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Koppel (aandrijftechniek) - Wikipedia

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Beschikbaar in 6 talen" > <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-6" 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">6 talen</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Moment_s%C3%ADly" title="Moment síly – Tsjechisch" lang="cs" hreflang="cs" data-title="Moment síly" data-language-autonym="Čeština" data-language-local-name="Tsjechisch" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-en badge-Q70894304 mw-list-item" title=""><a href="https://en.wikipedia.org/wiki/Moment_of_force" title="Moment of force – Engels" lang="en" hreflang="en" data-title="Moment of force" data-language-autonym="English" data-language-local-name="Engels" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Momento_de_forza" title="Momento de forza – Galicisch" lang="gl" hreflang="gl" data-title="Momento de forza" data-language-autonym="Galego" data-language-local-name="Galicisch" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%8A%9B%E3%81%AE%E3%83%A2%E3%83%BC%E3%83%A1%E3%83%B3%E3%83%88" title="力のモーメント – Japans" lang="ja" hreflang="ja" data-title="力のモーメント" data-language-autonym="日本語" data-language-local-name="Japans" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Livar" title="Livar – Koerdisch" lang="ku" hreflang="ku" data-title="Livar" data-language-autonym="Kurdî" data-language-local-name="Koerdisch" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Moment_sily" title="Moment sily – Slowaaks" lang="sk" hreflang="sk" data-title="Moment sily" data-language-autonym="Slovenčina" data-language-local-name="Slowaaks" class="interlanguage-link-target"><span>Slovenčina</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/Q17232562#sitelinks-wikipedia" title="Taalkoppelingen bewerken" class="wbc-editpage">Koppelingen bewerken</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div 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data-event-name="pinnable-header.vector-page-tools.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">verbergen</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Meer opties" > <div class="vector-menu-heading"> Handelingen </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/Koppel_(aandrijftechniek)"><span>Lezen</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Koppel_(aandrijftechniek)&amp;veaction=edit" title="Deze pagina bewerken [v]" accesskey="v"><span>Bewerken</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a 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href="/w/index.php?title=Speciaal:Boek&amp;bookcmd=book_creator&amp;referer=Koppel+%28aandrijftechniek%29"><span>Boek aanmaken</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Speciaal:DownloadAsPdf&amp;page=Koppel_%28aandrijftechniek%29&amp;action=show-download-screen"><span>Downloaden als PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Koppel_(aandrijftechniek)&amp;printable=yes" title="Printvriendelijke versie van deze pagina [p]" accesskey="p"><span>Afdrukversie</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> In andere projecten </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q17232562" title="Koppeling naar item in verbonden gegevensrepository [g]" accesskey="g"><span>Wikidata-item</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Paginahulpmiddelen"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Uiterlijk"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Uiterlijk</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">verbergen</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Uit Wikipedia, de vrije encyclopedie</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="nl" dir="ltr"><figure typeof="mw:File/Thumb"><a href="/wiki/Bestand:Koppel1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/36/Koppel1.png/300px-Koppel1.png" decoding="async" width="300" height="204" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/36/Koppel1.png/450px-Koppel1.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/36/Koppel1.png/600px-Koppel1.png 2x" data-file-width="709" data-file-height="481" /></a><figcaption>Koppel <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 K=}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>K</mi> <mo>=</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle K=}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/295ee7cf2b42907155a8caccce2ec1996b7291da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.519ex; height:2.176ex;" alt="{\displaystyle K=}"></span> kracht <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_{k}\times }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msub> <mo>&#x00D7;<!-- × --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{k}\times }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/caa3bfe486dfbdbc455a1f3e1313a4123fd8b271" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.391ex; height:2.509ex;" alt="{\displaystyle F_{k}\times }"></span> lengte <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> werkt op een as. <br /> Het moment <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M=}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mo>=</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M=}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6a5897444f2fc12b87773bf24c2b4744789d5a8d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.896ex; height:2.176ex;" alt="{\displaystyle M=}"></span> kracht <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_{m}\times }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo>&#x00D7;<!-- × --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{m}\times }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d3f7622f82d28d6a48f335096c020e1539080cbd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.978ex; height:2.509ex;" alt="{\displaystyle F_{m}\times }"></span> lengte <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 L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/103168b86f781fe6e9a4a87b8ea1cebe0ad4ede8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.176ex;" alt="{\displaystyle L}"></span> werkt ook op een as, maar oefent daarbij tevens een dwarskracht <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_{d}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{d}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5984c180b42afaefecd3a8568953401af8c8889" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.587ex; height:2.509ex;" alt="{\displaystyle F_{d}}"></span> uit, die gelijk is aan <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_{m}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{m}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/afc15d41d3176d0fb9b4474762c53d49add76fbf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.17ex; height:2.509ex;" alt="{\displaystyle F_{m}}"></span>. <br /> Ter verduidelijking doet <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_{d}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{d}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5984c180b42afaefecd3a8568953401af8c8889" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.587ex; height:2.509ex;" alt="{\displaystyle F_{d}}"></span> hier de as buigen.</figcaption></figure> <p>Een <b>koppel</b> is een <a href="/wiki/Natuurkundige_grootheid" title="Natuurkundige grootheid">natuurkundige grootheid</a> die een <a href="/wiki/Lichaam_(natuurkunde)" title="Lichaam (natuurkunde)">voorwerp</a> doet draaien. Waar een <a href="/wiki/Kracht" title="Kracht">kracht</a> een voorwerp in de richting van de kracht in beweging brengt, heeft een koppel een rotatie-effect op een voorwerp rondom de as van het koppel. De term 'koppel' vindt zijn oorsprong in het effect van twee, een koppel, even grote maar tegengesteld gerichte krachten. De grootte van een koppel, ook koppelmoment genoemd, wordt uitgedrukt in de <a href="/wiki/SI-stelsel" title="SI-stelsel">SI-eenheid</a> voor koppel, de <a href="/wiki/Newtonmeter" title="Newtonmeter">newtonmeter</a> (Nm). De newtonmeter heeft dezelfde dimensie als de <a href="/wiki/Joule" title="Joule">joule</a>, de eenheid voor <a href="/wiki/Energie" title="Energie">energie</a>. </p><p>Er is sprake van een koppel als er meerdere krachten op een voorwerp worden uitgeoefend die op verschillende plaatsen op het voorwerp aangrijpen, zodat ze het voorwerp zouden kunnen laten draaien, maar de <a href="/wiki/Resultante" title="Resultante">resultante</a> gelijk is aan 0. De grootte van een koppel is gelijk aan de som van de momenten van de krachten, onafhankelijk van het gekozen referentiepunt. </p><p>Het verschil tussen een koppel en een <a href="/wiki/Moment_(mechanica)" title="Moment (mechanica)">moment</a> is dat het krachtenspel van een koppel zodanig symmetrisch is dat er geen netto dwarskracht overblijft. Indien het voorwerp vrij kan bewegen of zou kunnen bewegen, vindt er alleen een <a href="/wiki/Rotatie_(natuurkunde)" title="Rotatie (natuurkunde)">rotatie</a> en geen <a href="/wiki/Translatie_(natuurkunde)" title="Translatie (natuurkunde)">translatie</a> van het voorwerp plaats. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Vectorgrootheid">Vectorgrootheid</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koppel_(aandrijftechniek)&amp;veaction=edit&amp;section=1" title="Bewerk dit kopje: Vectorgrootheid" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koppel_(aandrijftechniek)&amp;action=edit&amp;section=1" title="De broncode bewerken van de sectie: Vectorgrootheid"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Een koppel heeft behalve een grootte tevens een <a href="/wiki/Richting" title="Richting">richting</a>, waarmee het een <a href="/wiki/Vector_(wiskunde)" title="Vector (wiskunde)">vectorgrootheid</a> is. Het verband tussen het koppel, de arm en de uitgeoefende <a href="/wiki/Kracht" title="Kracht">kracht</a> is als volgt: </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 {\vec {T}}={\vec {r}}\times {\vec {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x00D7;<!-- × --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {T}}={\vec {r}}\times {\vec {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/62677ebac9ae03c0f3071d50981ab4bb262ccbe6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.673ex; height:2.843ex;" alt="{\displaystyle {\vec {T}}={\vec {r}}\times {\vec {F}}}"></span></dd></dl> <p>Daarin is </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {T}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {T}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3357053e25be3943bc092c83ad09a76b8eb85a1f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.74ex; height:2.843ex;" alt="{\displaystyle {\vec {T}}}"></span> het koppel in [Nm]</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {r}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>r</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {r}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6aec3c9ce13b53e9e24c98e7cce4212627884c91" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.223ex; height:2.343ex;" alt="{\displaystyle {\vec {r}}}"></span> de arm in [m]</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {F}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>F</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {F}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ef40edff397a115ecdce7d3518001dfcc7f37d9e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.771ex; height:2.843ex;" alt="{\displaystyle {\vec {F}}}"></span> de kracht in [N]</li></ul> <p>Als een koppel wordt uitgeoefend op een lichaam, zal het <a href="/wiki/Impulsmoment" title="Impulsmoment">impulsmoment</a> veranderen volgens </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 {\vec {T}}={\frac {\mathrm {d} {\vec {L}}}{\mathrm {d} t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>L</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {T}}={\frac {\mathrm {d} {\vec {L}}}{\mathrm {d} t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8d3a098966c872a3e1ee52d0debf50df4a67d854" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.55ex; height:6.176ex;" alt="{\displaystyle {\vec {T}}={\frac {\mathrm {d} {\vec {L}}}{\mathrm {d} t}}}"></span></dd></dl> <p>Daarin is </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {L}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>L</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {L}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0c139fc28d6ca3873993892f44e7331e5ff18fd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.843ex;" alt="{\displaystyle {\vec {L}}}"></span> het impulsmoment in [kg·m<sup>2</sup>/s]</li> <li><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 t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> de <a href="/wiki/Tijd" title="Tijd">tijd</a> in [s]</li></ul> <p>Deze <a href="/wiki/Bewegingsvergelijking" title="Bewegingsvergelijking">bewegingsvergelijking</a> voor <a href="/wiki/Rotatie_(natuurkunde)" title="Rotatie (natuurkunde)">rotaties</a> heeft dezelfde vorm als de tweede <a href="/wiki/Wetten_van_Newton" title="Wetten van Newton">wet van Newton</a>. Er is echter een groot verschil in complexiteit tussen de formules voor de rotatie rond een as met een vaste richting, zoals bij de meeste draaiende machineonderdelen, en het algemene geval. </p> <div class="mw-heading mw-heading2"><h2 id="Verbrandingsmotoren">Verbrandingsmotoren</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koppel_(aandrijftechniek)&amp;veaction=edit&amp;section=2" title="Bewerk dit kopje: Verbrandingsmotoren" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koppel_(aandrijftechniek)&amp;action=edit&amp;section=2" title="De broncode bewerken van de sectie: Verbrandingsmotoren"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De kracht die door de <a href="/wiki/Verbranding" title="Verbranding">verbranding</a> op de <a href="/wiki/Zuiger" title="Zuiger">zuiger</a> wordt uitgeoefend en via de <a href="/wiki/Drijfstang" title="Drijfstang">drijfstang</a> naar de <a href="/wiki/Krukas" title="Krukas">krukas</a> wordt afgevoerd, veroorzaakt op de krukas een koppel. Het <a href="/wiki/Toerental" title="Toerental">toerental</a> waarbij de vulling van de cilinder maximaal is, is het toerental waarbij het grootste koppel van de motor wordt bereikt. Een maximale hoeveelheid lucht betekent een maximale hoeveelheid <a href="/wiki/Brandstof" title="Brandstof">brandstof</a>, dus maximale energie uit de verbranding. Het maximaal leverbare koppel is een kenmerk van de kracht van een motor. </p><p>De koppelkromme geeft het verloop van de vullingsgraad aan. </p><p>Als vuistregel voor benzinemotoren kan men gebruiken, dit geldt voor bijna alle oudere wegvoertuigen, nieuwere voertuigen kunnen hier sterk van afwijken: </p> <ul><li>vermogen: 9&#160;kW of 12&#160;pk per liter <a href="/wiki/Cilinderinhoud" title="Cilinderinhoud">cilinderinhoud</a> per 1000 toeren</li> <li>koppel: 85 Nm per liter motorinhoud</li></ul> <div class="mw-heading mw-heading2"><h2 id="Elektromagnetisme">Elektromagnetisme</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koppel_(aandrijftechniek)&amp;veaction=edit&amp;section=3" title="Bewerk dit kopje: Elektromagnetisme" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koppel_(aandrijftechniek)&amp;action=edit&amp;section=3" title="De broncode bewerken van de sectie: Elektromagnetisme"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Elektrische <a href="/wiki/Dipool" title="Dipool">dipool</a> in een <a href="/wiki/Elektrisch_veld" title="Elektrisch veld">elektrisch veld</a>: </p> <dl><dd>Zij <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {p}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {p}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/84fee53c81592db54e0fe6c6f9eba002bb1dc74b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.415ex; height:2.676ex;" alt="{\displaystyle {\vec {p}}}"></span> het elektrische <a href="/wiki/Dipoolmoment" title="Dipoolmoment">dipoolmoment</a> van een elektrische <a href="/wiki/Dipool" title="Dipool">dipool</a> in een <a href="/wiki/Elektrisch_veld" title="Elektrisch veld">elektrisch veld</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {E}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>E</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {E}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2bc18ae485a72f148e85ccbeff2b3dcdd4f5f3f7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.776ex; height:2.843ex;" alt="{\displaystyle {\vec {E}}}"></span>, dan geldt voor het koppel <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {\tau }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C4;<!-- τ --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {\tau }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9476c9325cf30de081340cd070b30c3bd93f311a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.333ex; height:2.343ex;" alt="{\displaystyle {\vec {\tau }}}"></span> uitgeoefend op deze dipool: <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 {\vec {\tau }}={\vec {p}}\times {\vec {E}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C4;<!-- τ --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>p</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x00D7;<!-- × --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>E</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {\tau }}={\vec {p}}\times {\vec {E}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee22abe99b787852b5f712981f9eed5e07fc13e8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.373ex; height:3.176ex;" alt="{\displaystyle {\vec {\tau }}={\vec {p}}\times {\vec {E}}}"></span></dd></dl></dd></dl> <p>Magnetische dipool in een <a href="/wiki/Magnetisch_veld" title="Magnetisch veld">magnetisch veld</a>: </p> <dl><dd>Zij <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {\mu }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03BC;<!-- μ --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {\mu }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ddeda8d3995d1518e6f2d38e812641f579126be4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.402ex; height:2.843ex;" alt="{\displaystyle {\vec {\mu }}}"></span> het magnetische dipoolmoment van een magnetische dipool in een <a href="/wiki/Magnetisch_veld" title="Magnetisch veld">magnetisch veld</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {B}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {B}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83ae7d80cab55b606de217162280b2279142bbb4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.843ex;" alt="{\displaystyle {\vec {B}}}"></span>, dan geldt voor het koppel <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {\tau }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C4;<!-- τ --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {\tau }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9476c9325cf30de081340cd070b30c3bd93f311a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.333ex; height:2.343ex;" alt="{\displaystyle {\vec {\tau }}}"></span> uitgeoefend op deze dipool: <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 {\vec {\tau }}={\vec {\mu }}\times {\vec {B}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03C4;<!-- τ --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03BC;<!-- μ --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mo>&#x00D7;<!-- × --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>B</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {\tau }}={\vec {\mu }}\times {\vec {B}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2304d54f5326f2a801c6d00b6f88ffa23ac63a3e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.438ex; height:3.343ex;" alt="{\displaystyle {\vec {\tau }}={\vec {\mu }}\times {\vec {B}}}"></span></dd></dl></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Elektromotoren">Elektromotoren</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Koppel_(aandrijftechniek)&amp;veaction=edit&amp;section=4" title="Bewerk dit kopje: Elektromotoren" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Koppel_(aandrijftechniek)&amp;action=edit&amp;section=4" title="De broncode bewerken van de sectie: Elektromotoren"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De kracht die door de uitgaande as van de elektromotor wordt uitgeoefend en via de uitgaande as wordt afgevoerd naar het aangedreven werktuig. </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 P=T\cdot \omega }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> <mi>T</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>&#x03C9;<!-- ω --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P=T\cdot \omega }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a36dbdc85077505dfc6a9fd385f310059f92e417" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.605ex; height:2.176ex;" alt="{\displaystyle P=T\cdot \omega }"></span></dd></dl> <p>Hierin is </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 P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span> het <a href="/wiki/Vermogen_(natuurkunde)" title="Vermogen (natuurkunde)">vermogen</a> in [watt]</dd></dl> <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 T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span> het koppel in [Nm]</dd></dl> <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 \omega ={\frac {2\pi n}{60}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C9;<!-- ω --></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>&#x03C0;<!-- π --></mi> <mi>n</mi> </mrow> <mn>60</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \omega ={\frac {2\pi n}{60}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/27942ce9b06f5e6876a744598a1679cbabd56c86" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.27ex; height:5.176ex;" alt="{\displaystyle \omega ={\frac {2\pi n}{60}}}"></span> de hoeksnelheid in [rad/s].</dd></dl> <p>met </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 n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span> het aantal omwentelingen per minuut, delen door 60 geeft omwentelingen per seconde</dd></dl> <p>Bij elektromotoren spreekt men ook van losbreekkoppel en kipkoppel. Het losbreekkoppel is het draaimoment dat op de as wordt uitgeoefend bij het inschakelen van de motor. Het kipkoppel is het hoogste draaimoment dat de elektromotor afgeeft tijdens het opstarten. Het losbreekkoppel ligt vaak rond de 80% van het nominale koppel en het kipkoppel ligt vaak rond de 200 tot 250% van het nominale draaimoment. </p> <div class="interProject wikibooks mw-list-item" style="display:none;"><a href="https://nl.wikibooks.org/wiki/Fysica/Rotatie_kinematica" class="extiw" title="b:Fysica/Rotatie kinematica">Wikibooks</a></div> <div class="interProjectTemplate interProject-groot toccolours" style="display:flex; gap:1em; align-items:center; clear:both; margin:1em 0 -0.5em 0;"> <div style="min-width:max-content;"><span class="noviewer noresize" typeof="mw:File"><a href="/wiki/Bestand:Wikibooks-logo.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikibooks-logo.svg/25px-Wikibooks-logo.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikibooks-logo.svg/38px-Wikibooks-logo.svg.png 1.5x, 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.navigatie-afb-rechts{right:2px}.mw-parser-output .navigatie-afb-groot{float:right;padding-left:0.5em}.mw-parser-output .navigatie-titel{background-color:#ddeef8;padding:2px 5.5em;font-weight:bold}.mw-parser-output .navigatie-inhoud{padding:0.5em}.mw-parser-output .navigatie-inhoud p:first-child{margin:0}.mw-parser-output .navigatie div[style*="background-color"],.mw-parser-output .navigatie div[style*="background"]{color:inherit}@media screen{html.skin-theme-clientpref-night .mw-parser-output .navigatie-titel{background-color:var(--background-color-interactive,#eaecf0)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navigatie-titel{background-color:var(--background-color-interactive,#eaecf0)!important}}</style> <div class="navigatie mw-collapsible mw-collapsed" role="navigation" aria-labelledby="Grootheden_en_eenheden_in_de_(klassieke)_mechanica" data-expandtext="Uitklappen" data-collapsetext="Inklappen"> <div class="navigatie-afb-links noviewer"><div class="navigatie-bewerken show-autoconfirmed nomobile"><span class="nowrap skin-invert-image"><span typeof="mw:File"><a href="/wiki/Sjabloon:Grootheden_(mechanica)" title="Sjabloon:Grootheden (mechanica)"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/16px-OOjs_UI_icon_article-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/24px-OOjs_UI_icon_article-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/32px-OOjs_UI_icon_article-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span> · <span typeof="mw:File"><a href="https://en.wikipedia.org/wiki/nl:Overleg_sjabloon:Grootheden_(mechanica)" title="Overleg sjabloon"><img alt="Overleg sjabloon" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/16px-OOjs_UI_icon_speechBubbles-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/24px-OOjs_UI_icon_speechBubbles-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/32px-OOjs_UI_icon_speechBubbles-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span> · <span typeof="mw:File"><a href="//nl.wikipedia.org/w/index.php?title=Sjabloon:Grootheden_(mechanica)&amp;action=edit" title="Sjabloon bewerken"><img alt="Sjabloon bewerken" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/16px-OOjs_UI_icon_edit-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/24px-OOjs_UI_icon_edit-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/32px-OOjs_UI_icon_edit-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></span></div></div> <div id="Grootheden_en_eenheden_in_de_(klassieke)_mechanica" class="navigatie-titel">Grootheden en eenheden in de (klassieke) mechanica</div> <div class="navigatie-inhoud mw-collapsible-content"> <table class="wikitable" style="text-align:center;line-height:0.9;border-collapse:collapse;margin:auto;border:none;background:none;"> <tbody><tr> <td colspan="5" style="border:none;backgound:none; font-weight:bold;">lineaire/translatie grootheden</td> <td rowspan="29" style="border:none;backgound:none;"></td> </tr> <tr> <th style="font-weight:normal;font-size:80%;">Wat meten tijdsintegralen?</th> <th style="font-weight:normal;">'nabijheid' ('nearness')</th> <th style="font-weight:normal;"></th> <th style="font-weight:normal;">'verheid' ('farness')</th> <th></th> </tr> <tr> <th style="font-weight:normal;font-size:80%;"><a href="/wiki/Dimensie_van_een_grootheid" title="Dimensie van een grootheid">Dimensie</a></th> <th style="font-weight:normal;">L<sup>−1</sup></th> <th style="font-weight:normal;">1</th> <th style="font-weight:normal;">L</th> <th style="font-weight:normal;">L<sup>2</sup></th> </tr> <tr> <th style="font-weight:normal;">T<sup>9</sup></th> <td><i>presrop</i> (Engels)<br />m<sup>−1</sup>·s<sup>9</sup></td> <td></td> <td><i>absrop</i> (Engels)<br />m·s<sup>9</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>8</sup></th> <td><i>presock</i> (Engels)<br />m<sup>−1</sup>·s<sup>8</sup></td> <td></td> <td><i>absock</i> (Engels)<br />m·s<sup>8</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>7</sup></th> <td><i>presop</i> (Engels)<br />m<sup>−1</sup>·s<sup>7</sup></td> <td></td> <td><i>absop</i> (Engels)<br />m·s<sup>7</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>6</sup></th> <td><i>presackle</i> (Engels)<br />m<sup>−1</sup>·s<sup>6</sup></td> <td></td> <td><i>absrackle</i> (Engels)<br />m·s<sup>6</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>5</sup></th> <td><i>presounce</i> (Engels)<br />m<sup>−1</sup>·s<sup>5</sup></td> <td></td> <td><i>absounce</i> (Engels)<br />m·s<sup>5</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>4</sup></th> <td><i>preserk</i> (Engels)<br />m<sup>−1</sup>·s<sup>4</sup></td> <td></td> <td><i>abserk</i> (Engels): <b>D</b><br />m·s<sup>4</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>3</sup></th> <td><i>preseleration</i> (Engels)<br />m<sup>−1</sup>·s<sup>3</sup></td> <td></td> <td><i>abseleration</i> (Engels): <b>C</b><br />m·s<sup>3</sup></td> <td></td> <td colspan="4" style="border:none;backgound:none; font-weight:bold;">hoek/rotatie grootheden</td> </tr> <tr> <th style="font-weight:normal;">T<sup>2</sup></th> <td><i>presity</i> (Engels)<br />m<sup>−1</sup>·s<sup>2</sup></td> <td></td> <td><i>absity</i> (Engels): <b>B</b><br />m·s<sup>2</sup></td> <td></td> <th style="font-weight:normal;font-size:80%;"><a href="/wiki/Dimensie_van_een_grootheid" title="Dimensie van een grootheid">Dimensie</a></th> <th style="font-weight:normal;">1</th> <th style="font-weight:normal;">geen (m·m<sup>−1</sup>)</th> <th style="font-weight:normal;">geen (m<sup>2</sup>·m<sup>−2</sup>)</th> </tr> <tr> <th style="font-weight:normal;">T</th> <td><i>presement</i> (Engels)<br />m<sup>−1</sup>·s</td> <td><a href="/wiki/Tijd" title="Tijd">tijd</a>: <i>t</i><br /><a href="/wiki/Seconde" title="Seconde">s</a></td> <td><i>absition/absement</i> (Engels): <b>A</b><br />m·s</td> <td></td> <th style="font-weight:normal;">T</th> <td><a href="/wiki/Tijd" title="Tijd">tijd</a>: <i>t</i><br /><a href="/wiki/Seconde" title="Seconde">s</a></td> <td></td> <td></td> </tr><tr> <th style="font-weight:normal;">1</th> <td><i>placement</i> (Engels)<br /><a href="/wiki/Golfgetal" title="Golfgetal">golfgetal</a><br />m<sup>−1</sup></td> <td></td> <td>afgelegde weg: <i>d</i><br /><span class="nowrap"><a href="/wiki/Plaatsvector" title="Plaatsvector">plaatsvector</a>: <b>r</b>, <b>s</b>, <b>x</b></span><br /><a href="/wiki/Afstand" title="Afstand">afstand</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32769037c408874e1890f77554c65f39c523ebe2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.936ex; height:2.176ex;" alt="{\displaystyle \Delta }"></span><b>s</b><br /><a href="/wiki/Meter" title="Meter">m</a></td> <td><a href="/wiki/Oppervlakte" title="Oppervlakte">oppervlakte</a>: <i>A</i><br /><a href="/wiki/Vierkante_meter" title="Vierkante meter">m<sup>2</sup></a></td> <th style="font-weight:normal;">1</th> <td></td> <td><a href="/wiki/Hoek_(meetkunde)" title="Hoek (meetkunde)">hoek</a>: <i>θ</i><br /><a href="/wiki/Radiaal_(wiskunde)" title="Radiaal (wiskunde)">rad</a></td> <td><span class="nowrap"><a href="/wiki/Ruimtehoek" title="Ruimtehoek">ruimtehoek</a>: <i>Ω</i><br /><a href="/wiki/Steradiaal" title="Steradiaal">rad<sup>2</sup>, sr</a></span></td> </tr> <tr> <th style="font-weight:normal;font-size:80%;">Wat meten tijdsafgeleiden?</th> <th style="font-weight:normal;"></th> <th style="font-weight:normal;"></th> <th style="font-weight:normal;">'rasheid' ('swiftness')</th> <th></th> </tr> <tr> <th style="font-weight:normal;">T<sup>−1</sup></th> <td></td> <td><span class="nowrap"><a href="/wiki/Frequentie" title="Frequentie">frequentie</a>: <i>f</i></span><br /><a href="/wiki/Hertz_(eenheid)" title="Hertz (eenheid)">s<sup>−1</sup>, Hz</a></td> <td><a href="/wiki/Snelheid" title="Snelheid">snelheid (scalar)</a>: <i>v</i><br /><a href="/wiki/Snelheid" title="Snelheid">snelheid (vector)</a>: <b>v</b><br /><a href="/wiki/Meter_per_seconde" title="Meter per seconde">m·s<sup>−1</sup></a></td> <td><a href="/wiki/Kinematische_viscositeit" class="mw-redirect" title="Kinematische viscositeit">kinematische&#160;viscositeit</a>:&#160;<span style="font-family:&#39;Times New Roman&#39;, &#39;Nimbus Roman No9 L&#39;, Times, serif; font-size:118%; white-space:nowrap;"><i>ν</i></span><br /><a href="/wiki/Diffusieco%C3%ABffici%C3%ABnt" class="mw-redirect" title="Diffusiecoëfficiënt">diffusiecoëfficiënt</a>: <i>D</i><br /><a href="/wiki/Tweelichamenprobleem#Specifieke_baanenergie_en_specifiek_impulsmoment" title="Tweelichamenprobleem">specifiek&#160;impulsmoment</a>:&#160;<i>h</i><br />m<sup>2</sup>·s<sup>−1</sup></td> <th style="font-weight:normal;">T<sup>−1</sup></th> <td><span class="nowrap"><a href="/wiki/Frequentie" title="Frequentie">frequentie</a>: <i>f</i></span><br /><a href="/wiki/Hertz_(eenheid)" title="Hertz (eenheid)">s<sup>−1</sup>, Hz</a></td> <td><a href="/wiki/Hoeksnelheid" title="Hoeksnelheid">hoeksnelheid</a>: <i>ω</i>, <b>ω</b><br /><a href="/wiki/Radialen_per_seconde" title="Radialen per seconde">rad·s<sup>−1</sup></a></td> <td></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−2</sup></th> <td></td> <td></td> <td><a href="/wiki/Versnelling_(natuurkunde)" title="Versnelling (natuurkunde)">versnelling</a>: <b>a</b><br />m·s<sup>−2</sup></td> <td><a href="/wiki/Verbrandingswarmte" title="Verbrandingswarmte">verbrandingswarmte</a><br /><a href="/wiki/Geabsorbeerde_dosis" title="Geabsorbeerde dosis">geabsorbeerde dosis</a>: D<br /><a href="/wiki/Radioactieve-dosisequivalent" title="Radioactieve-dosisequivalent">radioactieve-dosisequivalent</a><br />m<sup>2</sup>·s<sup>−2</sup>, <a href="/wiki/Joule" title="Joule">J</a>·kg<sup>−1</sup>, <a href="/wiki/Gray_(eenheid)" title="Gray (eenheid)">Gy</a>, <a href="/wiki/Sievert" title="Sievert">Sv</a></td> <th style="font-weight:normal;">T<sup>−2</sup></th> <td></td> <td><a href="/wiki/Hoekversnelling" title="Hoekversnelling">hoekversnelling</a>: <b>α</b><br />rad·s<sup>−2</sup></td> <td></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−3</sup></th> <td></td> <td></td> <td><a href="/wiki/Jerk_(natuurkunde)" class="mw-redirect" title="Jerk (natuurkunde)">ruk</a>: <b>j</b><br />m·s<sup>−3</sup></td> <td></td> <th style="font-weight:normal;">T<sup>−3</sup></th> <td></td> <td>hoekruk: <b>ζ</b><br />rad·s<sup>−3</sup></td> <td></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−4</sup></th> <td></td> <td></td> <td><i>jounce/snap</i> (Engels): <b>s</b> <br />m·s<sup>−4</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−5</sup></th> <td></td> <td></td> <td><i>crackle</i> (Engels): <b>c</b><br />m·s<sup>−5</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−6</sup></th> <td></td> <td></td> <td><i>pop</i> (Engels): <b>Po</b><br />m·s<sup>−6</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−7</sup></th> <td></td> <td></td> <td><i>lock</i> (Engels)<br />m·s<sup>−7</sup></td> </tr> <tr> <th style="font-weight:normal;">T<sup>−8</sup></th> <td></td> <td></td> <td><i>drop</i> (Engels)<br />m·s<sup>−8</sup></td> </tr> <tr> <td colspan="5" style="padding-top:0;"></td> <td colspan="4" style="padding-top:0;"></td> </tr> <tr><th style="font-weight:normal;">M</th> <td><a href="/wiki/Lineaire_dichtheid" title="Lineaire dichtheid">lineaire dichtheid</a>: <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 \mu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03BC;<!-- μ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd47b2a39f7a7856952afec1f1db72c67af6161" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.402ex; height:2.176ex;" alt="{\displaystyle \mu }"></span></i><br /><a href="/wiki/Kilogram" title="Kilogram">kg</a>·m<sup>−1</sup></td> <td><a href="/wiki/Massa_(natuurkunde)" title="Massa (natuurkunde)">massa</a>: <i>m</i><br /><a href="/wiki/Kilogram" title="Kilogram">kg</a></td> <td></td> <td></td> <th style="font-weight:normal;">ML<sup>2</sup></th> <td><a href="/wiki/Traagheidsmoment" title="Traagheidsmoment">massatraagheidsmoment</a>:&#160;<i>I</i><br />kg·m<sup>2</sup></td> <td></td> <td></td> </tr> <tr> <th style="font-weight:normal;font-size:80%;">Wat meten tijdsafgeleiden?</th> <th style="font-weight:normal;"></th> <th style="font-weight:normal;"></th> <th style="font-weight:normal;">'sterkheid' ('forceness')</th> <th></th> </tr> <tr> <th style="font-weight:normal;">MT<sup>−1</sup></th> <td><a href="/wiki/Viscositeit#Dynamische_viscositeit_(Pa·s)" title="Viscositeit">dynamische viscositeit</a>: <span style="font-family:&#39;Times New Roman&#39;, &#39;Nimbus Roman No9 L&#39;, Times, serif; font-size:118%; white-space:nowrap;"><i>η</i></span><br />kg·m<sup>−1</sup>·s<sup>−1</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·m<sup>−2</sup>·s, Pa·s</td> <td></td> <td><a href="/wiki/Impuls_(natuurkunde)" title="Impuls (natuurkunde)">impuls</a>: <b>p</b> (<i>momentum</i>),<br /><a href="/wiki/Stoot_(natuurkunde)" title="Stoot (natuurkunde)">stoot</a>: <b>J</b>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32769037c408874e1890f77554c65f39c523ebe2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.936ex; height:2.176ex;" alt="{\displaystyle \Delta }"></span><b>p</b> (<i>impulse</i>)<br />kg·m·s<sup>−1</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·s</td> <td><a href="/wiki/Actie_(natuurkunde)" title="Actie (natuurkunde)">actie</a>: <b>𝒮</b><br /><a href="/w/index.php?title=Actergie_(natuurkunde)&amp;action=edit&amp;redlink=1" class="new" title="Actergie (natuurkunde) (de pagina bestaat niet)">actergie</a>: <span style="font-family:&#39;Times New Roman&#39;, &#39;Nimbus Roman No9 L&#39;, Times, serif; font-size:118%; white-space:nowrap;"><i>ℵ</i></span><br />kg·m<sup>2</sup>·s<sup>−1</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·m·s, <a href="/wiki/Joule" title="Joule">J</a>·s</td> <th style="font-weight:normal;">ML<sup>2</sup>T<sup>−1</sup></th> <td></td> <td><a href="/wiki/Impulsmoment" title="Impulsmoment">impulsmoment</a> (<i>momentum angularis</i>): <b>L</b><br />kg·m<sup>2</sup>·s<sup>−1</sup></td> <td><a href="/wiki/Actie_(natuurkunde)" title="Actie (natuurkunde)">actie</a>: <b>𝒮</b><br /><a href="/w/index.php?title=Actergie_(natuurkunde)&amp;action=edit&amp;redlink=1" class="new" title="Actergie (natuurkunde) (de pagina bestaat niet)">actergie</a>: <span style="font-family:&#39;Times New Roman&#39;, &#39;Nimbus Roman No9 L&#39;, Times, serif; font-size:118%; white-space:nowrap;"><i>ℵ</i></span><br />kg·m<sup>2</sup>·s<sup>−1</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·m·s, <a href="/wiki/Joule" title="Joule">J</a>·s</td> </tr> <tr> <th style="font-weight:normal;">MT<sup>−2</sup></th> <td><a href="/wiki/Druk_(grootheid)" title="Druk (grootheid)">druk</a>: <i>p</i><br /><a href="/wiki/Mechanische_spanning" title="Mechanische spanning">mechanische&#160;spanning</a>:&#160;<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C3;<!-- σ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59f59b7c3e6fdb1d0365a494b81fb9a696138c36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle \sigma }"></span><br /><a href="/wiki/Energiedichtheid" title="Energiedichtheid">energiedichtheid</a>: U<br />kg·m<sup>−1</sup>·s<sup>−2</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·m<sup>−2</sup>, <a href="/wiki/Joule" title="Joule">J</a>·m<sup>−3</sup>, Pa</td> <td><a href="/wiki/Oppervlaktespanning" title="Oppervlaktespanning">oppervlaktespanning</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 \gamma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03B3;<!-- γ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \gamma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.262ex; height:2.176ex;" alt="{\displaystyle \gamma }"></span> of <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 \sigma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C3;<!-- σ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59f59b7c3e6fdb1d0365a494b81fb9a696138c36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle \sigma }"></span><br />kg·s<sup>−2</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·m<sup>−1</sup>, <a href="/wiki/Joule" title="Joule">J</a>·m<sup>−2</sup></td> <td><a href="/wiki/Kracht" title="Kracht">kracht</a>: <b>F</b><br /><a href="/wiki/Gewicht" title="Gewicht">gewicht</a>: <b>F</b><sub>g</sub><br />·kg·m·s<sup>−2</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a></td> <td><a href="/wiki/Energie" title="Energie">energie</a>: <i>E</i><br /><a href="/wiki/Arbeid_(natuurkunde)" title="Arbeid (natuurkunde)">arbeid</a>: <i>W</i><br /><a href="/wiki/Warmte" title="Warmte">warmte</a>: <i>Q</i><br />kg·m<sup>2</sup>·s<sup>−2</sup>, <a href="/wiki/Newtonmeter" title="Newtonmeter">Nm</a>, <a href="/wiki/Joule" title="Joule">J</a></td> <th style="font-weight:normal;">ML<sup>2</sup>T<sup>−2</sup></th> <td></td> <td><a href="/wiki/Krachtmoment" class="mw-redirect" title="Krachtmoment">krachtmoment</a> (<i>torque</i>): <b>M</b>, <b>τ</b><br />kg·m<sup>2</sup>·s<sup>−2</sup>, <a href="/wiki/Newtonmeter" title="Newtonmeter">Nm</a></td> <td><a href="/wiki/Energie" title="Energie">energie</a>: <i>E</i><br /><a href="/wiki/Arbeid_(natuurkunde)" title="Arbeid (natuurkunde)">arbeid</a>: <i>W</i><br /><a href="/wiki/Warmte" title="Warmte">warmte</a>: <i>Q</i><br />kg·m<sup>2</sup>·s<sup>−2</sup>, <a href="/wiki/Newtonmeter" title="Newtonmeter">Nm</a>, <a href="/wiki/Joule" title="Joule">J</a></td> </tr> <tr> <th style="font-weight:normal;">MT<sup>−3</sup></th> <td></td> <td></td> <td><i>yank</i> (Engels): <b>Y</b><br />kg·m·s<sup>−3</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·s<sup>−1</sup></td> <td><a href="/wiki/Vermogen_(natuurkunde)" title="Vermogen (natuurkunde)">vermogen</a>: <i>P</i><br />kg·m<sup>2</sup>·s<sup>−3</sup>,&#160;<a href="/wiki/Watt_(eenheid)" title="Watt (eenheid)">W</a></td> <th style="font-weight:normal;">ML<sup>2</sup>T<sup>−3</sup></th> <td></td> <td><i>rotatum</i>: <b>P</b><br />kg·m<sup>2</sup>·s<sup>−3</sup>, N·m·s<sup>−1</sup></td> <td><a href="/wiki/Vermogen_(natuurkunde)" title="Vermogen (natuurkunde)">vermogen</a>: <i>P</i><br />kg·m<sup>2 </sup>·s<sup>−3</sup>,&#160;<a href="/wiki/Watt_(eenheid)" title="Watt (eenheid)">W</a></td> </tr> <tr> <th style="font-weight:normal;">MT<sup>−4</sup></th> <td></td> <td></td> <td><i>tug</i> (Engels): <b>T</b><br />kg·m·s<sup>−4</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·s<sup>−2</sup></td> </tr> <tr><th style="font-weight:normal;">MT<sup>−5</sup></th> <td></td> <td></td> <td><i>snatch</i> (Engels): <b>S</b><br />kg·m·s<sup>−5</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·s<sup>−3</sup></td> </tr> <tr><th style="font-weight:normal;">MT<sup>−6</sup></th> <td></td> <td></td> <td><i>shake</i> (Engels): <b>Sh</b><br />kg·m·s<sup>−6</sup>, <a href="/wiki/Newton_(eenheid)" title="Newton (eenheid)">N</a>·s<sup>−4</sup></td> </tr> </tbody></table> </div></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r67837862"> <div class="navigatie" role="navigation" aria-labelledby="Elementaire_begrippen_in_de_mechanica"> <div class="navigatie-afb-links noviewer"><div class="navigatie-bewerken show-autoconfirmed nomobile"><span class="nowrap skin-invert-image"><span typeof="mw:File"><a href="/wiki/Sjabloon:Navigatie_mechanica" title="Sjabloon:Navigatie mechanica"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/16px-OOjs_UI_icon_article-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/24px-OOjs_UI_icon_article-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c4/OOjs_UI_icon_article-ltr.svg/32px-OOjs_UI_icon_article-ltr.svg.png 2x" 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src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/16px-OOjs_UI_icon_edit-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/24px-OOjs_UI_icon_edit-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/32px-OOjs_UI_icon_edit-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></span></div></div> <div id="Elementaire_begrippen_in_de_mechanica" class="navigatie-titel">Elementaire begrippen in de mechanica</div> <div class="navigatie-inhoud"> <style data-mw-deduplicate="TemplateStyles:r67785531">.mw-parser-output .navigatie-tabel{margin:0 auto 0 auto;text-align:left}.mw-parser-output .navigatie-tabel .links{text-align:right}.mw-parser-output .navigatie-tabel .rechts{padding-left:0.5em}@media screen and (max-width:640px){.mw-parser-output .navigatie-tabel tr{display:grid;grid-template-columns:1fr;width:100%;margin-bottom:0.5em}.mw-parser-output .navigatie-tabel tr:last-of-type{margin-bottom:0}.mw-parser-output .navigatie-tabel .links{text-align:unset}.mw-parser-output .navigatie-tabel .rechts{padding:unset}}</style><table class="navigatie-tabel vatop" cellpadding="0" cellspacing="0" style=""><tbody><tr><td class="links" style=""><span class="nowrap"><b>Lineaire grootheid:</b></span></td><td class="rechts"><a href="/wiki/Snelheid" title="Snelheid">(bewegings)snelheid</a> · <a href="/wiki/Versnelling_(natuurkunde)" title="Versnelling (natuurkunde)">versnelling</a> · <a href="/wiki/Ruk_(natuurkunde)" title="Ruk (natuurkunde)">ruk</a> | <a href="/wiki/Massa_(natuurkunde)" title="Massa (natuurkunde)">massa</a> | <a href="/wiki/Impuls_(natuurkunde)" title="Impuls (natuurkunde)">impuls</a> · <a href="/wiki/Stoot_(natuurkunde)" title="Stoot (natuurkunde)">stoot</a> · <a href="/wiki/Kracht_(hoofdbetekenis)" class="mw-redirect" title="Kracht (hoofdbetekenis)">kracht</a></td></tr><tr><td class="links"><b>Rotatiegrootheid:</b></td><td class="rechts"><a href="/wiki/Hoeksnelheid" title="Hoeksnelheid">hoeksnelheid</a> · <a href="/wiki/Hoekversnelling" title="Hoekversnelling">hoekversnelling</a> | <a href="/wiki/Traagheidsmoment" title="Traagheidsmoment">traagheidsmoment</a> | <a href="/wiki/Impulsmoment" title="Impulsmoment">impulsmoment</a> · <a href="/wiki/Moment_(mechanica)" title="Moment (mechanica)">krachtmoment</a></td></tr><tr><td class="links"><b>Overig:</b></td><td class="rechts"><a href="/wiki/Eenparige_beweging" title="Eenparige beweging">eenparige beweging</a> · <a href="/wiki/Eenparig_versnelde_beweging" title="Eenparig versnelde beweging">eenparig versnelde beweging</a> · <a href="/wiki/Beweging_(natuurkunde)" title="Beweging (natuurkunde)">verplaatsing</a> · <a href="/wiki/Rotatie_(natuurkunde)" title="Rotatie (natuurkunde)">rotatie</a> · <a href="/wiki/Koppel_(natuurkunde)" title="Koppel (natuurkunde)">koppel (natuurkunde)</a> · <a class="mw-selflink selflink">koppel (aandrijftechniek)</a> · <a href="/wiki/Moment_en_koppel" title="Moment en koppel">moment en koppel</a> · <a href="/wiki/Gewicht" title="Gewicht">gewicht</a></td></tr></tbody></table> </div></div> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐5476bd94cd‐6lplk Cached time: 20241111084259 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.123 seconds Real time usage: 0.488 seconds Preprocessor visited node count: 804/1000000 Post‐expand include size: 36504/2097152 bytes Template argument size: 14783/2097152 bytes Highest expansion depth: 10/100 Expensive parser function count: 2/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 4643/5000000 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 68.219 1 -total 49.75% 33.942 1 Sjabloon:Grootheden_(mechanica) 41.67% 28.426 1 Sjabloon:Navigatie_uitklapbaar 40.97% 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