Interazione apparente

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class="vector-toc-link" href="#Voci_correlate"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Voci correlate</span> </div> </a> <ul id="toc-Voci_correlate-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Collegamenti_esterni" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Collegamenti_esterni"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Collegamenti esterni</span> </div> </a> <ul id="toc-Collegamenti_esterni-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="Indice" 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" 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aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Vai a una voce in un'altra lingua. Disponibile in 40 lingue" > <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-40" 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">40 lingue</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/%D9%82%D9%88%D8%A9_%D9%88%D9%87%D9%85%D9%8A%D8%A9" title="قوة وهمية - arabo" lang="ar" hreflang="ar" data-title="قوة وهمية" data-language-autonym="العربية" data-language-local-name="arabo" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A1%D1%96%D0%BB%D0%B0_%D1%96%D0%BD%D0%B5%D1%80%D1%86%D1%8B%D1%96" title="Сіла інерцыі - bielorusso" lang="be" hreflang="be" data-title="Сіла інерцыі" data-language-autonym="Беларуская" data-language-local-name="bielorusso" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/For%C3%A7a_inercial" title="Força inercial - catalano" lang="ca" hreflang="ca" data-title="Força inercial" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Setrva%C4%8Dn%C3%A1_s%C3%ADla" title="Setrvačná síla - ceco" lang="cs" hreflang="cs" data-title="Setrvačná síla" data-language-autonym="Čeština" data-language-local-name="ceco" 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/%D0%98%D0%BD%D0%B5%D1%80%D1%86%D0%B8_%D0%B2%C4%83%D0%B9%C4%95" title="Инерци вăйĕ - ciuvascio" lang="cv" hreflang="cv" data-title="Инерци вăйĕ" data-language-autonym="Чӑвашла" data-language-local-name="ciuvascio" 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/Fiktiv_kraft" title="Fiktiv kraft - danese" lang="da" hreflang="da" data-title="Fiktiv kraft" data-language-autonym="Dansk" data-language-local-name="danese" 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/Tr%C3%A4gheitskraft" title="Trägheitskraft - tedesco" lang="de" hreflang="de" data-title="Trägheitskraft" data-language-autonym="Deutsch" data-language-local-name="tedesco" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Fictitious_force" title="Fictitious force - inglese" lang="en" hreflang="en" data-title="Fictitious force" data-language-autonym="English" data-language-local-name="inglese" 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/Inercia_forto" title="Inercia forto - esperanto" lang="eo" hreflang="eo" data-title="Inercia forto" data-language-autonym="Esperanto" data-language-local-name="esperanto" 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/Fuerza_ficticia" title="Fuerza ficticia - spagnolo" lang="es" hreflang="es" data-title="Fuerza ficticia" data-language-autonym="Español" data-language-local-name="spagnolo" 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/Inertsij%C3%B5ud" title="Inertsijõud - estone" lang="et" hreflang="et" data-title="Inertsijõud" data-language-autonym="Eesti" data-language-local-name="estone" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B4%D8%A8%D9%87%E2%80%8C%D9%86%DB%8C%D8%B1%D9%88" title="شبه‌نیرو - persiano" lang="fa" hreflang="fa" data-title="شبه‌نیرو" data-language-autonym="فارسی" data-language-local-name="persiano" 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/N%C3%A4enn%C3%A4isvoima" title="Näennäisvoima - finlandese" lang="fi" hreflang="fi" data-title="Näennäisvoima" data-language-autonym="Suomi" data-language-local-name="finlandese" 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/Force_d%27inertie" title="Force d'inertie - francese" lang="fr" hreflang="fr" data-title="Force d'inertie" data-language-autonym="Français" data-language-local-name="francese" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9B%D7%95%D7%97_%D7%9E%D7%93%D7%95%D7%9E%D7%94" title="כוח מדומה - ebraico" lang="he" hreflang="he" data-title="כוח מדומה" data-language-autonym="עברית" data-language-local-name="ebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%9B%E0%A4%A6%E0%A5%8D%E0%A4%AE_%E0%A4%AC%E0%A4%B2" title="छद्म बल - hindi" lang="hi" hreflang="hi" data-title="छद्म बल" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Tehetetlens%C3%A9gi_er%C5%91" title="Tehetetlenségi erő - ungherese" lang="hu" hreflang="hu" data-title="Tehetetlenségi erő" data-language-autonym="Magyar" data-language-local-name="ungherese" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BB%D5%B6%D5%A5%D6%80%D6%81%D5%AB%D5%A1%D5%B5%D5%AB_%D5%B8%D6%82%D5%AA" title="Իներցիայի ուժ - armeno" lang="hy" hreflang="hy" data-title="Իներցիայի ուժ" data-language-autonym="Հայերեն" data-language-local-name="armeno" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Gaya_fiktif" title="Gaya fiktif - indonesiano" lang="id" hreflang="id" data-title="Gaya fiktif" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiano" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%85%A3%E6%80%A7%E5%8A%9B" title="慣性力 - giapponese" lang="ja" hreflang="ja" data-title="慣性力" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9A%D2%AF%D1%88%D1%82%D0%B5%D1%80%D0%B4%D1%96_%D2%9B%D0%BE%D1%81%D1%83" title="Күштерді қосу - kazako" lang="kk" hreflang="kk" data-title="Күштерді қосу" data-language-autonym="Қазақша" data-language-local-name="kazako" 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%AE%E0%B2%BF%E0%B2%A5%E0%B3%8D%E0%B2%AF%E0%B2%BE%E0%B2%AC%E0%B2%B2" title="ಮಿಥ್ಯಾಬಲ - kannada" lang="kn" hreflang="kn" data-title="ಮಿಥ್ಯಾಬಲ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" 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/%EA%B2%89%EB%B3%B4%EA%B8%B0%ED%9E%98" title="겉보기힘 - coreano" lang="ko" hreflang="ko" data-title="겉보기힘" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%9C%E0%BA%BB%E0%BA%99%E0%BA%9A%E0%BA%B1%E0%BA%87%E0%BA%84%E0%BA%B1%E0%BA%9A%E0%BB%83%E0%BA%8A%E0%BB%89%E0%BA%9B%E0%BA%AD%E0%BA%A1" title="ຜົນບັງຄັບໃຊ້ປອມ - lao" lang="lo" hreflang="lo" data-title="ຜົນບັງຄັບໃຊ້ປອມ" data-language-autonym="ລາວ" data-language-local-name="lao" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Schijnkracht" title="Schijnkracht - olandese" lang="nl" hreflang="nl" data-title="Schijnkracht" data-language-autonym="Nederlands" data-language-local-name="olandese" 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/Fiktiv_kraft" title="Fiktiv kraft - norvegese nynorsk" lang="nn" hreflang="nn" data-title="Fiktiv kraft" data-language-autonym="Norsk nynorsk" data-language-local-name="norvegese nynorsk" 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/Fiktiv_kraft" title="Fiktiv kraft - norvegese bokmål" lang="nb" hreflang="nb" data-title="Fiktiv kraft" data-language-autonym="Norsk bokmål" data-language-local-name="norvegese bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Si%C5%82a_bezw%C5%82adno%C5%9Bci" title="Siła bezwładności - polacco" lang="pl" hreflang="pl" data-title="Siła bezwładności" data-language-autonym="Polski" data-language-local-name="polacco" 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/For%C3%A7a_fict%C3%ADcia" title="Força fictícia - portoghese" lang="pt" hreflang="pt" data-title="Força fictícia" data-language-autonym="Português" data-language-local-name="portoghese" 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/For%C8%9Ba_aparent%C4%83" title="Forța aparentă - rumeno" lang="ro" hreflang="ro" data-title="Forța aparentă" data-language-autonym="Română" data-language-local-name="rumeno" 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%A1%D0%B8%D0%BB%D0%B0_%D0%B8%D0%BD%D0%B5%D1%80%D1%86%D0%B8%D0%B8" title="Сила инерции - russo" lang="ru" hreflang="ru" data-title="Сила инерции" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Zotrva%C4%8Dn%C3%A1_sila" title="Zotrvačná sila - slovacco" lang="sk" hreflang="sk" data-title="Zotrvačná sila" data-language-autonym="Slovenčina" data-language-local-name="slovacco" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Vztrajnostna_sila" title="Vztrajnostna sila - sloveno" lang="sl" hreflang="sl" data-title="Vztrajnostna sila" data-language-autonym="Slovenščina" data-language-local-name="sloveno" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Fiktiv_kraft" title="Fiktiv kraft - svedese" lang="sv" hreflang="sv" data-title="Fiktiv kraft" data-language-autonym="Svenska" data-language-local-name="svedese" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%81%E0%B8%A3%E0%B8%87%E0%B9%80%E0%B8%97%E0%B8%B5%E0%B8%A2%E0%B8%A1" title="แรงเทียม - thailandese" lang="th" hreflang="th" data-title="แรงเทียม" data-language-autonym="ไทย" data-language-local-name="thailandese" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Yalanc%C4%B1_kuvvet" title="Yalancı kuvvet - turco" lang="tr" hreflang="tr" data-title="Yalancı kuvvet" data-language-autonym="Türkçe" data-language-local-name="turco" 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%A1%D0%B8%D0%BB%D0%B0_%D1%96%D0%BD%D0%B5%D1%80%D1%86%D1%96%D1%97" title="Сила інерції - ucraino" lang="uk" hreflang="uk" data-title="Сила інерції" data-language-autonym="Українська" data-language-local-name="ucraino" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Xayoliy_kuch" title="Xayoliy kuch - uzbeco" lang="uz" hreflang="uz" data-title="Xayoliy kuch" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeco" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/L%E1%BB%B1c_qu%C3%A1n_t%C3%ADnh" title="Lực quán tính - vietnamita" lang="vi" hreflang="vi" data-title="Lực quán tính" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%85%A3%E6%80%A7%E5%8A%9B" title="慣性力 - cinese" lang="zh" hreflang="zh" data-title="慣性力" data-language-autonym="中文" data-language-local-name="cinese" class="interlanguage-link-target"><span>中文</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/Q212126#sitelinks-wikipedia" title="Modifica collegamenti interlinguistici" class="wbc-editpage">Modifica collegamenti</a></span></div> </div> </div> </div> </header> <div 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</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">Da Wikipedia, l'enciclopedia libera.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"><span class="mw-redirectedfrom">(Reindirizzamento da <strong><a href="/w/index.php?title=Forza_d%27inerzia&redirect=no" class="mw-redirect" title="Forza d'inerzia">Forza d'inerzia</a></strong>)</span></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="it" dir="ltr"><p>In <a href="/wiki/Meccanica_classica" title="Meccanica classica">meccanica classica</a>, un'<b>interazione apparente</b>, detta anche <i>interazione fittizia</i> o <i>inerziale</i>, è una <a href="/wiki/Forza" title="Forza">forza</a>, o un <a href="/wiki/Momento_meccanico" title="Momento meccanico">momento</a>, che, anche se non vi viene applicata direttamente, agisce su un corpo al pari delle forze e dei momenti <i>reali</i>, o <i>effettivi</i>. Una definizione più rigorosa può essere la seguente: </p> <dl><dd><i>«Dato un osservatore solidale con un <a href="/wiki/Sistema_di_riferimento_non_inerziale" title="Sistema di riferimento non inerziale">sistema di riferimento non inerziale</a>, cioè che non si trova in stato di quiete o di moto rettilineo uniforme rispetto ad un altro <a href="/wiki/Sistema_di_riferimento_inerziale" title="Sistema di riferimento inerziale">sistema di riferimento inerziale</a>, un'interazione apparente è una forza, o un momento, che l'osservatore vede come agente al pari delle interazioni reali, anche se non deriva da alcuna interazione fisica diretta, ma ha origine nell'<a href="/wiki/Accelerazione" title="Accelerazione">accelerazione</a> del sistema di riferimento medesimo.»</i></dd></dl> <p>Esattamente come le interazioni reali, anche le interazioni apparenti rispettano le <a href="/wiki/Equazioni_cardinali_della_dinamica" class="mw-redirect" title="Equazioni cardinali della dinamica">equazioni cardinali della dinamica</a> e, con opportune considerazioni, anche il <a href="/wiki/Secondo_principio_della_dinamica" class="mw-redirect" title="Secondo principio della dinamica">secondo principio della dinamica</a>. Tuttavia, a causa della loro natura, esse non possono in alcun modo rispettare il <a href="/wiki/Terzo_principio_della_dinamica" class="mw-redirect" title="Terzo principio della dinamica">terzo principio della dinamica</a>, il quale si riferisce solo alle interazioni reali. Non di rado in meccanica classica, può essere conveniente risolvere problemi fisici considerando sistemi di riferimento non inerziali; in ognuno di questi casi, sarà necessario tenere in considerazione la presenza di interazioni apparenti dovute all'accelerazione del sistema. </p><p>Ad esempio, la <a href="/wiki/Superficie_della_Terra" class="mw-redirect" title="Superficie della Terra">superficie della Terra</a>, per fenomeni su scala significativamente ampia rispetto ai moti della terra, non costituisce un valido sistema inerziale per via della sua rotazione. Se per esempio per un fenomeno come la caduta di un grave da un'altezza di pochi metri non vale la pena di tenere in considerazione i moti della terra, lo stesso non si può dire per fenomeni come il lancio di un satellite o il viaggio intercontinentale di un aereo. Nell'analisi di ogni <a href="/wiki/Sistema_fisico" class="mw-redirect" title="Sistema fisico">sistema fisico</a> situato sulla Terra, sarà dunque necessario prevedere l'esistenza di due forze apparenti: la <a href="/wiki/Forza_di_Coriolis" title="Forza di Coriolis">forza di Coriolis</a> e la <a href="/wiki/Forza_centrifuga" title="Forza centrifuga">forza centrifuga</a>. Queste forze, sebbene non evidentemente distinguibili nelle attività umane di ogni giorno, sono alla base di fenomeni quali il <a href="/wiki/Pendolo_di_Foucault" title="Pendolo di Foucault">pendolo di Foucault</a>. </p><p>Le interazioni apparenti sono ancora più evidenti in casi come il viaggio di un treno, poiché quando il mezzo frena o accelera bruscamente i passeggeri e gli oggetti collocati a bordo del mezzo avvertiranno forze talvolta pericolosamente intense ma senza che ci sia qualcosa che li spinga. In questo caso, la <a href="/wiki/Superficie_terrestre" class="mw-redirect" title="Superficie terrestre">superficie terrestre</a> può essere considerata approssimativamente inerziale, e pertanto il sistema di riferimento interno al treno, in accelerazione rispetto ad essa, è sicuramente non inerziale. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Secondo_principio_della_dinamica_in_sistemi_non_inerziali">Secondo principio della dinamica in sistemi non inerziali</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Interazione_apparente&veaction=edit&section=1" title="Modifica la sezione Secondo principio della dinamica in sistemi non inerziali" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Interazione_apparente&action=edit&section=1" title="Edit section's source code: Secondo principio della dinamica in sistemi non inerziali"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r130657691">body:not(.skin-minerva) .mw-parser-output .vedi-anche{font-size:95%}</style><style data-mw-deduplicate="TemplateStyles:r139142988">.mw-parser-output .hatnote-content{align-items:center;display:flex}.mw-parser-output .hatnote-icon{flex-shrink:0}.mw-parser-output .hatnote-icon img{display:flex}.mw-parser-output .hatnote-text{font-style:italic}body:not(.skin-minerva) .mw-parser-output .hatnote{border:1px solid #CCC;display:flex;margin:.5em 0;padding:.2em .5em}body:not(.skin-minerva) .mw-parser-output .hatnote-text{padding-left:.5em}body.skin-minerva .mw-parser-output .hatnote-icon{padding-right:8px}body.skin-minerva .mw-parser-output .hatnote-icon img{height:auto;width:16px}body.skin--responsive .mw-parser-output .hatnote a.new{color:#d73333}body.skin--responsive .mw-parser-output .hatnote a.new:visited{color:#a55858}</style> <div class="hatnote noprint vedi-anche"> <div class="hatnote-content"><span class="noviewer hatnote-icon" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/Magnifying_glass_icon_mgx2.svg/18px-Magnifying_glass_icon_mgx2.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/Magnifying_glass_icon_mgx2.svg/27px-Magnifying_glass_icon_mgx2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/87/Magnifying_glass_icon_mgx2.svg/36px-Magnifying_glass_icon_mgx2.svg.png 2x" data-file-width="286" data-file-height="280" /></span></span> <span class="hatnote-text">Lo stesso argomento in dettaglio: <b><a href="/wiki/Teorema_di_Coriolis" title="Teorema di Coriolis">Teorema di Coriolis</a></b>.</span></div> </div> <p>Si prenda un sistema di riferimento inerziale <i>assoluto</i>, ossia tenuto fisso, in coordinate cartesiane <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 \{{\hat {x}},\ {\hat {y}},\ {\hat {z}}\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo fence="false" stretchy="false">{</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>x</mi> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>,</mo> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>y</mi> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>,</mo> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>z</mi> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \{{\hat {x}},\ {\hat {y}},\ {\hat {z}}\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/493103486874342f6c67a7bea47b7740b18a69dc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.482ex; height:2.843ex;" alt="{\displaystyle \{{\hat {x}},\ {\hat {y}},\ {\hat {z}}\}}"></span> centrato nel punto <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 O}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d70e1d0d87e2ef1092ea1ffe2923d9933ff18fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.773ex; height:2.176ex;" alt="{\displaystyle O}"></span> e un sistema di riferimento non inerziale in coordinate cartesiane <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 \{{\hat {x}}',\ {\hat {y}}',\ {\hat {z}}'\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo fence="false" stretchy="false">{</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>x</mi> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>′</mo> </msup> <mo>,</mo> <mtext> </mtext> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>y</mi> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>′</mo> </msup> <mo>,</mo> <mtext> </mtext> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>z</mi> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>′</mo> </msup> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \{{\hat {x}}',\ {\hat {y}}',\ {\hat {z}}'\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/713cf62eb25bc41ffcf3254c1e74e752268c1b8a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.536ex; height:3.009ex;" alt="{\displaystyle \{{\hat {x}}',\ {\hat {y}}',\ {\hat {z}}'\}}"></span> centrato nel punto <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 O'}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>O</mi> <mo>′</mo> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O'}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/470d46b4d626e35d82cd0d9f9aadc65ac47ab568" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.458ex; height:2.509ex;" alt="{\displaystyle O'}"></span>. Sia il sistema non inerziale in <i>moto roto-traslatorio</i> rispetto al primo, siano <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 {\boldsymbol {\omega }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ω</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {\omega }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7cb8af7a2f64af348e559652b6b1f0d2415ba444" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.669ex; height:1.676ex;" alt="{\displaystyle {\boldsymbol {\omega }}}"></span> e <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 {\boldsymbol {\omega }}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="bold-italic">ω</mi> <mo>˙</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\dot {\boldsymbol {\omega }}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07291380f0c7f97fdc8cd25136a36c77caeecf6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.669ex; height:2.176ex;" alt="{\displaystyle {\dot {\boldsymbol {\omega }}}}"></span>, rispettivamente, i suoi vettori <a href="/wiki/Velocit%C3%A0_angolare" title="Velocità angolare">velocità</a> e <a href="/wiki/Accelerazione_angolare" title="Accelerazione angolare">accelerazione angolare</a> e sia <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 {r} '=\{x',\ y',\ z'\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>′</mo> </msup> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <msup> <mi>x</mi> <mo>′</mo> </msup> <mo>,</mo> <mtext> </mtext> <msup> <mi>y</mi> <mo>′</mo> </msup> <mo>,</mo> <mtext> </mtext> <msup> <mi>z</mi> <mo>′</mo> </msup> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {r} '=\{x',\ y',\ z'\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/027e559976ea997d86961980e13c35f1bb6b29d4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.074ex; height:3.009ex;" alt="{\displaystyle \mathbf {r} '=\{x',\ y',\ z'\}}"></span> il vettore posizione nel sistema non inerziale. Ricordando che i versori variano rispetto al tempo, si derivi <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 {r} '=x'{\hat {\mathbf {i} }}'+y'{\hat {\mathbf {j} }}'+z'{\hat {\mathbf {k} }}'}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>′</mo> </msup> <mo>=</mo> <msup> <mi>x</mi> <mo>′</mo> </msup> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">i</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>′</mo> </msup> <mo>+</mo> <msup> <mi>y</mi> <mo>′</mo> </msup> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">j</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>′</mo> </msup> <mo>+</mo> <msup> <mi>z</mi> <mo>′</mo> </msup> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">k</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> </mrow> <mo>′</mo> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {r} '=x'{\hat {\mathbf {i} }}'+y'{\hat {\mathbf {j} }}'+z'{\hat {\mathbf {k} }}'}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/20cbef28d2befc3af3e50e1bc4786ac7b139a31d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:21.991ex; height:3.509ex;" alt="{\displaystyle \mathbf {r} '=x'{\hat {\mathbf {i} }}'+y'{\hat {\mathbf {j} }}'+z'{\hat {\mathbf {k} }}'}"></span> rispetto al tempo: </p> <dl><dd><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 {v} '=\mathbf {v} -\underbrace {(\mathbf {v} _{O'}+{\boldsymbol {\omega }}\times \mathbf {r} ')} _{\displaystyle {\mathbf {v} _{\text{tr}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo>′</mo> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo>−</mo> <munder> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <munder> <mrow> <mo stretchy="false">(</mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi>O</mi> <mo>′</mo> </msup> </mrow> </msub> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ω</mi> </mrow> <mo>×</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>′</mo> </msup> <mo stretchy="false">)</mo> </mrow> <mo>⏟</mo> </munder> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>tr</mtext> </mrow> </msub> </mrow> </mstyle> </mrow> </munder> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {v} '=\mathbf {v} -\underbrace {(\mathbf {v} _{O'}+{\boldsymbol {\omega }}\times \mathbf {r} ')} _{\displaystyle {\mathbf {v} _{\text{tr}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3e574b809e45428b90c55fd8f55101c0a367f4ff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.671ex; margin-right: -0.028ex; width:23.848ex; height:6.843ex;" alt="{\displaystyle \mathbf {v} '=\mathbf {v} -\underbrace {(\mathbf {v} _{O'}+{\boldsymbol {\omega }}\times \mathbf {r} ')} _{\displaystyle {\mathbf {v} _{\text{tr}}}}}"></span></dd></dl> <p>dove <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 {v} _{\text{tr}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>tr</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {v} _{\text{tr}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/04ae0b86cf02ab86d8608fadc099196f23dfc2cd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.928ex; height:2.009ex;" alt="{\displaystyle \mathbf {v} _{\text{tr}}}"></span> è la <i>velocità di trascinamento</i>, ovvero la velocità di un punto solidale al sistema mobile misurata rispetto al sistema fisso. Essa deve il suo nome al fatto che il punto appare come se venisse trascinato dal moto del sistema. Derivando ulteriormente rispetto al tempo <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 {v} '}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo>′</mo> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {v} '}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eda93d5afe45eb64a74e252ad598abad1531e244" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.096ex; height:2.509ex;" alt="{\displaystyle \mathbf {v} '}"></span> si ottiene: </p> <dl><dd><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 {a} '=\mathbf {a} -\underbrace {[\mathbf {a} _{O'}+({\dot {\boldsymbol {\omega }}}\times \mathbf {r} ')+\overbrace {{\boldsymbol {\omega }}\times ({\boldsymbol {\omega }}\times \mathbf {r} ')} ^{\displaystyle {\mathbf {a} _{\text{c}}}}]} _{\displaystyle {\mathbf {a} _{\text{tr}}}}-\overbrace {2{\boldsymbol {\omega }}\times \mathbf {v} '} ^{\displaystyle {\mathbf {a} _{\text{Co}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mo>′</mo> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mo>−</mo> <munder> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <munder> <mrow> <mo stretchy="false">[</mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi>O</mi> <mo>′</mo> </msup> </mrow> </msub> <mo>+</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="bold-italic">ω</mi> <mo>˙</mo> </mover> </mrow> </mrow> <mo>×</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>′</mo> </msup> <mo stretchy="false">)</mo> <mo>+</mo> <mover> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <mover> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ω</mi> </mrow> <mo>×</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ω</mi> </mrow> <mo>×</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>′</mo> </msup> <mo stretchy="false">)</mo> </mrow> <mo>⏞</mo> </mover> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>c</mtext> </mrow> </msub> </mrow> </mstyle> </mrow> </mover> <mo stretchy="false">]</mo> </mrow> <mo>⏟</mo> </munder> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>tr</mtext> </mrow> </msub> </mrow> </mstyle> </mrow> </munder> <mo>−</mo> <mover> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <mover> <mrow> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ω</mi> </mrow> <mo>×</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo>′</mo> </msup> </mrow> <mo>⏞</mo> </mover> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>Co</mtext> </mrow> </msub> </mrow> </mstyle> </mrow> </mover> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {a} '=\mathbf {a} -\underbrace {[\mathbf {a} _{O'}+({\dot {\boldsymbol {\omega }}}\times \mathbf {r} ')+\overbrace {{\boldsymbol {\omega }}\times ({\boldsymbol {\omega }}\times \mathbf {r} ')} ^{\displaystyle {\mathbf {a} _{\text{c}}}}]} _{\displaystyle {\mathbf {a} _{\text{tr}}}}-\overbrace {2{\boldsymbol {\omega }}\times \mathbf {v} '} ^{\displaystyle {\mathbf {a} _{\text{Co}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dce2cc2ee68aa961b521a3ae5b52fffd5e0218dc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.671ex; margin-right: -0.028ex; width:50.87ex; height:10.343ex;" alt="{\displaystyle \mathbf {a} '=\mathbf {a} -\underbrace {[\mathbf {a} _{O'}+({\dot {\boldsymbol {\omega }}}\times \mathbf {r} ')+\overbrace {{\boldsymbol {\omega }}\times ({\boldsymbol {\omega }}\times \mathbf {r} ')} ^{\displaystyle {\mathbf {a} _{\text{c}}}}]} _{\displaystyle {\mathbf {a} _{\text{tr}}}}-\overbrace {2{\boldsymbol {\omega }}\times \mathbf {v} '} ^{\displaystyle {\mathbf {a} _{\text{Co}}}}}"></span></dd></dl> <p>dove <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 {a} _{\text{tr}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>tr</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {a} _{\text{tr}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e50e92899b1ba41fe70a54bfd6b23f1e161d0fb8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.816ex; height:2.009ex;" alt="{\displaystyle \mathbf {a} _{\text{tr}}}"></span> è l'<i>accelerazione di trascinamento</i>, <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 {a} _{\text{c}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>c</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {a} _{\text{c}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a94faa19737d3ffeeed1872f45f77137b6135ea7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.262ex; height:2.009ex;" alt="{\displaystyle \mathbf {a} _{\text{c}}}"></span> è l'<i><a href="/wiki/Accelerazione_centripeta" class="mw-redirect" title="Accelerazione centripeta">accelerazione centripeta</a></i> e <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 {a} _{\text{Co}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>Co</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {a} _{\text{Co}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/571f7c11340efd3b6a7935ca11c8c6c62f3bb4ff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.54ex; height:2.009ex;" alt="{\displaystyle \mathbf {a} _{\text{Co}}}"></span> è detta <i>accelerazione di Coriolis</i>. Si può così estendere la validità del secondo principio della dinamica anche ai sistemi non inerziali purché, oltre alle forze reali <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 {F} ^{(e)}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>e</mi> <mo stretchy="false">)</mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {F} ^{(e)}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d082a7940a7a8de92f9baa5c7fe20c116ce919e9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.96ex; height:2.843ex;" alt="{\displaystyle \mathbf {F} ^{(e)}}"></span>, si aggiungano anche le forze apparenti <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 {F} ^{(a)}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>a</mi> <mo stretchy="false">)</mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {F} ^{(a)}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ccef3417a76566324765a87488e3f2867746bd6b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.064ex; height:2.843ex;" alt="{\displaystyle \mathbf {F} ^{(a)}}"></span>, le quali, come detto, esistono solo se il sistema è non inerziale: </p> <dl><dd><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\mathbf {a} '=\mathbf {F} ^{(e)}+\mathbf {F} ^{(a)}=\mathbf {F} ^{(e)}-\underbrace {m\mathbf {a} _{O'}-m({\dot {\boldsymbol {\omega }}}\times \mathbf {r} ')+\mathbf {F} _{c}} _{\displaystyle {\mathbf {F} _{\text{tr}}}}+\mathbf {F} _{\text{Co}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mo>′</mo> </msup> <mo>=</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>e</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo>+</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>a</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo>=</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>e</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo>−</mo> <munder> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <munder> <mrow> <mi>m</mi> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi>O</mi> <mo>′</mo> </msup> </mrow> </msub> <mo>−</mo> <mi>m</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi mathvariant="bold-italic">ω</mi> <mo>˙</mo> </mover> </mrow> </mrow> <mo>×</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>′</mo> </msup> <mo stretchy="false">)</mo> <mo>+</mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msub> </mrow> <mo>⏟</mo> </munder> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>tr</mtext> </mrow> </msub> </mrow> </mstyle> </mrow> </munder> <mo>+</mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>Co</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m\mathbf {a} '=\mathbf {F} ^{(e)}+\mathbf {F} ^{(a)}=\mathbf {F} ^{(e)}-\underbrace {m\mathbf {a} _{O'}-m({\dot {\boldsymbol {\omega }}}\times \mathbf {r} ')+\mathbf {F} _{c}} _{\displaystyle {\mathbf {F} _{\text{tr}}}}+\mathbf {F} _{\text{Co}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a94cb6e5338aacc55a3f5306a083d0e7431a90ad" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -5.171ex; width:58.462ex; height:7.676ex;" alt="{\displaystyle m\mathbf {a} '=\mathbf {F} ^{(e)}+\mathbf {F} ^{(a)}=\mathbf {F} ^{(e)}-\underbrace {m\mathbf {a} _{O'}-m({\dot {\boldsymbol {\omega }}}\times \mathbf {r} ')+\mathbf {F} _{c}} _{\displaystyle {\mathbf {F} _{\text{tr}}}}+\mathbf {F} _{\text{Co}}}"></span></dd></dl> <p>dove <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 {F} _{\text{tr}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>tr</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {F} _{\text{tr}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9b167b97461d9a68ef7149106b2a951bbe30c65a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.199ex; height:2.509ex;" alt="{\displaystyle \mathbf {F} _{\text{tr}}}"></span> è la <i>forza di trascinamento</i>, <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 {F} _{\text{c}}=-m\mathbf {a} _{\text{c}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>c</mtext> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mi>m</mi> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>c</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {F} _{\text{c}}=-m\mathbf {a} _{\text{c}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/45a9bf30bf2aa7dc8cddedcbeb2f6c41ade0f33d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.854ex; height:2.509ex;" alt="{\displaystyle \mathbf {F} _{\text{c}}=-m\mathbf {a} _{\text{c}}}"></span> è detta <i><a href="/wiki/Forza_centrifuga" title="Forza centrifuga">forza centrifuga</a></i>, mentre <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 {F} _{\text{Co}}=-m\mathbf {a} _{\text{Co}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">F</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>Co</mtext> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mi>m</mi> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>Co</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {F} _{\text{Co}}=-m\mathbf {a} _{\text{Co}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ae67c584ec6e23e4932bf4d6865ee31588b370bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:14.411ex; height:2.509ex;" alt="{\displaystyle \mathbf {F} _{\text{Co}}=-m\mathbf {a} _{\text{Co}}}"></span> è detta <i><a href="/wiki/Forza_di_Coriolis" title="Forza di Coriolis">forza di Coriolis</a></i>. </p> <div class="mw-heading mw-heading3"><h3 id="Legame_con_le_trasformazioni_di_Galileo">Legame con le trasformazioni di Galileo</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Interazione_apparente&veaction=edit&section=2" title="Modifica la sezione Legame con le trasformazioni di Galileo" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Interazione_apparente&action=edit&section=2" title="Edit section's source code: Legame con le trasformazioni di Galileo"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r130657691"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r139142988"> <div class="hatnote noprint vedi-anche"> <div class="hatnote-content"><span class="noviewer hatnote-icon" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/Magnifying_glass_icon_mgx2.svg/18px-Magnifying_glass_icon_mgx2.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/Magnifying_glass_icon_mgx2.svg/27px-Magnifying_glass_icon_mgx2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/87/Magnifying_glass_icon_mgx2.svg/36px-Magnifying_glass_icon_mgx2.svg.png 2x" data-file-width="286" data-file-height="280" /></span></span> <span class="hatnote-text">Lo stesso argomento in dettaglio: <b><a href="/wiki/Trasformazioni_di_Galileo" class="mw-redirect" title="Trasformazioni di Galileo">Trasformazioni di Galileo</a></b>.</span></div> </div> <p>Si osservi che se il secondo sistema ha gli assi ad orientamento fisso e paralleli a quelli del sistema assoluto e si muove di moto rettilineo uniforme, ovvero <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 {a} _{O'}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi>O</mi> <mo>′</mo> </msup> </mrow> </msub> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {a} _{O'}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c8538fb5944ebca9eccbbaf38da9e81d2550b5f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.578ex; height:2.676ex;" alt="{\displaystyle \mathbf {a} _{O'}=0}"></span> e <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 {\boldsymbol {\omega }}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ω</mi> </mrow> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {\omega }}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/19302f32097dd37211e47d9b434ec66a4a4e9d83" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.93ex; height:2.176ex;" alt="{\displaystyle {\boldsymbol {\omega }}=0}"></span>, si ricavano le <a href="/wiki/Trasformazione_galileiana" title="Trasformazione galileiana">trasformazioni galileiane</a>: </p><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 {\begin{cases}\mathbf {r} '=\mathbf {r} -\mathbf {v} _{O'}t\\\mathbf {v} '=\mathbf {v} -\mathbf {v} _{O'}\\\mathbf {a} '=\mathbf {a} \end{cases}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>{</mo> <mtable columnalign="left left" rowspacing=".2em" columnspacing="1em" displaystyle="false"> <mtr> <mtd> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>′</mo> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>−</mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi>O</mi> <mo>′</mo> </msup> </mrow> </msub> <mi>t</mi> </mtd> </mtr> <mtr> <mtd> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo>′</mo> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mo>−</mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">v</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi>O</mi> <mo>′</mo> </msup> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> <mo>′</mo> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">a</mi> </mrow> </mtd> </mtr> </mtable> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{cases}\mathbf {r} '=\mathbf {r} -\mathbf {v} _{O'}t\\\mathbf {v} '=\mathbf {v} -\mathbf {v} _{O'}\\\mathbf {a} '=\mathbf {a} \end{cases}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/acf6a4d3449ebf58ca0d4be74307d0c14e9a1d1e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.838ex; width:15.913ex; height:8.843ex;" alt="{\displaystyle {\begin{cases}\mathbf {r} '=\mathbf {r} -\mathbf {v} _{O'}t\\\mathbf {v} '=\mathbf {v} -\mathbf {v} _{O'}\\\mathbf {a} '=\mathbf {a} \end{cases}}}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Voci_correlate">Voci correlate</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Interazione_apparente&veaction=edit&section=3" title="Modifica la sezione Voci correlate" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Interazione_apparente&action=edit&section=3" title="Edit section's source code: Voci correlate"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Sistema_di_riferimento" title="Sistema di riferimento">Sistema di riferimento</a></li> <li><a href="/wiki/Sistema_di_riferimento_non_inerziale" title="Sistema di riferimento non inerziale">Sistema di riferimento non inerziale</a></li> <li><a href="/wiki/Forza_centrifuga" title="Forza centrifuga">Forza centrifuga</a></li> <li><a href="/wiki/Forza_di_Coriolis" title="Forza di Coriolis">Forza di Coriolis</a></li> <li><a href="/wiki/Interazione_gravitazionale" title="Interazione gravitazionale">Interazione gravitazionale</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Collegamenti_esterni">Collegamenti esterni</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Interazione_apparente&veaction=edit&section=4" title="Modifica la sezione Collegamenti esterni" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Interazione_apparente&action=edit&section=4" title="Edit section's source code: Collegamenti esterni"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li class="mw-empty-elt"></li> <li><cite id="CITEREFBritannica.com" class="citation web" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="https://www.britannica.com/science/inertial-force"><span style="font-style:italic;">inertial force</span></a>, su <span style="font-style:italic;"><a href="/wiki/Enciclopedia_Britannica" title="Enciclopedia Britannica">Enciclopedia Britannica</a></span>, Encyclopædia Britannica, Inc.</cite> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q212126#P1417" title="Modifica su Wikidata"><img alt="Modifica su Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></li></ul> <style data-mw-deduplicate="TemplateStyles:r140554510">.mw-parser-output .CdA{border:1px solid #aaa;width:100%;margin:auto;font-size:90%;padding:2px}.mw-parser-output .CdA th{background-color:#f2f2f2;font-weight:bold;width:20%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .CdA{border-color:#54595D}html.skin-theme-clientpref-night .mw-parser-output .CdA th{background-color:#202122}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .CdA{border-color:#54595D}html.skin-theme-clientpref-os .mw-parser-output .CdA th{background-color:#202122}}</style><table class="CdA"><tbody><tr><th><a href="/wiki/Aiuto:Controllo_di_autorit%C3%A0" title="Aiuto:Controllo di autorità">Controllo di autorità</a></th><td><a href="/wiki/Nuovo_soggettario" title="Nuovo soggettario">Thesaurus BNCF</a> <span class="uid"><a rel="nofollow" class="external text" href="https://thes.bncf.firenze.sbn.it/termine.php?id=66907">66907</a></span><span style="font-weight:bold;"> ·</span> <a href="/wiki/Gemeinsame_Normdatei" title="Gemeinsame Normdatei">GND</a> <span class="uid">(<span style="font-weight:bolder; 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Interazione apparente - Wikipedia