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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&utm_medium=sidebar&utm_campaign=C13_no.wikipedia.org&uselang=nb" class=""><span>Doner</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=Spesial:Opprett_konto&returnto=Dreiemoment" title="Du oppfordres til å opprette en konto og logge inn, men det er ikke obligatorisk" class=""><span>Opprett konto</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=Spesial:Logg_inn&returnto=Dreiemoment" title="Du oppfordres til å logge inn, men det er ikke obligatorisk 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mw-portlet-personal user-links-collapsible-item" title="Brukermeny" > <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&utm_medium=sidebar&utm_campaign=C13_no.wikipedia.org&uselang=nb"><span>Doner</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Spesial:Opprett_konto&returnto=Dreiemoment" title="Du oppfordres til å opprette en konto og logge inn, men det er ikke obligatorisk"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Opprett konto</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Spesial:Logg_inn&returnto=Dreiemoment" title="Du oppfordres til å logge inn, men det er ikke obligatorisk [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Logg inn</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"></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="Nettsted"> <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="Innhold" 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">Innhold</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">flytt til sidefeltet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skjul</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">(Til toppen)</div> </a> </li> <li id="toc-Enheten" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Enheten"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Enheten</span> </div> </a> <ul id="toc-Enheten-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Dreiemoment_som_funksjon_av_tiden" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Dreiemoment_som_funksjon_av_tiden"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Dreiemoment som funksjon av tiden</span> </div> </a> <ul id="toc-Dreiemoment_som_funksjon_av_tiden-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Eksempel" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Eksempel"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Eksempel</span> </div> </a> <button aria-controls="toc-Eksempel-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Vis/skjul underseksjonen Eksempel</span> </button> <ul id="toc-Eksempel-sublist" class="vector-toc-list"> <li id="toc-Hvordan_løsner_bolten_lettest?" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Hvordan_løsner_bolten_lettest?"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Hvordan løsner bolten lettest?</span> </div> </a> <ul id="toc-Hvordan_løsner_bolten_lettest?-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Dreiemoment_og_vinkelhastighet" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Dreiemoment_og_vinkelhastighet"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Dreiemoment og vinkelhastighet</span> </div> </a> <ul id="toc-Dreiemoment_og_vinkelhastighet-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Se_også" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Se_også"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Se også</span> </div> </a> <ul id="toc-Se_også-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="Innhold" 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="Vis/skjul innholdsfortegnelsen" > <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">Vis/skjul innholdsfortegnelsen</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">Dreiemoment</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="Gå til en artikkel på et annet språk. Tilgjengelig på 77 språk" > <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-77" 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">77 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Dreiemoment" title="Dreiemoment – norsk nynorsk" lang="nn" hreflang="nn" data-title="Dreiemoment" data-language-autonym="Norsk nynorsk" data-language-local-name="norsk nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Drejningsmoment" title="Drejningsmoment – dansk" lang="da" hreflang="da" data-title="Drejningsmoment" data-language-autonym="Dansk" data-language-local-name="dansk" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Vridmoment" title="Vridmoment – svensk" lang="sv" hreflang="sv" data-title="Vridmoment" data-language-autonym="Svenska" data-language-local-name="svensk" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Sn%C3%BAningsv%C3%A6gi" title="Snúningsvægi – islandsk" lang="is" hreflang="is" data-title="Snúningsvægi" data-language-autonym="Íslenska" data-language-local-name="islandsk" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Wringkrag" title="Wringkrag – afrikaans" lang="af" hreflang="af" data-title="Wringkrag" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%B2%D9%85_%D8%A7%D9%84%D8%AF%D9%88%D8%B1%D8%A7%D9%86" title="عزم الدوران – arabisk" lang="ar" hreflang="ar" data-title="عزم الدوران" data-language-autonym="العربية" data-language-local-name="arabisk" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%AD%E0%A7%8D%E0%A7%B0%E0%A6%BE%E0%A6%AE%E0%A6%95" title="ভ্ৰামক – assamesisk" lang="as" hreflang="as" data-title="ভ্ৰামক" data-language-autonym="অসমীয়া" data-language-local-name="assamesisk" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Momentu_de_fuercia" title="Momentu de fuercia – asturisk" lang="ast" hreflang="ast" data-title="Momentu de fuercia" data-language-autonym="Asturianu" data-language-local-name="asturisk" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Moment" title="Moment – aserbajdsjansk" lang="az" hreflang="az" data-title="Moment" data-language-autonym="Azərbaycanca" data-language-local-name="aserbajdsjansk" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%9F%E0%A6%B0%E0%A7%8D%E0%A6%95" title="টর্ক – bengali" lang="bn" hreflang="bn" data-title="টর্ক" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B0%D0%BD%D1%82_%D1%81%D1%96%D0%BB%D1%8B" title="Момант сілы – belarusisk" lang="be" hreflang="be" data-title="Момант сілы" data-language-autonym="Беларуская" data-language-local-name="belarusisk" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B0%D0%BD%D1%82_%D1%81%D1%96%D0%BB%D1%8B" title="Момант сілы – belarusisk (klassisk ortografi)" lang="be-tarask" hreflang="be-tarask" data-title="Момант сілы" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="belarusisk (klassisk ortografi)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B5%D0%BD%D1%82_%D0%BD%D0%B0_%D1%81%D0%B8%D0%BB%D0%B0" title="Момент на сила – bulgarsk" lang="bg" hreflang="bg" data-title="Момент на сила" data-language-autonym="Български" data-language-local-name="bulgarsk" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Drehmaument" title="Drehmaument – bairisk" lang="bar" hreflang="bar" data-title="Drehmaument" data-language-autonym="Boarisch" data-language-local-name="bairisk" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Moment_sile" title="Moment sile – bosnisk" lang="bs" hreflang="bs" data-title="Moment sile" data-language-autonym="Bosanski" data-language-local-name="bosnisk" 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/Parell_de_forces" title="Parell de forces – katalansk" lang="ca" hreflang="ca" data-title="Parell de forces" data-language-autonym="Català" data-language-local-name="katalansk" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%92%C4%83%D0%B9_%D1%81%D0%B0%D0%BC%D0%B0%D0%BD%D1%87%C4%95" title="Вăй саманчĕ – tsjuvasjisk" lang="cv" hreflang="cv" data-title="Вăй саманчĕ" data-language-autonym="Чӑвашла" data-language-local-name="tsjuvasjisk" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/To%C4%8Div%C3%BD_moment" title="Točivý moment – tsjekkisk" lang="cs" hreflang="cs" data-title="Točivý moment" data-language-autonym="Čeština" data-language-local-name="tsjekkisk" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Moment" title="Moment – walisisk" lang="cy" hreflang="cy" data-title="Moment" data-language-autonym="Cymraeg" data-language-local-name="walisisk" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Drehmoment" title="Drehmoment – tysk" lang="de" hreflang="de" data-title="Drehmoment" data-language-autonym="Deutsch" data-language-local-name="tysk" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/J%C3%B5umoment" title="Jõumoment – estisk" lang="et" hreflang="et" data-title="Jõumoment" data-language-autonym="Eesti" data-language-local-name="estisk" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A1%CE%BF%CF%80%CE%AE" title="Ροπή – gresk" lang="el" hreflang="el" data-title="Ροπή" data-language-autonym="Ελληνικά" data-language-local-name="gresk" 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/Torque" title="Torque – engelsk" lang="en" hreflang="en" data-title="Torque" data-language-autonym="English" data-language-local-name="engelsk" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Momento_de_fuerza" title="Momento de fuerza – spansk" lang="es" hreflang="es" data-title="Momento de fuerza" data-language-autonym="Español" data-language-local-name="spansk" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Torda_momanto" title="Torda momanto – esperanto" lang="eo" hreflang="eo" data-title="Torda momanto" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Indar_momentu" title="Indar momentu – baskisk" lang="eu" hreflang="eu" data-title="Indar momentu" data-language-autonym="Euskara" data-language-local-name="baskisk" 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/%DA%AF%D8%B4%D8%AA%D8%A7%D9%88%D8%B1_%D9%86%DB%8C%D8%B1%D9%88" title="گشتاور نیرو – persisk" lang="fa" hreflang="fa" data-title="گشتاور نیرو" data-language-autonym="فارسی" data-language-local-name="persisk" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Moment_d%27une_force" title="Moment d'une force – fransk" lang="fr" hreflang="fr" data-title="Moment d'une force" data-language-autonym="Français" data-language-local-name="fransk" 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/Casmh%C3%B3imint" title="Casmhóimint – irsk" lang="ga" hreflang="ga" data-title="Casmhóimint" data-language-autonym="Gaeilge" data-language-local-name="irsk" 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/Torque_(magnitude)" title="Torque (magnitude) – galisisk" lang="gl" hreflang="gl" data-title="Torque (magnitude)" data-language-autonym="Galego" data-language-local-name="galisisk" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%8F%8C%EB%A6%BC%ED%9E%98" title="돌림힘 – koreansk" lang="ko" hreflang="ko" data-title="돌림힘" data-language-autonym="한국어" data-language-local-name="koreansk" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%88%D6%82%D5%AA%D5%AB_%D5%B4%D5%B8%D5%B4%D5%A5%D5%B6%D5%BF" title="Ուժի մոմենտ – armensk" lang="hy" hreflang="hy" data-title="Ուժի մոմենտ" data-language-autonym="Հայերեն" data-language-local-name="armensk" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/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 – hindi" lang="hi" hreflang="hi" data-title="बलाघूर्ण" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Moment_sile" title="Moment sile – kroatisk" lang="hr" hreflang="hr" data-title="Moment sile" data-language-autonym="Hrvatski" data-language-local-name="kroatisk" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Momento" title="Momento – ido" lang="io" hreflang="io" data-title="Momento" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Torsi" title="Torsi – indonesisk" lang="id" hreflang="id" data-title="Torsi" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesisk" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Momento_meccanico" title="Momento meccanico – italiensk" lang="it" hreflang="it" data-title="Momento meccanico" data-language-autonym="Italiano" data-language-local-name="italiensk" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%95%D7%9E%D7%A0%D7%98_%D7%9B%D7%95%D7%97" title="מומנט כוח – hebraisk" lang="he" hreflang="he" data-title="מומנט כוח" data-language-autonym="עברית" data-language-local-name="hebraisk" class="interlanguage-link-target"><span>עברית</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_%D0%BC%D0%BE%D0%BC%D0%B5%D0%BD%D1%82%D1%96" title="Күш моменті – kasakhisk" lang="kk" hreflang="kk" data-title="Күш моменті" data-language-autonym="Қазақша" data-language-local-name="kasakhisk" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Moman_t%C3%B2syon" title="Moman tòsyon – haitisk" lang="ht" hreflang="ht" data-title="Moman tòsyon" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitisk" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Momenta_zivir%C3%AA" title="Momenta zivirê – kurdisk" lang="ku" hreflang="ku" data-title="Momenta zivirê" data-language-autonym="Kurdî" data-language-local-name="kurdisk" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Momentum_virium" title="Momentum virium – latin" lang="la" hreflang="la" data-title="Momentum virium" data-language-autonym="Latina" data-language-local-name="latin" 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/Sp%C4%93ka_moments" title="Spēka moments – latvisk" lang="lv" hreflang="lv" data-title="Spēka moments" data-language-autonym="Latviešu" data-language-local-name="latvisk" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/J%C4%97gos_momentas" title="Jėgos momentas – litauisk" lang="lt" hreflang="lt" data-title="Jėgos momentas" data-language-autonym="Lietuvių" data-language-local-name="litauisk" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Forgat%C3%B3nyomat%C3%A9k" title="Forgatónyomaték – ungarsk" lang="hu" hreflang="hu" data-title="Forgatónyomaték" data-language-autonym="Magyar" data-language-local-name="ungarsk" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B5%D0%BD%D1%82_%D0%BD%D0%B0_%D1%81%D0%B8%D0%BB%D0%B0" title="Момент на сила – makedonsk" lang="mk" hreflang="mk" data-title="Момент на сила" data-language-autonym="Македонски" data-language-local-name="makedonsk" 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%9A%E0%B5%81%E0%B4%B4%E0%B4%B1%E0%B5%8D%E0%B4%B1%E0%B5%81%E0%B4%AC%E0%B4%B2%E0%B4%82" title="ചുഴറ്റുബലം – malayalam" lang="ml" hreflang="ml" data-title="ചുഴറ്റുബലം" data-language-autonym="മലയാളം" data-language-local-name="malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%86%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3" title="आघूर्ण – marathi" lang="mr" hreflang="mr" data-title="आघूर्ण" data-language-autonym="मराठी" data-language-local-name="marathi" 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/Tork" title="Tork – malayisk" lang="ms" hreflang="ms" data-title="Tork" data-language-autonym="Bahasa Melayu" data-language-local-name="malayisk" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Moment_(mechanica)" title="Moment (mechanica) – nederlandsk" lang="nl" hreflang="nl" data-title="Moment (mechanica)" data-language-autonym="Nederlands" data-language-local-name="nederlandsk" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%88%E3%83%AB%E3%82%AF" title="トルク – japansk" lang="ja" hreflang="ja" data-title="トルク" data-language-autonym="日本語" data-language-local-name="japansk" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Dreimoment" title="Dreimoment – nordfrisisk" lang="frr" hreflang="frr" data-title="Dreimoment" data-language-autonym="Nordfriisk" data-language-local-name="nordfrisisk" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Moment_d%27una_f%C3%B2r%C3%A7a" title="Moment d'una fòrça – oksitansk" lang="oc" hreflang="oc" data-title="Moment d'una fòrça" data-language-autonym="Occitan" data-language-local-name="oksitansk" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%B9%D8%A7%D8%B1%DA%A9" title="ٹارک – vestpunjabi" lang="pnb" hreflang="pnb" data-title="ٹارک" data-language-autonym="پنجابی" data-language-local-name="vestpunjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Moment_si%C5%82y" title="Moment siły – polsk" lang="pl" hreflang="pl" data-title="Moment siły" data-language-autonym="Polski" data-language-local-name="polsk" 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/Torque" title="Torque – portugisisk" lang="pt" hreflang="pt" data-title="Torque" data-language-autonym="Português" data-language-local-name="portugisisk" 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/Momentul_for%C8%9Bei" title="Momentul forței – rumensk" lang="ro" hreflang="ro" data-title="Momentul forței" data-language-autonym="Română" data-language-local-name="rumensk" 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%9C%D0%BE%D0%BC%D0%B5%D0%BD%D1%82_%D1%81%D0%B8%D0%BB%D1%8B" title="Момент силы – russisk" lang="ru" hreflang="ru" data-title="Момент силы" data-language-autonym="Русский" data-language-local-name="russisk" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/%C3%87asti" title="Çasti – albansk" lang="sq" hreflang="sq" data-title="Çasti" data-language-autonym="Shqip" data-language-local-name="albansk" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Torque" title="Torque – enkel engelsk" lang="en-simple" hreflang="en-simple" data-title="Torque" data-language-autonym="Simple English" data-language-local-name="enkel engelsk" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Kr%C3%BAtiaci_moment" title="Krútiaci moment – slovakisk" lang="sk" hreflang="sk" data-title="Krútiaci moment" data-language-autonym="Slovenčina" data-language-local-name="slovakisk" 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/Navor" title="Navor – slovensk" lang="sl" hreflang="sl" data-title="Navor" data-language-autonym="Slovenščina" data-language-local-name="slovensk" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%B2%DB%95%D8%A8%D8%B1" title="زەبر – sentralkurdisk" lang="ckb" hreflang="ckb" data-title="زەبر" data-language-autonym="کوردی" data-language-local-name="sentralkurdisk" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%BE%D0%BC%D0%B5%D0%BD%D1%82_%D1%81%D0%B8%D0%BB%D0%B5" title="Момент силе – serbisk" lang="sr" hreflang="sr" data-title="Момент силе" data-language-autonym="Српски / srpski" data-language-local-name="serbisk" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Obrtni_moment" title="Obrtni moment – serbokroatisk" lang="sh" hreflang="sh" data-title="Obrtni moment" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroatisk" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Voiman_momentti" title="Voiman momentti – finsk" lang="fi" hreflang="fi" data-title="Voiman momentti" data-language-autonym="Suomi" data-language-local-name="finsk" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AF%81%E0%AE%B1%E0%AF%81%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AF%81_%E0%AE%B5%E0%AE%BF%E0%AE%9A%E0%AF%88" title="முறுக்கு விசை – tamil" lang="ta" hreflang="ta" data-title="முறுக்கு விசை" data-language-autonym="தமிழ்" data-language-local-name="tamil" 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%9F%E0%B0%BE%E0%B0%B0%E0%B1%8D%E0%B0%95%E0%B1%8D" title="టార్క్ – telugu" lang="te" hreflang="te" data-title="టార్క్" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Tork" title="Tork – tyrkisk" lang="tr" hreflang="tr" data-title="Tork" data-language-autonym="Türkçe" data-language-local-name="tyrkisk" 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%9C%D0%BE%D0%BC%D0%B5%D0%BD%D1%82_%D1%81%D0%B8%D0%BB%D0%B8" title="Момент сили – ukrainsk" lang="uk" hreflang="uk" data-title="Момент сили" data-language-autonym="Українська" data-language-local-name="ukrainsk" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%AA%D8%AF%D9%88%DB%8C%D8%B1" title="تدویر – urdu" lang="ur" hreflang="ur" data-title="تدویر" data-language-autonym="اردو" data-language-local-name="urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/M%C3%B4_men_l%E1%BB%B1c" title="Mô men lực – vietnamesisk" lang="vi" hreflang="vi" data-title="Mô men lực" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamesisk" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E5%8A%9B%E7%9F%A9" title="力矩 – klassisk kinesisk" lang="lzh" hreflang="lzh" data-title="力矩" data-language-autonym="文言" data-language-local-name="klassisk kinesisk" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%8A%9B%E7%9F%A9" title="力矩 – wu" lang="wuu" hreflang="wuu" data-title="力矩" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%98%D7%95%D7%99%D7%A8%D7%A7" title="טוירק – jiddisk" lang="yi" hreflang="yi" data-title="טוירק" data-language-autonym="ייִדיש" data-language-local-name="jiddisk" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%8A%9B%E7%9F%A9" title="力矩 – kantonesisk" lang="yue" hreflang="yue" data-title="力矩" data-language-autonym="粵語" data-language-local-name="kantonesisk" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%8A%9B%E7%9F%A9" title="力矩 – kinesisk" lang="zh" hreflang="zh" data-title="力矩" data-language-autonym="中文" data-language-local-name="kinesisk" 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/Q48103#sitelinks-wikipedia" title="Rediger lenker til artikkelen på andre språk" class="wbc-editpage">Rediger lenker</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="Navnerom"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Dreiemoment" title="Vis innholdssiden [c]" accesskey="c"><span>Artikkel</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Diskusjon:Dreiemoment" rel="discussion" title="Diskusjon om innholdssiden [t]" accesskey="t"><span>Diskusjon</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Bytt språkvariant" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">norsk bokmål</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" 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data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Verktøy</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">flytt til sidefeltet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">skjul</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Flere alternativer" > <div class="vector-menu-heading"> Handlinger </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/Dreiemoment"><span>Les</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Dreiemoment&veaction=edit" title="Rediger siden [v]" accesskey="v"><span>Rediger</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Dreiemoment&action=edit" title="Rediger kildekoden for denne siden [e]" accesskey="e"><span>Rediger kilde</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Dreiemoment&action=history"><span>Vis historikk</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Generelt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Spesial:Lenker_hit/Dreiemoment" title="Liste over alle wikisider som lenker hit [j]" accesskey="j"><span>Lenker hit</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Spesial:Relaterte_endringer/Dreiemoment" rel="nofollow" title="Siste endringer i sider som blir lenket fra denne siden [k]" accesskey="k"><span>Relaterte endringer</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=no" title="Last opp filer [u]" accesskey="u"><span>Last opp fil</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Spesial:Spesialsider" title="Liste over alle spesialsider [q]" accesskey="q"><span>Spesialsider</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Dreiemoment&oldid=24337750" title="Permanent lenke til denne versjonen av siden"><span>Permanent lenke</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Dreiemoment&action=info" title="Mer informasjon om denne siden"><span>Sideinformasjon</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Spesial:Siteringshjelp&page=Dreiemoment&id=24337750&wpFormIdentifier=titleform" title="Informasjon om hvordan denne siden kan siteres"><span>Siter denne siden</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Spesial:UrlShortener&url=https%3A%2F%2Fno.wikipedia.org%2Fwiki%2FDreiemoment"><span>Hent forkortet URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Spesial:QrCode&url=https%3A%2F%2Fno.wikipedia.org%2Fwiki%2FDreiemoment"><span>Last ned QR-kode</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"> Skriv ut / eksporter </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Spesial:DownloadAsPdf&page=Dreiemoment&action=show-download-screen"><span>Last ned som 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data-file-height="399" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span"><b>Kildeløs</b>: Denne artikkelen mangler <a href="/wiki/Wikipedia:Bruk_av_kilder" title="Wikipedia:Bruk av kilder">kildehenvisninger</a>, og opplysningene i den kan dermed være vanskelige å <a href="/wiki/Wikipedia:Verifiserbarhet" title="Wikipedia:Verifiserbarhet">verifisere</a>. Kildeløst materiale kan bli <a href="/wiki/Wikipedia:Verifiserbarhet#Bevisbyrden" title="Wikipedia:Verifiserbarhet">fjernet</a>. Helt uten kilder. <span class="date-container"><i>(<span class="date">10. okt. 2015</span>)</i></span></div></td></tr></tbody></table> <p><b>Dreiemoment</b>, også kalt <b>kraftmoment</b> eller <b>torsjonsmoment</b>, beskriver i <a href="/wiki/Fysikk" title="Fysikk">fysikken</a> en <a href="/wiki/Kraft" title="Kraft">krafts</a> evne til å forandre et legemes <a href="/wiki/Rotasjon" title="Rotasjon">rotasjon</a> om sin egen akse. Dreiemoment er definert som kryssproduktet av kraft og arm (hvor armen er korteste avstand mellom kraftens angrepslinje og rotasjonssenteret). En annen definisjon kan være at momentet M er kraften F ganget med armen a der a står vinkelrett på kraften. Altså: M=Fa. Symbolet for dreiemoment er <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 \tau }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>τ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \tau }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/38a7dcde9730ef0853809fefc18d88771f95206c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.202ex; height:1.676ex;" alt="{\displaystyle \tau }"></span> (den <a href="/wiki/Det_greske_alfabetet" title="Det greske alfabetet">greske bokstaven</a> <a href="/wiki/Tau_(bokstav)" title="Tau (bokstav)">tau</a>). <a href="/wiki/SI-systemet" title="SI-systemet">SI</a>-enheten for dreiemoment er <a href="/wiki/Newtonmeter" title="Newtonmeter">Nm</a> (Newtonmeter). </p><p>For eksempel gir en kraft på 2 newton satt inn 5 meter fra rotasjonssenteret like stort dreiemoment som en kraft på 10 Newton satt inn 1 meter fra rotasjonssenteret, forutsatt at kraft og arm står vinkelrett på hverandre. Mer generelt kan vi skrive dreiemoment som <a href="/wiki/Kryssprodukt" class="mw-redirect" title="Kryssprodukt">kryssproduktet</a> av kraft og arm: </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 {\boldsymbol {\tau }}={\boldsymbol {r}}\times {\boldsymbol {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">τ</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">r</mi> </mrow> <mo>×</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {\tau }}={\boldsymbol {r}}\times {\boldsymbol {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/11d286f5c3130b833755d9cf80f784d451dcf9ba" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.467ex; height:2.176ex;" alt="{\displaystyle {\boldsymbol {\tau }}={\boldsymbol {r}}\times {\boldsymbol {F}}}"></span></dd></dl> <p>Hvor <b>F</b> er kraften og <b>r</b> er vektoren fra rotasjonssenteret til kraftens angrepspunkt. Dreiemoment er dermed en <a href="/wiki/Vektor_(matematikk)" title="Vektor (matematikk)">vektoriell</a> størrelse, og retningen er vinkelrett på både kraft og arm. </p><p>Dreiemoment kan også defineres som endringsrate per tid for <a href="/wiki/Dreieimpuls" class="mw-redirect" title="Dreieimpuls">dreieimpulsen</a> <b>L</b>, </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 {\boldsymbol {\tau }}={\frac {d\mathbf {L} }{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">τ</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">L</mi> </mrow> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {\tau }}={\frac {d\mathbf {L} }{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2e3255bb749c1e91e0394920fd9af4e3cf6dcec5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.177ex; height:5.509ex;" alt="{\displaystyle {\boldsymbol {\tau }}={\frac {d\mathbf {L} }{dt}}}"></span></dd></dl> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Enheten">Enheten</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dreiemoment&veaction=edit&section=1" title="Rediger avsnitt: Enheten" class="mw-editsection-visualeditor"><span>rediger</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Dreiemoment&action=edit&section=1" title="Rediger kildekoden til seksjonen Enheten"><span>rediger kilde</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Enheten for dreiemoment må ikke forveksles med enheten for <a href="/wiki/Arbeid_(fysikk)" title="Arbeid (fysikk)">arbeid</a> som også er Nm (som tilsvarer 1 <a href="/wiki/Joule" title="Joule">joule</a>). Arbeid er definert som <a href="/wiki/Skalarprodukt" class="mw-redirect" title="Skalarprodukt">skalarproduktet</a> av kraft og strekning, </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 W={\boldsymbol {F}}\cdot {\boldsymbol {s}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>W</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">F</mi> </mrow> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">s</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle W={\boldsymbol {F}}\cdot {\boldsymbol {s}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f177048de41cd06f28ad2c106b1c9033c3c06105" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.327ex; height:2.176ex;" alt="{\displaystyle W={\boldsymbol {F}}\cdot {\boldsymbol {s}}}"></span></dd></dl> <p>og dreiemomentet er definert som kryssproduktet av kraft og arm. </p><p>Forskjellen består i at <i>meteren</i> (m) i dreiemomentets <a href="/wiki/Newtonmeter" title="Newtonmeter">newtonmeter</a> (Nm) står vinkelrett på kraften (N), mens for arbeidets vedkommende har strekning og kraft (m og N) sammenfallende retning. Et dreiemoment på 1 N·m påført gjennom en hel omdreining vil kreve nøyaktig 2π <a href="/wiki/Joule" title="Joule">joule</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Dreiemoment_som_funksjon_av_tiden">Dreiemoment som funksjon av tiden</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dreiemoment&veaction=edit&section=2" title="Rediger avsnitt: Dreiemoment som funksjon av tiden" class="mw-editsection-visualeditor"><span>rediger</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Dreiemoment&action=edit&section=2" title="Rediger kildekoden til seksjonen Dreiemoment som funksjon av tiden"><span>rediger kilde</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Dreiemoment er den tidsderiverte av dreieimpulsen, akkurat som kraft er den tidsderiverte av bevegelsesmengden: </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 {\boldsymbol {\tau }}={d\mathbf {L} \over dt}\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">τ</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">L</mi> </mrow> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {\tau }}={d\mathbf {L} \over dt}\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d0428a950f21c93e752f0d6ddb64c1a900e56327" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; margin-right: -0.387ex; width:8.564ex; height:5.509ex;" alt="{\displaystyle {\boldsymbol {\tau }}={d\mathbf {L} \over dt}\,\!}"></span></dd></dl> <p>hvor <b>L</b> er dreieimpulsen. </p><p>Dreieimpulsen på et stivt legeme kan uttrykkes ved legemets <a href="/wiki/Treghetsmoment" title="Treghetsmoment">treghetsmoment</a> <i>I</i> og <a href="/wiki/Vinkelhastighet" title="Vinkelhastighet">vinkelhastighet</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 \omega }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ω</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \omega }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48eff443f9de7a985bb94ca3bde20813ea737be8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.446ex; height:1.676ex;" alt="{\displaystyle \omega }"></span>: </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 {L} =I\,{\boldsymbol {\omega }}\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">L</mi> </mrow> <mo>=</mo> <mi>I</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ω</mi> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {L} =I\,{\boldsymbol {\omega }}\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b589f4218f8286bc41f3648372b1b15581d2b602" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.387ex; width:8.322ex; height:2.176ex;" alt="{\displaystyle \mathbf {L} =I\,{\boldsymbol {\omega }}\,\!}"></span></dd></dl> <p>så hvis <i>I</i> er konstant, </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 {\boldsymbol {\tau }}=I{d{\boldsymbol {\omega }} \over dt}=I{\boldsymbol {\alpha }}\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">τ</mi> </mrow> <mo>=</mo> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ω</mi> </mrow> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">α</mi> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {\tau }}=I{d{\boldsymbol {\omega }} \over dt}=I{\boldsymbol {\alpha }}\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b9446d11918d37ecfda45c3010049b3b79645178" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; margin-right: -0.387ex; width:15.835ex; height:5.509ex;" alt="{\displaystyle {\boldsymbol {\tau }}=I{d{\boldsymbol {\omega }} \over dt}=I{\boldsymbol {\alpha }}\,\!}"></span></dd></dl> <p>der <b>α</b> er <a href="/wiki/Vinkelakselerasjon" title="Vinkelakselerasjon">vinkelakselerasjonen</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Eksempel">Eksempel</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dreiemoment&veaction=edit&section=3" title="Rediger avsnitt: Eksempel" class="mw-editsection-visualeditor"><span>rediger</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Dreiemoment&action=edit&section=3" title="Rediger kildekoden til seksjonen Eksempel"><span>rediger kilde</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Hvordan_løsner_bolten_lettest?"><span id="Hvordan_l.C3.B8sner_bolten_lettest.3F"></span>Hvordan løsner bolten lettest?</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dreiemoment&veaction=edit&section=4" title="Rediger avsnitt: Hvordan løsner bolten lettest?" class="mw-editsection-visualeditor"><span>rediger</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Dreiemoment&action=edit&section=4" title="Rediger kildekoden til seksjonen Hvordan løsner bolten lettest?"><span>rediger kilde</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File"><a href="/wiki/Fil:Torque.JPG" class="mw-file-description" title="Hvilken kraft vil løsne skruen lettest?"><img alt="Hvilken kraft vil løsne skruen lettest?" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/21/Torque.JPG/250px-Torque.JPG" decoding="async" width="250" height="163" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/21/Torque.JPG/375px-Torque.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/21/Torque.JPG/500px-Torque.JPG 2x" data-file-width="680" data-file-height="444" /></a><figcaption>Hvilken kraft vil løsne skruen lettest?</figcaption></figure> <p>Om man skal løsne en bolt som sitter godt fast som vist på bildet, hvor er det da mest hensiktsmessig å sette inn kraften? Definisjonen på dreiemoment er kraft ganger arm. For å løsne bolten er det da mest hensiktsmessig å sette inn kraften så langt fra rotasjonssenteret O som mulig. Altså vil det lønne seg å sette inn kraften i punktet B fremfor punket A. En kan si at dreiemomentet til kraften <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 F_{B}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{B}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5f5c7d31865e45d0cd2500f7aec23dd35e743613" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.974ex; height:2.509ex;" alt="{\displaystyle F_{B}}"></span> om punkt O er større enn dreiemomentet til kraften <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 F_{A}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{A}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dafcb50bfd139b3657b9ca92caa3cef2d195a163" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.959ex; height:2.509ex;" alt="{\displaystyle F_{A}}"></span> om punktet O. </p><p><a href="/wiki/Skrue" title="Skrue">Skruer</a>, <a href="/wiki/Mutter" title="Mutter">muttere</a> og <a href="/wiki/Bolt" title="Bolt">bolter</a> bør festes med et nærmere spesifisert moment for at delene ikke skal løsne ved vanlig belastning, og for at materialet ikke skal ødelegges av at delene strammes for hardt. En <a href="/wiki/Momentn%C3%B8kkel" title="Momentnøkkel">momentnøkkel</a> kan enten måle momentet som brukes i øyeblikket, eller den kan gi etter ved et angitt moment slik at monteringen skjer med riktig moment. </p> <div class="mw-heading mw-heading2"><h2 id="Dreiemoment_og_vinkelhastighet">Dreiemoment og vinkelhastighet</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dreiemoment&veaction=edit&section=5" title="Rediger avsnitt: Dreiemoment og vinkelhastighet" class="mw-editsection-visualeditor"><span>rediger</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Dreiemoment&action=edit&section=5" title="Rediger kildekoden til seksjonen Dreiemoment og vinkelhastighet"><span>rediger kilde</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>På motorer vil som regel dreiemomentet variere med <a href="/wiki/Omdreiningstall" title="Omdreiningstall">omdreiningstallet</a>, som eksempelvis kan måles i rotasjoner per minutt (r/min) eller radianer per sekund (rad/s). Elektriske motorer har mest dreiemoment ved null hastighet (0 r/min), men utfører da ikke noe <a href="/wiki/Arbeid_(fysikk)" title="Arbeid (fysikk)">arbeid</a>.<sup class="Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Hjelp:Trenger_referanse" title="Hjelp:Trenger referanse"><span title="Foregående påstand trenger referanse">trenger referanse</span></a></i>]</sup> Forbrenningsmotorer vil ofte ha maksimalt dreiemoment for et visst turtall i turtallsregisteret (f.eks. 2400 r/min), men dette er ofte på et annet turtall enn når forbrenningsmotoren avgir maksimal <a href="/wiki/Effekt" title="Effekt">effekt</a> (f.eks. 5000 r/min).<sup class="Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Hjelp:Trenger_referanse" title="Hjelp:Trenger referanse"><span title="Foregående påstand trenger referanse">trenger referanse</span></a></i>]</sup> </p><p><a href="/wiki/Steilemoment" title="Steilemoment">Steilemomentet</a> er det dreiemoment som produseres av en mekanisk enhet når rotasjonshastighet på utgangen er null. </p> <div class="mw-heading mw-heading2"><h2 id="Se_også"><span id="Se_ogs.C3.A5"></span>Se også</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Dreiemoment&veaction=edit&section=6" title="Rediger avsnitt: Se også" class="mw-editsection-visualeditor"><span>rediger</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Dreiemoment&action=edit&section=6" title="Rediger kildekoden til seksjonen Se også"><span>rediger kilde</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Vektstang" title="Vektstang">Vektstang</a></li> <li><a href="/w/index.php?title=Rotasjonsmekanikk&action=edit&redlink=1" class="new" title="Rotasjonsmekanikk (ikke skrevet ennå)">Rotasjonsmekanikk</a></li> <li><a href="/wiki/Vinkelakselerasjon" title="Vinkelakselerasjon">Vinkelakselerasjon</a></li> <li><a href="/wiki/Treghetsmoment" title="Treghetsmoment">Treghetsmoment</a></li> <li><a href="/wiki/Angul%C3%A6rt_moment" class="mw-redirect" title="Angulært moment">Angulært moment</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r23230704">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": 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