार्य नहीं है [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>लॉग-इन करें</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> लॉग-आउट किए गए संपादकों के लिए पृष्ठ <a href="/wiki/%E0%A4%B8%E0%A4%B9%E0%A4%BE%E0%A4%AF%E0%A4%A4%E0%A4%BE:%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%9A%E0%A4%AF" aria-label="संपादन के बारे में अधिक जानें"><span>अधिक जानें</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AE%E0%A5%87%E0%A4%B0%E0%A5%87_%E0%A4%AF%E0%A5%8B%E0%A4%97%E0%A4%A6%E0%A4%BE%E0%A4%A8" title="इस आईपी पते से संपादन की सूची [y]" accesskey="y"><span>योगदान</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AE%E0%A5%87%E0%A4%B0%E0%A5%80_%E0%A4%B5%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A4%BE" title="इस आईपी एड्रेससे हुए बदलावों के बारे में वार्ता [n]" accesskey="n"><span>वार्ता</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="साइट"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="सामग्री" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">सामग्री</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">साइडबार पर जाएँ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">छुपाएँ</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">शुरुआत</div> </a> </li> <li id="toc-स्थानान्तरण_और_घूर्णन_की_तुलना" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#स्थानान्तरण_और_घूर्णन_की_तुलना"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>स्थानान्तरण और घूर्णन की तुलना</span> </div> </a> <ul id="toc-स्थानान्तरण_और_घूर्णन_की_तुलना-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-इन्हें_भी_देखें" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#इन्हें_भी_देखें"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>इन्हें भी देखें</span> </div> </a> <ul id="toc-इन्हें_भी_देखें-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="सामग्री" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="विषयसूची को टॉगल करें" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">विषयसूची को टॉगल करें</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">घूर्णन</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="दूसरे भाषा में लेख पर जाएँ। 76 भाषाओं में उपलब्ध" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-76" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">76 भाषाएँ</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AF%D9%88%D8%B1%D8%A7%D9%86" title="دوران – अरबी" lang="ar" hreflang="ar" data-title="دوران" data-language-autonym="العربية" data-language-local-name="अरबी" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Rotaci%C3%B3n" title="Rotación – अस्तुरियन" lang="ast" hreflang="ast" data-title="Rotación" data-language-autonym="Asturianu" data-language-local-name="अस्तुरियन" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%92%D1%8A%D1%80%D1%82%D0%B5%D0%BD%D0%B5" title="Въртене – बुल्गारियाई" lang="bg" hreflang="bg" data-title="Въртене" data-language-autonym="Български" data-language-local-name="बुल्गारियाई" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8" title="घूर्णन – Bhojpuri" lang="bh" hreflang="bh" data-title="घूर्णन" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%98%E0%A7%82%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A6%A8" title="ঘূর্ণন – बंगाली" lang="bn" hreflang="bn" data-title="ঘূর্ণন" data-language-autonym="বাংলা" data-language-local-name="बंगाली" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%A0%E0%BD%81%E0%BD%BC%E0%BD%A2%E0%BC%8B%E0%BD%A0%E0%BD%82%E0%BE%B2%E0%BD%BC%E0%BD%A6%E0%BC%8D" title="འཁོར་འགྲོས། – तिब्बती" lang="bo" hreflang="bo" data-title="འཁོར་འགྲོས།" data-language-autonym="བོད་ཡིག" data-language-local-name="तिब्बती" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Rotacija" title="Rotacija – बोस्नियाई" lang="bs" hreflang="bs" data-title="Rotacija" data-language-autonym="Bosanski" data-language-local-name="बोस्नियाई" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Rotaci%C3%B3" title="Rotació – कातालान" lang="ca" hreflang="ca" data-title="Rotació" data-language-autonym="Català" data-language-local-name="कातालान" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%AE%D9%88%D9%84%D8%A7%D9%86%DB%95%D9%88%DB%95" title="خولانەوە – सोरानी कुर्दिश" lang="ckb" hreflang="ckb" data-title="خولانەوە" data-language-autonym="کوردی" data-language-local-name="सोरानी कुर्दिश" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Ot%C3%A1%C4%8Den%C3%AD" title="Otáčení – चेक" lang="cs" hreflang="cs" data-title="Otáčení" data-language-autonym="Čeština" data-language-local-name="चेक" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%C3%87%D0%B0%D0%B2%D1%80%C4%83%D0%BD%D1%83" title="Çаврăну – चूवाश" lang="cv" hreflang="cv" data-title="Çаврăну" data-language-autonym="Чӑвашла" data-language-local-name="चूवाश" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Rotation" title="Rotation – डेनिश" lang="da" hreflang="da" data-title="Rotation" data-language-autonym="Dansk" data-language-local-name="डेनिश" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Rotation_(Physik)" title="Rotation (Physik) – जर्मन" lang="de" hreflang="de" data-title="Rotation (Physik)" data-language-autonym="Deutsch" data-language-local-name="जर्मन" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A0%CE%B5%CF%81%CE%B9%CF%83%CF%84%CF%81%CE%BF%CF%86%CE%AE" title="Περιστροφή – यूनानी" lang="el" hreflang="el" data-title="Περιστροφή" data-language-autonym="Ελληνικά" data-language-local-name="यूनानी" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Rotation" title="Rotation – अंग्रेज़ी" lang="en" hreflang="en" data-title="Rotation" data-language-autonym="English" data-language-local-name="अंग्रेज़ी" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Rotacio" title="Rotacio – एस्पेरेंतो" lang="eo" hreflang="eo" data-title="Rotacio" data-language-autonym="Esperanto" data-language-local-name="एस्पेरेंतो" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Movimiento_de_rotaci%C3%B3n" title="Movimiento de rotación – स्पेनिश" lang="es" hreflang="es" data-title="Movimiento de rotación" data-language-autonym="Español" data-language-local-name="स्पेनिश" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/P%C3%B6%C3%B6rlemine" title="Pöörlemine – एस्टोनियाई" lang="et" hreflang="et" data-title="Pöörlemine" data-language-autonym="Eesti" data-language-local-name="एस्टोनियाई" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Errotazio" title="Errotazio – बास्क" lang="eu" hreflang="eu" data-title="Errotazio" data-language-autonym="Euskara" data-language-local-name="बास्क" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AF%D9%88%D8%B1%D8%A7%D9%86_(%D9%87%D9%86%D8%AF%D8%B3%D9%87)" title="دوران (هندسه) – फ़ारसी" lang="fa" hreflang="fa" data-title="دوران (هندسه)" data-language-autonym="فارسی" data-language-local-name="फ़ारसी" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Py%C3%B6rimisliike" title="Pyörimisliike – फ़िनिश" lang="fi" hreflang="fi" data-title="Pyörimisliike" data-language-autonym="Suomi" data-language-local-name="फ़िनिश" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Rotation_(physique)" title="Rotation (physique) – फ़्रेंच" lang="fr" hreflang="fr" data-title="Rotation (physique)" data-language-autonym="Français" data-language-local-name="फ़्रेंच" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Rothl%C3%BA" title="Rothlú – आयरिश" lang="ga" hreflang="ga" data-title="Rothlú" data-language-autonym="Gaeilge" data-language-local-name="आयरिश" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Rotaci%C3%B3n" title="Rotación – गैलिशियन" lang="gl" hreflang="gl" data-title="Rotación" data-language-autonym="Galego" data-language-local-name="गैलिशियन" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A1%D7%99%D7%91%D7%95%D7%91" title="סיבוב – हिब्रू" lang="he" hreflang="he" data-title="סיבוב" data-language-autonym="עברית" data-language-local-name="हिब्रू" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Vrtnja" title="Vrtnja – क्रोएशियाई" lang="hr" hreflang="hr" data-title="Vrtnja" data-language-autonym="Hrvatski" data-language-local-name="क्रोएशियाई" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Forg%C3%B3mozg%C3%A1s" title="Forgómozgás – हंगेरियाई" lang="hu" hreflang="hu" data-title="Forgómozgás" data-language-autonym="Magyar" data-language-local-name="हंगेरियाई" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Perputaran" title="Perputaran – इंडोनेशियाई" lang="id" hreflang="id" data-title="Perputaran" data-language-autonym="Bahasa Indonesia" data-language-local-name="इंडोनेशियाई" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Rotaco" title="Rotaco – इडौ" lang="io" hreflang="io" data-title="Rotaco" data-language-autonym="Ido" data-language-local-name="इडौ" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Rotazione" title="Rotazione – इतालवी" lang="it" hreflang="it" data-title="Rotazione" data-language-autonym="Italiano" data-language-local-name="इतालवी" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%9B%9E%E8%BB%A2" title="回転 – जापानी" lang="ja" hreflang="ja" data-title="回転" data-language-autonym="日本語" data-language-local-name="जापानी" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Rotasi" title="Rotasi – जावानीज़" lang="jv" hreflang="jv" data-title="Rotasi" data-language-autonym="Jawa" data-language-local-name="जावानीज़" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%90%D0%B9%D0%BD%D0%B0%D0%BB%D1%83" title="Айналу – कज़ाख़" lang="kk" hreflang="kk" data-title="Айналу" data-language-autonym="Қазақша" data-language-local-name="कज़ाख़" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AA%E0%B2%B0%E0%B2%BF%E0%B2%AD%E0%B3%8D%E0%B2%B0%E0%B2%AE%E0%B2%A3" title="ಪರಿಭ್ರಮಣ – कन्नड़" lang="kn" hreflang="kn" data-title="ಪರಿಭ್ರಮಣ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="कन्नड़" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%9A%8C%EC%A0%84" title="회전 – कोरियाई" lang="ko" hreflang="ko" data-title="회전" data-language-autonym="한국어" data-language-local-name="कोरियाई" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Rotatio" title="Rotatio – लैटिन" lang="la" hreflang="la" data-title="Rotatio" data-language-autonym="Latina" data-language-local-name="लैटिन" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Rot%C4%81cija" title="Rotācija – लातवियाई" lang="lv" hreflang="lv" data-title="Rotācija" data-language-autonym="Latviešu" data-language-local-name="लातवियाई" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%92%D1%80%D1%82%D0%B5%D1%9A%D0%B5" title="Вртење – मकदूनियाई" lang="mk" hreflang="mk" data-title="Вртење" data-language-autonym="Македонски" data-language-local-name="मकदूनियाई" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AD%E0%B5%8D%E0%B4%B0%E0%B4%AE%E0%B4%A3%E0%B4%82" title="ഭ്രമണം – मलयालम" lang="ml" hreflang="ml" data-title="ഭ്രമണം" data-language-autonym="മലയാളം" data-language-local-name="मलयालम" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%AD%D1%80%D0%B3%D1%8D%D0%BB%D1%82" title="Эргэлт – मंगोलियाई" lang="mn" hreflang="mn" data-title="Эргэлт" data-language-autonym="Монгол" data-language-local-name="मंगोलियाई" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%85%E0%A4%95%E0%A5%8D%E0%A4%B7" title="अक्ष – मराठी" lang="mr" hreflang="mr" data-title="अक्ष" data-language-autonym="मराठी" data-language-local-name="मराठी" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Putaran" title="Putaran – मलय" lang="ms" hreflang="ms" data-title="Putaran" data-language-autonym="Bahasa Melayu" data-language-local-name="मलय" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%9C%E1%80%BE%E1%80%8A%E1%80%B7%E1%80%BA%E1%80%9C%E1%80%8A%E1%80%BA%E1%80%99%E1%80%BE%E1%80%AF" title="လှည့်လည်မှု – बर्मीज़" lang="my" hreflang="my" data-title="လှည့်လည်မှု" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="बर्मीज़" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Rotatschoon_(Physik)" title="Rotatschoon (Physik) – निचला जर्मन" lang="nds" hreflang="nds" data-title="Rotatschoon (Physik)" data-language-autonym="Plattdüütsch" data-language-local-name="निचला जर्मन" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Rotatie_(natuurkunde)" title="Rotatie (natuurkunde) – डच" lang="nl" hreflang="nl" data-title="Rotatie (natuurkunde)" data-language-autonym="Nederlands" data-language-local-name="डच" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Rotasjon" title="Rotasjon – नॉर्वेजियाई नॉयनॉर्स्क" lang="nn" hreflang="nn" data-title="Rotasjon" data-language-autonym="Norsk nynorsk" data-language-local-name="नॉर्वेजियाई नॉयनॉर्स्क" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Rotasjon" title="Rotasjon – नॉर्वेजियाई बोकमाल" lang="nb" hreflang="nb" data-title="Rotasjon" data-language-autonym="Norsk bokmål" data-language-local-name="नॉर्वेजियाई बोकमाल" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Sochiin_Maraamarto" title="Sochiin Maraamarto – ओरोमो" lang="om" hreflang="om" data-title="Sochiin Maraamarto" data-language-autonym="Oromoo" data-language-local-name="ओरोमो" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%97%E0%A9%87%E0%A9%9C%E0%A8%BE" title="ਗੇੜਾ – पंजाबी" lang="pa" hreflang="pa" data-title="ਗੇੜਾ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="पंजाबी" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Obr%C3%B3t" title="Obrót – पोलिश" lang="pl" hreflang="pl" data-title="Obrót" data-language-autonym="Polski" data-language-local-name="पोलिश" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Movimento_de_rota%C3%A7%C3%A3o" title="Movimento de rotação – पुर्तगाली" lang="pt" hreflang="pt" data-title="Movimento de rotação" data-language-autonym="Português" data-language-local-name="पुर्तगाली" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Rota%C8%9Bie" title="Rotație – रोमानियाई" lang="ro" hreflang="ro" data-title="Rotație" data-language-autonym="Română" data-language-local-name="रोमानियाई" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%92%D1%80%D0%B0%D1%89%D0%B5%D0%BD%D0%B8%D0%B5" title="Вращение – रूसी" lang="ru" hreflang="ru" data-title="Вращение" data-language-autonym="Русский" data-language-local-name="रूसी" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Rutazzioni" title="Rutazzioni – सिसिलियन" lang="scn" hreflang="scn" data-title="Rutazzioni" data-language-autonym="Sicilianu" data-language-local-name="सिसिलियन" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Rotacija" title="Rotacija – सेर्बो-क्रोएशियाई" lang="sh" hreflang="sh" data-title="Rotacija" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="सेर्बो-क्रोएशियाई" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%B7%E0%B7%8A%E2%80%8D%E0%B6%BB%E0%B6%B8%E0%B6%AB%E0%B6%BA" title="භ්‍රමණය – सिंहली" lang="si" hreflang="si" data-title="භ්‍රමණය" data-language-autonym="සිංහල" data-language-local-name="सिंहली" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Rotation" title="Rotation – Simple English" lang="en-simple" hreflang="en-simple" data-title="Rotation" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Vrtenje" title="Vrtenje – स्लोवेनियाई" lang="sl" hreflang="sl" data-title="Vrtenje" data-language-autonym="Slovenščina" data-language-local-name="स्लोवेनियाई" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Dendera" title="Dendera – शोणा" lang="sn" hreflang="sn" data-title="Dendera" data-language-autonym="ChiShona" data-language-local-name="शोणा" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Wareega_Meere" title="Wareega Meere – सोमाली" lang="so" hreflang="so" data-title="Wareega Meere" data-language-autonym="Soomaaliga" data-language-local-name="सोमाली" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Rotaciono_kretanje_%C4%8Dvrstog_tela" title="Rotaciono kretanje čvrstog tela – सर्बियाई" lang="sr" hreflang="sr" data-title="Rotaciono kretanje čvrstog tela" data-language-autonym="Српски / srpski" data-language-local-name="सर्बियाई" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Puteran" title="Puteran – सुंडानी" lang="su" hreflang="su" data-title="Puteran" data-language-autonym="Sunda" data-language-local-name="सुंडानी" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Rotation" title="Rotation – स्वीडिश" lang="sv" hreflang="sv" data-title="Rotation" data-language-autonym="Svenska" data-language-local-name="स्वीडिश" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Kujizungusha" title="Kujizungusha – स्वाहिली" lang="sw" hreflang="sw" data-title="Kujizungusha" data-language-autonym="Kiswahili" data-language-local-name="स्वाहिली" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%9A%E0%AF%81%E0%AE%B4%E0%AE%B1%E0%AF%8D%E0%AE%9A%E0%AE%BF" title="சுழற்சி – तमिल" lang="ta" hreflang="ta" data-title="சுழற்சி" data-language-autonym="தமிழ்" data-language-local-name="तमिल" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%AD%E0%B1%8D%E0%B0%B0%E0%B0%AE%E0%B0%A3%E0%B0%82" title="భ్రమణం – तेलुगू" lang="te" hreflang="te" data-title="భ్రమణం" data-language-autonym="తెలుగు" data-language-local-name="तेलुगू" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%AB%E0%B8%A1%E0%B8%B8%E0%B8%99" title="การหมุน – थाई" lang="th" hreflang="th" data-title="การหมุน" data-language-autonym="ไทย" data-language-local-name="थाई" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Pag-ikot" title="Pag-ikot – टैगलॉग" lang="tl" hreflang="tl" data-title="Pag-ikot" data-language-autonym="Tagalog" data-language-local-name="टैगलॉग" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/D%C3%B6nme" title="Dönme – तुर्की" lang="tr" hreflang="tr" data-title="Dönme" data-language-autonym="Türkçe" data-language-local-name="तुर्की" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9E%D0%B1%D0%B5%D1%80%D1%82%D0%B0%D0%BD%D0%BD%D1%8F" title="Обертання – यूक्रेनियाई" lang="uk" hreflang="uk" data-title="Обертання" data-language-autonym="Українська" data-language-local-name="यूक्रेनियाई" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Quay" title="Quay – वियतनामी" lang="vi" hreflang="vi" data-title="Quay" data-language-autonym="Tiếng Việt" data-language-local-name="वियतनामी" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E8%BD%AC%E5%8A%A8" title="转动 – वू चीनी" lang="wuu" hreflang="wuu" data-title="转动" data-language-autonym="吴语" data-language-local-name="वू चीनी" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/Ukujikeleza_ndawonye" title="Ukujikeleza ndawonye – ख़ोसा" lang="xh" hreflang="xh" data-title="Ukujikeleza ndawonye" data-language-autonym="IsiXhosa" data-language-local-name="ख़ोसा" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%BD%AC%E5%8A%A8" title="转动 – चीनी" lang="zh" hreflang="zh" data-title="转动" data-language-autonym="中文" data-language-local-name="चीनी" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E8%87%AA%E8%BD%89" title="自轉 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="自轉" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%BD%89%E5%8B%95" title="轉動 – कैंटोनीज़" lang="yue" hreflang="yue" data-title="轉動" data-language-autonym="粵語" data-language-local-name="कैंटोनीज़" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q107617#sitelinks-wikipedia" title="अंतरभाषा कड़ियाँ संपादित करें" class="wbc-editpage">कड़ियाँ संपादित करें</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="नामस्थान"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul 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data-event-name="pinnable-header.vector-page-tools.unpin">छुपाएँ</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> क्रियाएँ </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8"><span>पढ़ें</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8&amp;action=edit" title="इस पृष्ठ के स्रोत कोड को संपादित करें [e]" accesskey="e"><span>सम्पादित करें</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8&amp;action=history"><span>इतिहास 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title="शेयर करने के लिए ये छोटा यू॰आर॰एल कॉपी करें"><span>छोटा यू॰आर॰एल</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> मुद्रण/निर्यात </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AA%E0%A5%81%E0%A4%B8%E0%A5%8D%E0%A4%A4%E0%A4%95&amp;bookcmd=book_creator&amp;referer=%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8"><span>पुस्तक बनायें</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:DownloadAsPdf&amp;page=%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8&amp;action=show-download-screen"><span>पीडीएफ़ रूप डाउनलोड करें</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8&amp;printable=yes" title="इस पृष्ठका छपानेलायक अवतरण [p]" accesskey="p"><span>प्रिन्ट करने लायक</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> दूसरे परियोजनाओं में </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Rotation" hreflang="en"><span>विकिमीडिया कॉमन्स</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q107617" title="संबद्ध डेटा रिपॉज़िटरी आयटम की कड़ी [g]" accesskey="g"><span>विकिडेटा आयटम</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="पृष्ठ उपकरण"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="दिखावट"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">दिखावट</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">साइडबार पर जाएँ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">छुपाएँ</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">मुक्त ज्ञानकोश विकिपीडिया से</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="hi" dir="ltr"><figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%E0%A4%9A%E0%A4%BF%E0%A4%A4%E0%A5%8D%E0%A4%B0:Rotating_earth_(large).gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Rotating_earth_%28large%29.gif/220px-Rotating_earth_%28large%29.gif" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Rotating_earth_%28large%29.gif/330px-Rotating_earth_%28large%29.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/2/2c/Rotating_earth_%28large%29.gif 2x" data-file-width="400" data-file-height="400" /></a><figcaption>अपने <a href="/wiki/%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8_%E0%A4%85%E0%A4%95%E0%A5%8D%E0%A4%B7" title="घूर्णन अक्ष">अक्ष</a> पर <a href="/w/index.php?title=%E0%A4%AA%E0%A5%83%E0%A4%A5%E0%A5%8D%E0%A4%B5%E0%A5%80_%E0%A4%95%E0%A5%80_%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8&amp;action=edit&amp;redlink=1" class="new" title="पृथ्वी की घूर्णन (पृष्ठ मौजूद नहीं है)">पृथ्वी की घूर्णन</a></figcaption></figure> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%E0%A4%9A%E0%A4%BF%E0%A4%A4%E0%A5%8D%E0%A4%B0:3_rotating_rings.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/e/ee/3_rotating_rings.gif" decoding="async" width="180" height="135" class="mw-file-element" data-file-width="180" data-file-height="135" /></a><figcaption>तीन छल्लों का घूर्णन</figcaption></figure> <p><b>घूर्णन</b> या <b>घूर्ण गति</b> एक केन्द्रीय रेखा (<a href="/wiki/%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8_%E0%A4%85%E0%A4%95%E0%A5%8D%E0%A4%B7" title="घूर्णन अक्ष">घूर्णन अक्ष</a>) के परितः किसी वस्तु की <a href="/wiki/%E0%A4%B5%E0%A5%83%E0%A4%A4%E0%A5%8D%E0%A4%A4%E0%A5%80%E0%A4%AF_%E0%A4%97%E0%A4%A4%E0%A4%BF" title="वृत्तीय गति">वृत्तीय गति</a> है। एक <a href="/wiki/%E0%A4%B8%E0%A4%AE%E0%A4%A4%E0%A4%B2_(%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF)" title="समतल (ज्यामिति)">समतल</a> <a href="/wiki/%E0%A4%86%E0%A4%95%E0%A5%83%E0%A4%A4%E0%A4%BF" title="आकृति">आकृति</a> एक लम्बवत् अक्ष के परितः <a href="/wiki/%E0%A4%A6%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A4%BF%E0%A4%A3%E0%A4%BE%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%A4" title="दक्षिणावर्त">दक्षिणावर्त</a> या <a href="/wiki/%E0%A4%B5%E0%A4%BE%E0%A4%AE%E0%A4%BE%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%A4" title="वामावर्त">वामावर्त</a> दिशा में घूम सकती है, जो घूर्णन के केन्द्र पर आकृति के अन्दर या बाहर कहीं भी प्रतिच्छेद करती है। एक <a href="/wiki/%E0%A4%A0%E0%A5%8B%E0%A4%B8_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="ठोस ज्यामिति">ठोस</a> आकृति में एक स्थिराक्ष के परितः घूर्णन के विपरीत, अस्थिर घूर्णन (मनमानी <a href="/w/index.php?title=%E0%A4%85%E0%A4%AD%E0%A4%BF%E0%A4%B5%E0%A4%BF%E0%A4%A8%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%B8_(%E0%A4%AD%E0%A5%82%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF)&amp;action=edit&amp;redlink=1" class="new" title="अभिविन्यास (भूमिति) (पृष्ठ मौजूद नहीं है)">अभिविन्यासों</a> के मध्य) सहित संभावित अक्षों और <a href="/wiki/%E0%A4%95%E0%A5%8B%E0%A4%A3%E0%A5%80%E0%A4%AF_%E0%A4%B5%E0%A4%BF%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BE%E0%A4%AA%E0%A4%A8" title="कोणीय विस्थापन">घूर्णन के कोणों</a> की अनन्त संख्या होती है। </p><p>पिण्ड के <a href="/wiki/%E0%A4%B8%E0%A4%82%E0%A4%B9%E0%A4%A4%E0%A4%BF-%E0%A4%95%E0%A5%87%E0%A4%A8%E0%A5%8D%E0%A4%A6%E0%A5%8D%E0%A4%B0" title="संहति-केन्द्र">संहति-केन्द्र</a> से गुजरने वाली अन्तरक्ष के साथ घूर्णन के विशेष मामले को <a href="/w/index.php?title=%E0%A4%9A%E0%A4%95%E0%A5%8D%E0%A4%B0%E0%A4%A3&amp;action=edit&amp;redlink=1" class="new" title="चक्रण (पृष्ठ मौजूद नहीं है)">चक्रण</a> (या स्वघूर्णन) के रूप में जाना जाता है। उस स्थिति में, अन्तश्चक्रण अक्ष के सतह प्रतिच्छेदन को <i>ध्रुव</i> कहा जा सकता है; उदाहरणार्थ, <a href="/w/index.php?title=%E0%A4%AA%E0%A5%83%E0%A4%A5%E0%A5%8D%E0%A4%B5%E0%A5%80_%E0%A4%95%E0%A5%80_%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8&amp;action=edit&amp;redlink=1" class="new" title="पृथ्वी की घूर्णन (पृष्ठ मौजूद नहीं है)">पृथ्वी की घूर्णन</a> <a href="/wiki/%E0%A4%A7%E0%A5%8D%E0%A4%B0%E0%A5%81%E0%A4%B5_(%E0%A4%AD%E0%A5%82%E0%A4%97%E0%A5%8B%E0%A4%B2)" title="ध्रुव (भूगोल)">भौगोलिक ध्रुवों</a> को परिभाषित करता है। किसी पूर्ण बाह्य अक्ष के परितः घूर्णन को <a href="/w/index.php?title=%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A4%A3&amp;action=edit&amp;redlink=1" class="new" title="परिक्रमण (पृष्ठ मौजूद नहीं है)">परिक्रमण</a> और गतिपथ को <a href="/wiki/%E0%A4%95%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A4%BE_(%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80)" title="कक्षा (भौतिकी)">कक्षा</a> कहा जाता है, उदाहरणार्थ सूर्य के परितः पृथ्वी की परिक्रमण। परिक्रमण के बाह्याक्ष के सिरों को <a href="/w/index.php?title=%E0%A4%95%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%80%E0%A4%AF_%E0%A4%A7%E0%A5%8D%E0%A4%B0%E0%A5%81%E0%A4%B5&amp;action=edit&amp;redlink=1" class="new" title="कक्षीय ध्रुव (पृष्ठ मौजूद नहीं है)">कक्षीय ध्रुव</a> कहा जा सकता है।<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> </p><p>किसी भी प्रकार का घूर्णन सम्बन्धित प्रकार के <a href="/wiki/%E0%A4%95%E0%A5%8B%E0%A4%A3%E0%A5%80%E0%A4%AF_%E0%A4%B5%E0%A5%87%E0%A4%97" title="कोणीय वेग">कोणीय वेग</a> (चक्रण कोणीय वेग और कक्षीय कोणीय वेग) और <a href="/wiki/%E0%A4%95%E0%A5%8B%E0%A4%A3%E0%A5%80%E0%A4%AF_%E0%A4%B8%E0%A4%82%E0%A4%B5%E0%A5%87%E0%A4%97" title="कोणीय संवेग">कोणीय संवेग</a> (चक्रण कोणीय गति और कक्षीय कोणीय गति) में शामिल होता है। </p> <div class="mw-heading mw-heading2"><h2 id="स्थानान्तरण_और_घूर्णन_की_तुलना"><span id=".E0.A4.B8.E0.A5.8D.E0.A4.A5.E0.A4.BE.E0.A4.A8.E0.A4.BE.E0.A4.A8.E0.A5.8D.E0.A4.A4.E0.A4.B0.E0.A4.A3_.E0.A4.94.E0.A4.B0_.E0.A4.98.E0.A5.82.E0.A4.B0.E0.A5.8D.E0.A4.A3.E0.A4.A8_.E0.A4.95.E0.A5.80_.E0.A4.A4.E0.A5.81.E0.A4.B2.E0.A4.A8.E0.A4.BE"></span>स्थानान्तरण और घूर्णन की तुलना</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8&amp;action=edit&amp;section=1" title="अनुभाग सम्पादित करें: स्थानान्तरण और घूर्णन की तुलना"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>निम्नलिखित सारणी में स्थानान्तरण (ट्रान्सलेशन) तथा घूर्णन गतियों से सम्बन्धित राशियों एवं समीकरणों की तुलना की गयी है। दोनों के समीकरणों में समानता देखी जा सकती है॥ </p> <table class="wikitable"> <tbody><tr> <th class="hintergrundfarbe6" width="50%">स्थानान्तरण गति </th> <th class="hintergrundfarbe6" width="50%">घूर्नन गति </th></tr> <tr> <td><a href="/wiki/%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BF%E0%A4%A4%E0%A4%BF_%E0%A4%B8%E0%A4%A6%E0%A4%BF%E0%A4%B6" title="स्थिति सदिश">स्थिति सदिश</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {r}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {r}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6aec3c9ce13b53e9e24c98e7cce4212627884c91" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.223ex; height:2.343ex;" alt="{\displaystyle {\vec {r}}}"></span> </td> <td>कोणीय विस्थापन <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \varphi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C6;<!-- φ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \varphi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33ee699558d09cf9d653f6351f9fda0b2f4aaa3e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.52ex; height:2.176ex;" alt="{\displaystyle \varphi }"></span> या <a href="/wiki/%E0%A4%AE%E0%A5%88%E0%A4%9F%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%8D%E0%A4%B8" class="mw-disambig" title="मैट्रिक्स">मैट्रिक्स</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\displaystyle A}"></span> </td></tr> <tr> <td><a href="/wiki/%E0%A4%B5%E0%A5%87%E0%A4%97" title="वेग">वेग</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {v}}={\dot {\vec {r}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> <mo>&#x02D9;<!-- ˙ --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {v}}={\dot {\vec {r}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/550e644cf843111ec5a4d53cc3a9bc5c8422faa6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.531ex; height:2.843ex;" alt="{\displaystyle {\vec {v}}={\dot {\vec {r}}}}"></span> </td> <td><a href="/wiki/%E0%A4%95%E0%A5%8B%E0%A4%A3%E0%A5%80%E0%A4%AF_%E0%A4%B5%E0%A5%87%E0%A4%97" title="कोणीय वेग">कोणीय वेग</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {\omega }}={\dot {\psi }}{\vec {\mathbf {u} }}_{1}+{\dot {\theta }}{\vec {\mathbf {u} }}_{2}+{\dot {\phi }}{\vec {\mathbf {u} }}_{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C9;<!-- ω --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C8;<!-- ψ --></mi> <mo>&#x02D9;<!-- ˙ --></mo> </mover> </mrow> </mrow> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">u</mi> </mrow> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03B8;<!-- θ --></mi> <mo>&#x02D9;<!-- ˙ --></mo> </mover> </mrow> </mrow> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">u</mi> </mrow> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03D5;<!-- ϕ --></mi> <mo>&#x02D9;<!-- ˙ --></mo> </mover> </mrow> </mrow> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">u</mi> </mrow> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {\omega }}={\dot {\psi }}{\vec {\mathbf {u} }}_{1}+{\dot {\theta }}{\vec {\mathbf {u} }}_{2}+{\dot {\phi }}{\vec {\mathbf {u} }}_{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/929403c970b204ca7fc45ef5a238a74ac773bd5c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:22.263ex; height:3.176ex;" alt="{\displaystyle {\vec {\omega }}={\dot {\psi }}{\vec {\mathbf {u} }}_{1}+{\dot {\theta }}{\vec {\mathbf {u} }}_{2}+{\dot {\phi }}{\vec {\mathbf {u} }}_{3}}"></span> </td></tr> <tr> <td><a href="/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B5%E0%A4%B0%E0%A4%A3" title="त्वरण">त्वरण</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {a}}={\dot {\vec {v}}}={\ddot {\vec {r}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>a</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> <mo>&#x02D9;<!-- ˙ --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> <mo>&#x00A8;<!-- ¨ --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {a}}={\dot {\vec {v}}}={\ddot {\vec {r}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9238c4efd1913b0fb7eff61ee7f48d7538c6a52e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.894ex; height:2.843ex;" alt="{\displaystyle {\vec {a}}={\dot {\vec {v}}}={\ddot {\vec {r}}}}"></span> </td> <td><a href="/wiki/%E0%A4%95%E0%A5%8B%E0%A4%A3%E0%A5%80%E0%A4%AF_%E0%A4%A4%E0%A5%8D%E0%A4%B5%E0%A4%B0%E0%A4%A3" title="कोणीय त्वरण">कोणीय त्वरण</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {\alpha }}={\dot {\vec {\omega }}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03B1;<!-- α --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C9;<!-- ω --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> <mo>&#x02D9;<!-- ˙ --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {\alpha }}={\dot {\vec {\omega }}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/90f19e57cc260314f86beb63bc6941aa4b68eef4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.032ex; height:2.843ex;" alt="{\displaystyle {\vec {\alpha }}={\dot {\vec {\omega }}}}"></span> </td></tr> <tr> <td><a href="/wiki/%E0%A4%A6%E0%A5%8D%E0%A4%B0%E0%A4%B5%E0%A5%8D%E0%A4%AF%E0%A4%AE%E0%A4%BE%E0%A4%A8" title="द्रव्यमान">द्रव्यमान</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext>&#xA0;</mtext> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d996842f038c3a2e9fb08a5dece4e379a4ff11d5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.621ex; height:1.676ex;" alt="{\displaystyle \ m}"></span> (<a href="/wiki/%E0%A4%85%E0%A4%A6%E0%A4%BF%E0%A4%B6_%E0%A4%B0%E0%A4%BE%E0%A4%B6%E0%A4%BF" title="अदिश राशि">अदिश</a>) </td> <td><a href="/wiki/%E0%A4%9C%E0%A4%A1%E0%A4%BC%E0%A4%A4%E0%A5%8D%E0%A4%B5%E0%A4%BE%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3" title="जड़त्वाघूर्ण">जड़त्वाघूर्ण</a> <a href="/wiki/%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%A6%E0%A4%BF%E0%A4%B6_%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%8D%E0%A4%B2%E0%A5%87%E0%A4%B7%E0%A4%A3" title="प्रदिश विश्लेषण">टेंसर</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbf {\Theta } }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">&#x0398;<!-- Θ --></mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {\Theta } }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1a15b5576ec407e52c5fdfc21c5d7bf45402406a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.078ex; height:2.176ex;" alt="{\displaystyle \mathbf {\Theta } }"></span> (विशेष स्थिति में अदिश <a href="/wiki/%E0%A4%9C%E0%A4%A1%E0%A4%BC%E0%A4%A4%E0%A5%8D%E0%A4%B5%E0%A4%BE%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3" title="जड़त्वाघूर्ण">जड़त्वाघूर्ण</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/535ea7fc4134a31cbe2251d9d3511374bc41be9f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.172ex; height:2.176ex;" alt="{\displaystyle I}"></span>) </td></tr> <tr> <td><a href="/wiki/%E0%A4%AC%E0%A4%B2" title="बल">बल</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ef40edff397a115ecdce7d3518001dfcc7f37d9e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.771ex; height:2.843ex;" alt="{\displaystyle {\vec {F}}}"></span> </td> <td><a href="/wiki/%E0%A4%AC%E0%A4%B2%E0%A4%BE%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3" title="बलाघूर्ण">बलाघूर्ण</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {M}}={\vec {r}}\times {\vec {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>M</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x00D7;<!-- × --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {M}}={\vec {r}}\times {\vec {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65233f004eda3cef9d71f622ee53c229fc8f4363" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:11.375ex; height:2.843ex;" alt="{\displaystyle {\vec {M}}={\vec {r}}\times {\vec {F}}}"></span> </td></tr> <tr> <td><a href="/wiki/%E0%A4%B8%E0%A4%82%E0%A4%B5%E0%A5%87%E0%A4%97" class="mw-disambig" title="संवेग">संवेग</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {p}}=m\,{\vec {v}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>m</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {p}}=m\,{\vec {v}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a6fe6edcfba1d8589fd1b5962d3273052c1b10f7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:8.116ex; height:2.676ex;" alt="{\displaystyle {\vec {p}}=m\,{\vec {v}}}"></span> </td> <td><a href="/wiki/%E0%A4%95%E0%A5%8B%E0%A4%A3%E0%A5%80%E0%A4%AF_%E0%A4%B8%E0%A4%82%E0%A4%B5%E0%A5%87%E0%A4%97" title="कोणीय संवेग">कोणीय संवेग</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {L}}=\mathbf {\Theta } {\vec {\omega }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>L</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">&#x0398;<!-- Θ --></mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C9;<!-- ω --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {L}}=\mathbf {\Theta } {\vec {\omega }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2350c8e95ee83535a9b78cd385caaf0663f9fb98" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.205ex; height:2.843ex;" alt="{\displaystyle {\vec {L}}=\mathbf {\Theta } {\vec {\omega }}}"></span> </td></tr> <tr> <td>संवेग परिवर्तन (<a href="/wiki/%E0%A4%86%E0%A4%B5%E0%A5%87%E0%A4%97" class="mw-disambig" title="आवेग">आवेग</a>): <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta {\vec {p}}=\int {\vec {F}}\mathrm {d} t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta {\vec {p}}=\int {\vec {F}}\mathrm {d} t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/23479146fb1c7d509828f6ea9ab0d1091226a2b6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:12.843ex; height:5.676ex;" alt="{\displaystyle \Delta {\vec {p}}=\int {\vec {F}}\mathrm {d} t}"></span> </td> <td>कोणीय संवेग परिवर्तन&#160;: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta {\vec {L}}=\int {\vec {M}}\mathrm {dt} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>L</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>M</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> <mi mathvariant="normal">t</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta {\vec {L}}=\int {\vec {M}}\mathrm {dt} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb6980e99c61ee80b061002d7351a876d396dd05" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:13.837ex; height:5.676ex;" alt="{\displaystyle \Delta {\vec {L}}=\int {\vec {M}}\mathrm {dt} }"></span> </td></tr> <tr> <td><a href="/wiki/%E0%A4%97%E0%A4%A4%E0%A4%BF%E0%A4%9C_%E0%A4%8A%E0%A4%B0%E0%A5%8D%E0%A4%9C%E0%A4%BE" title="गतिज ऊर्जा">गतिज ऊर्जा</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E_{\mathrm {kin} }={\frac {1}{2}}m\,{\vec {v}}^{2}\equiv {\frac {1}{2}}{\vec {v}}\cdot {\vec {p}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">k</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> </mrow> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>m</mi> <mspace width="thinmathspace" /> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2261;<!-- ≡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\mathrm {kin} }={\frac {1}{2}}m\,{\vec {v}}^{2}\equiv {\frac {1}{2}}{\vec {v}}\cdot {\vec {p}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9bc46e1f9d34a8ac66b4563fc73a57850fe7ec0f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:23.218ex; height:5.176ex;" alt="{\displaystyle E_{\mathrm {kin} }={\frac {1}{2}}m\,{\vec {v}}^{2}\equiv {\frac {1}{2}}{\vec {v}}\cdot {\vec {p}}}"></span> </td> <td>घूर्णन की गतिज ऊर्जा: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E_{\mathrm {rot} }={\frac {1}{2}}{\vec {\omega }}\cdot \mathbf {\Theta } {\vec {\omega }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">t</mi> </mrow> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C9;<!-- ω --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">&#x0398;<!-- Θ --></mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C9;<!-- ω --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\mathrm {rot} }={\frac {1}{2}}{\vec {\omega }}\cdot \mathbf {\Theta } {\vec {\omega }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f1e910215702cbb1b5e316829acbdafa840b9d53" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:15.799ex; height:5.176ex;" alt="{\displaystyle E_{\mathrm {rot} }={\frac {1}{2}}{\vec {\omega }}\cdot \mathbf {\Theta } {\vec {\omega }}}"></span> </td></tr> <tr> <td><a href="/wiki/%E0%A4%95%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%AF_(%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80)" title="कार्य (भौतिकी)">कार्य</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle W=\int {\vec {F}}\cdot \mathrm {d} {\vec {s}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>W</mi> <mo>=</mo> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>s</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle W=\int {\vec {F}}\cdot \mathrm {d} {\vec {s}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/55c715623f0084940fddd7314f960b93bd343a38" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:14.08ex; height:5.676ex;" alt="{\displaystyle W=\int {\vec {F}}\cdot \mathrm {d} {\vec {s}}}"></span> </td> <td>घूर्णन गति में कार्य: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle W=\int {\vec {M}}\cdot {\vec {\omega }}\ \mathrm {d} t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>W</mi> <mo>=</mo> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>M</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C9;<!-- ω --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mtext>&#xA0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle W=\int {\vec {M}}\cdot {\vec {\omega }}\ \mathrm {d} t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f32888e0ba338c95a72d91c842cfc6b3a14777aa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:16.394ex; height:5.676ex;" alt="{\displaystyle W=\int {\vec {M}}\cdot {\vec {\omega }}\ \mathrm {d} t}"></span> </td></tr> <tr> <td><a href="/wiki/%E0%A4%B6%E0%A4%95%E0%A5%8D%E0%A4%A4%E0%A4%BF" class="mw-redirect" title="शक्ति">शक्ति</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P={\dot {W}}={\vec {F}}\cdot {\frac {\mathrm {d} {\vec {s}}}{\mathrm {d} t}}={\vec {F}}\cdot {\vec {v}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>W</mi> <mo>&#x02D9;<!-- ˙ --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>s</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>v</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P={\dot {W}}={\vec {F}}\cdot {\frac {\mathrm {d} {\vec {s}}}{\mathrm {d} t}}={\vec {F}}\cdot {\vec {v}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7895a6eac11a3e2d419285eeffcb966e74949304" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:24.903ex; height:5.509ex;" alt="{\displaystyle P={\dot {W}}={\vec {F}}\cdot {\frac {\mathrm {d} {\vec {s}}}{\mathrm {d} t}}={\vec {F}}\cdot {\vec {v}}}"></span> </td> <td>घूर्णन गति में शक्ति: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P={\dot {W}}={\vec {M}}\cdot {\vec {\omega }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>W</mi> <mo>&#x02D9;<!-- ˙ --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>M</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x22C5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C9;<!-- ω --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P={\dot {W}}={\vec {M}}\cdot {\vec {\omega }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/369e15591d77b0563b8e67404d24cbe4c8c4ed47" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:15.945ex; height:2.843ex;" alt="{\displaystyle P={\dot {W}}={\vec {M}}\cdot {\vec {\omega }}}"></span> </td></tr> <tr> <td class="hintergrundfarbe8" align="center" colspan="2"><a href="/wiki/%E0%A4%97%E0%A4%A4%E0%A4%BF_%E0%A4%95%E0%A5%87_%E0%A4%B8%E0%A4%AE%E0%A5%80%E0%A4%95%E0%A4%B0%E0%A4%A3" title="गति के समीकरण">गति के समीकरण</a> </td></tr> <tr> <td>संवेग परिवर्तन की दर लगाये गये बल के बराबर होती है।: <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\dot {\vec {p}}}={\vec {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> <mo>&#x02D9;<!-- ˙ --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\dot {\vec {p}}}={\vec {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c732346c9d5b5835c389401920ef9b2a573b4011" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:6.318ex; height:3.176ex;" alt="{\displaystyle {\dot {\vec {p}}}={\vec {F}}}"></span> </p> </td> <td>कोणीय संवेग परिवर्तन की दर लगाये गये <a href="/wiki/%E0%A4%AC%E0%A4%B2%E0%A4%BE%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3" title="बलाघूर्ण">बलाघूर्ण</a> के बराबर होती है।: <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\dot {\vec {L}}}={\vec {M}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>L</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> <mo>&#x02D9;<!-- ˙ --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>M</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\dot {\vec {L}}}={\vec {M}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/05be1871175fece8b4e90b28ad3ff6fab6781a05" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.124ex; height:3.509ex;" alt="{\displaystyle {\dot {\vec {L}}}={\vec {M}}}"></span> </p> </td></tr> <tr> <td>यदि द्रव्यमान नियत हो तो <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m}"></span> (<i><a href="/wiki/%E0%A4%A8%E0%A5%8D%E0%A4%AF%E0%A5%82%E0%A4%9F%E0%A4%A8_%E0%A4%95%E0%A5%87_%E0%A4%97%E0%A4%A4%E0%A4%BF_%E0%A4%A8%E0%A4%BF%E0%A4%AF%E0%A4%AE" title="न्यूटन के गति नियम">न्यूटन की गति का दूसरा नियम</a></i>): <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m\,{\vec {a}}={\vec {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>a</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m\,{\vec {a}}={\vec {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99008eab2e4655038211bf69c367a3d726e65a6c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.527ex; height:2.843ex;" alt="{\displaystyle m\,{\vec {a}}={\vec {F}}}"></span> </p> </td> <td>यदि <a href="/wiki/%E0%A4%9C%E0%A4%A1%E0%A4%BC%E0%A4%A4%E0%A5%8D%E0%A4%B5%E0%A4%BE%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3" title="जड़त्वाघूर्ण">जड़त्वाघूर्ण</a> नियत हो तो <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/535ea7fc4134a31cbe2251d9d3511374bc41be9f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.172ex; height:2.176ex;" alt="{\displaystyle I}"></span>: <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I{\vec {\alpha }}={\vec {M}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03B1;<!-- α --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>M</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I{\vec {\alpha }}={\vec {M}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/571828a86c714bc3922cb20b5726604955a8736d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.2ex; height:2.843ex;" alt="{\displaystyle I{\vec {\alpha }}={\vec {M}}}"></span> </p> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="इन्हें_भी_देखें"><span id=".E0.A4.87.E0.A4.A8.E0.A5.8D.E0.A4.B9.E0.A5.87.E0.A4.82_.E0.A4.AD.E0.A5.80_.E0.A4.A6.E0.A5.87.E0.A4.96.E0.A5.87.E0.A4.82"></span>इन्हें भी देखें</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8&amp;action=edit&amp;section=2" title="अनुभाग सम्पादित करें: इन्हें भी देखें"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8_%E0%A4%85%E0%A4%95%E0%A5%8D%E0%A4%B7" title="घूर्णन अक्ष">घूर्णन अक्ष</a></li> <li><a href="/wiki/%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8_%E0%A4%95%E0%A4%BE%E0%A4%B2" title="घूर्णन काल">घूर्णन काल</a></li></ul> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><cite class="citation book">Wormeli, Rick (2009). <a rel="nofollow" class="external text" href="https://books.google.com.br/books?id=BvSOdG0UwysC&amp;pg=PA28"><i>Metaphors &amp; Analogies: Power Tools for Teaching Any Subject</i></a> (अंग्रेज़ी में). Stenhouse Publishers. <a href="/wiki/%E0%A4%86%E0%A4%88%E0%A5%B0%E0%A4%8D%E0%A4%B8%E0%A5%B0%E0%A4%AC%E0%A5%80%E0%A5%B0%E0%A4%8D%E0%A4%A8%E0%A5%B0" class="mw-redirect" title="आई॰ऍस॰बी॰ऍन॰">आई॰ऍस॰बी॰ऍन॰</a>&#160;<a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AA%E0%A5%81%E0%A4%B8%E0%A5%8D%E0%A4%A4%E0%A4%95_%E0%A4%B8%E0%A5%8D%E0%A4%B0%E0%A5%8B%E0%A4%A4/978-1-57110-758-9" title="विशेष:पुस्तक स्रोत/978-1-57110-758-9"><bdi>978-1-57110-758-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Metaphors+%26+Analogies%3A+Power+Tools+for+Teaching+Any+Subject&amp;rft.pub=Stenhouse+Publishers&amp;rft.date=2009&amp;rft.isbn=978-1-57110-758-9&amp;rft.aulast=Wormeli&amp;rft.aufirst=Rick&amp;rft_id=https%3A%2F%2Fbooks.google.com.br%2Fbooks%3Fid%3DBvSOdG0UwysC%26pg%3DPA28&amp;rfr_id=info%3Asid%2Fhi.wikipedia.org%3A%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%A8" class="Z3988"></span><style data-mw-deduplicate="TemplateStyles:r5547232">.mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background-image:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png");background-image:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg");background-repeat:no-repeat;background-size:9px;background-position:right .1em center}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background-image:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png");background-image:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg");background-repeat:no-repeat;background-size:9px;background-position:right .1em center}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background-image:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png");background-image:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg");background-repeat:no-repeat;background-size:9px;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background-image:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png");background-image:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg");background-repeat:no-repeat;background-size:12px;background-position:right .1em center}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}</style></span> </li> </ol> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐6f4956b788‐k9gnl Cached time: 20241128192134 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1] CPU time usage: 0.109 seconds Real time usage: 0.374 seconds Preprocessor visited node count: 228/1000000 Post‐expand include size: 2066/2097152 bytes Template argument size: 0/2097152 bytes Highest expansion depth: 3/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 3944/5000000 bytes Lua time usage: 0.040/10.000 seconds Lua memory usage: 1592236/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 66.326 1 साँचा:Cite_book 100.00% 66.326 1 -total --> <!-- Saved in parser cache with key hiwiki:pcache:382713:|#|:idhash:canonical and timestamp 20241128192134 and revision id 5958100. 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