Momen inersia - Wikipedia Bahasa Melayu, ensiklopedia bebas

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href="https://ms-m-wikipedia-org.translate.goog/wiki/Momen_inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#p-lang" data-mw="interface" data-event-name="menu.languages" title="Bahasa" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet language-selector"> <span class="minerva-icon minerva-icon--language"></span> <span>Bahasa</span> </a></li> <li id="page-actions-watch" class="page-actions-menu__list-item"><a role="button" id="ca-watch" href="https://ms-m-wikipedia-org.translate.goog/w/index.php?title=Khas:Log_masuk&returnto=Momen+inersia&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-event-name="menu.watch" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet menu__item--page-actions-watch"> <span class="minerva-icon minerva-icon--star"></span> <span>Pantau</span> </a></li> <li id="page-actions-edit" class="page-actions-menu__list-item"><a role="button" id="ca-edit" href="https://ms-m-wikipedia-org.translate.goog/w/index.php?title=Momen_inersia&action=edit&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-event-name="menu.edit" data-mw="interface" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet edit-page menu__item--page-actions-edit"> <span class="minerva-icon minerva-icon--edit"></span> <span>Sunting</span> </a></li> </ul> </nav> <div id="mw-content-subtitle"></div> </div> <div id="bodyContent" class="content"> <div id="mw-content-text" class="mw-body-content"> <script>function mfTempOpenSection(id){var block=document.getElementById("mf-section-"+id);block.className+=" open-block";block.previousSibling.className+=" open-block";}</script> <div class="mw-content-ltr mw-parser-output" lang="ms" dir="ltr"> <section class="mf-section-0" id="mf-section-0"> <p><b>Momen Inersia</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 I\,}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> I </mi> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle I\,} </annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/988f6ada07675268dc7164f44f469dbec6e00b8a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.559ex; height:2.176ex;" alt="{\displaystyle I\,}"></span> atau <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 J\,}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> J </mi> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle J\,} </annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/74cf25dd030038def6817d413bfcf9250294f7c8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.858ex; height:2.176ex;" alt="{\displaystyle J\,}"></span>, juga dikenali sebagai <b>jisim sudut</b> ialah keupayaan sesuatu objek menentang <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Pecutan_sudut?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Pecutan sudut">Pecutan sudutnya</a>, dalam erti kata lain, analog putaran bagi jisim. Ia adalah kuantiti <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Skalar?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-disambig" title="Skalar">skalar</a>.</p> <p>Momen inersia memainkan peranan yang sama dalam <a href="https://ms-m-wikipedia-org.translate.goog/w/index.php?title=Gerakan_putaran&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Gerakan putaran (laman tidak wujud)">dinamik putaran</a> memandangkan jisim memainkan peranan dana dinamik asas, menentukan hubungan antara <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Momentum_sudut?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Momentum sudut">momentum sudut</a> dan <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Halaju_sudut?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Halaju sudut">halaju sudut</a>, <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Tork?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Tork">tork</a> dan <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Pecutan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Pecutan">pecutan</a> sudut, dan beberapa kuantiti lain.</p> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"> <input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none"> <div class="toctitle" lang="ms" dir="ltr"> <h2 id="mw-toc-heading">Isi kandungan</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span> </div> <ul> <li class="toclevel-1 tocsection-1"><a href="https://ms-m-wikipedia-org.translate.goog/wiki/Momen_inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Unit"><span class="tocnumber">1</span> <span class="toctext">Unit</span></a></li> <li class="toclevel-1 tocsection-2"><a href="https://ms-m-wikipedia-org.translate.goog/wiki/Momen_inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Skalar_momen_inersia"><span class="tocnumber">2</span> <span class="toctext">Skalar momen inersia</span></a> <ul> <li class="toclevel-2 tocsection-3"><a href="https://ms-m-wikipedia-org.translate.goog/wiki/Momen_inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Takrifan"><span class="tocnumber">2.1</span> <span class="toctext">Takrifan</span></a></li> <li class="toclevel-2 tocsection-4"><a href="https://ms-m-wikipedia-org.translate.goog/wiki/Momen_inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Persamaan_melibatkan_momen_inersia"><span class="tocnumber">2.2</span> <span class="toctext">Persamaan melibatkan momen inersia</span></a></li> </ul></li> <li class="toclevel-1 tocsection-5"><a href="https://ms-m-wikipedia-org.translate.goog/wiki/Momen_inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Lihat_Juga"><span class="tocnumber">3</span> <span class="toctext">Lihat Juga</span></a></li> </ul> </div> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(1)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Unit">Unit</h2><span class="mw-editsection"> <a role="button" href="https://ms-m-wikipedia-org.translate.goog/w/index.php?title=Momen_inersia&action=edit&section=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sunting bahagian: Unit" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>sunting</span> </a> </span> </div> <section class="mf-section-1 collapsible-block" id="mf-section-1"> <p>Unit <a href="https://ms-m-wikipedia-org.translate.goog/wiki/SI?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="SI">SI</a> bagi momen inersia ialah <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Kilogram?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kilogram">kilogram</a>-<a href="https://ms-m-wikipedia-org.translate.goog/wiki/Meter?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Meter">meter</a> persegi <b>kgm²</b>.</p> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(2)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Skalar_momen_inersia">Skalar momen inersia</h2><span class="mw-editsection"> <a role="button" href="https://ms-m-wikipedia-org.translate.goog/w/index.php?title=Momen_inersia&action=edit&section=2&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sunting bahagian: Skalar momen inersia" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>sunting</span> </a> </span> </div> <section class="mf-section-2 collapsible-block" id="mf-section-2"> <div class="mw-heading mw-heading3"> <h3 id="Takrifan">Takrifan</h3><span class="mw-editsection"> <a role="button" href="https://ms-m-wikipedia-org.translate.goog/w/index.php?title=Momen_inersia&action=edit&section=3&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sunting bahagian: Takrifan" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>sunting</span> </a> </span> </div> <p>(Skalar) momen inersia bagi jisim titik yang berputar pada paksi yang diketahui ditakrifkan sebagai</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 I\ {\stackrel {\mathrm {def} }{=}}\ mr^{2}\,\!}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> I </mi> <mtext>   </mtext> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-REL"> <mover> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <mo> = </mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> <mi mathvariant="normal"> e </mi> <mi mathvariant="normal"> f </mi> </mrow> </mrow> </mover> </mrow> </mrow> <mtext>   </mtext> <mi> m </mi> <msup> <mi> r </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> <mspace width="thinmathspace"></mspace> <mspace width="negativethinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle I\ {\stackrel {\mathrm {def} }{=}}\ mr^{2}\,\!} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/61b66ef44c7ae91a775258782f01855c343debb8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.387ex; width:9.119ex; height:3.343ex;" alt="{\displaystyle I\ {\stackrel {\mathrm {def} }{=}}\ mr^{2}\,\!}"> </noscript><span class="lazy-image-placeholder" style="width: 9.119ex;height: 3.343ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/61b66ef44c7ae91a775258782f01855c343debb8" data-alt="{\displaystyle I\ {\stackrel {\mathrm {def} }{=}}\ mr^{2}\,\!}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>iaitu</p> <dl> <dd> <i>m</i> ialah jisim, </dd> <dd> <i>r</i> is jarak (berserenjang) dari jisim titik ke paksi putaran. </dd> </dl> <p>Momen inersia adalah hasil campuran. Maka, bagi satu jasad tegar yang mengandungi <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> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5e3890c981ae85503089652feb48b191b57aae3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.064ex; height:2.176ex;" alt="{\displaystyle N}"> </noscript><span class="lazy-image-placeholder" style="width: 2.064ex;height: 2.176ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5e3890c981ae85503089652feb48b191b57aae3" data-alt="{\displaystyle N}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> jisim titik <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_{i}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi> m </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle m_{i}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/95ec8e804f69706d3f5ad235f4f983220c8df7c2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.84ex; height:2.009ex;" alt="{\displaystyle m_{i}}"> </noscript><span class="lazy-image-placeholder" style="width: 2.84ex;height: 2.009ex;vertical-align: -0.671ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/95ec8e804f69706d3f5ad235f4f983220c8df7c2" data-alt="{\displaystyle m_{i}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> dengan jarak <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 r_{i}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi> r </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle r_{i}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0b6d651eaf432dbf1f106021c8bb499ae83fd1f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.848ex; height:2.009ex;" alt="{\displaystyle r_{i}}"> </noscript><span class="lazy-image-placeholder" style="width: 1.848ex;height: 2.009ex;vertical-align: -0.671ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0b6d651eaf432dbf1f106021c8bb499ae83fd1f" data-alt="{\displaystyle r_{i}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> ke paksi putaran, jumlah momen inersia adalah bersamaan jumlah momen inersia bagi jisim titik:</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 I\ {\stackrel {\mathrm {def} }{=}}\ \sum _{i=1}^{N}{m_{i}r_{i}^{2}}\,\!}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> I </mi> <mtext>   </mtext> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-REL"> <mover> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <mo> = </mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> <mi mathvariant="normal"> e </mi> <mi mathvariant="normal"> f </mi> </mrow> </mrow> </mover> </mrow> </mrow> <mtext>   </mtext> <munderover> <mo> ∑ </mo> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi> N </mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi> m </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> </msub> <msubsup> <mi> r </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msubsup> </mrow> <mspace width="thinmathspace"></mspace> <mspace width="negativethinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle I\ {\stackrel {\mathrm {def} }{=}}\ \sum _{i=1}^{N}{m_{i}r_{i}^{2}}\,\!} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c74f382526b23db1c57c3e3af3ce700a1da2e7da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; margin-right: -0.387ex; width:14.048ex; height:7.343ex;" alt="{\displaystyle I\ {\stackrel {\mathrm {def} }{=}}\ \sum _{i=1}^{N}{m_{i}r_{i}^{2}}\,\!}"> </noscript><span class="lazy-image-placeholder" style="width: 14.048ex;height: 7.343ex;vertical-align: -3.005ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c74f382526b23db1c57c3e3af3ce700a1da2e7da" data-alt="{\displaystyle I\ {\stackrel {\mathrm {def} }{=}}\ \sum _{i=1}^{N}{m_{i}r_{i}^{2}}\,\!}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>Bagi jasad pejal yang ditakifkan sebagai fungsi ketumpatan jisim selanjar ρ(<i>x</i>,<i>y</i>,<i>z</i>), momen inersia pada paksi yang diketahui boleh diketahui dengan <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Pengamiran?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Pengamiran">mengamirkan</a> kuasa dua bagi jarak (yang diberatkan dengan ketumpatan jisim) dari titik dalam jasad ke paksi putaran:</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 I\ {\stackrel {\mathrm {def} }{=}}\ \iiint _{V}r^{2}\,\rho (x,y,z)\,dx\,dy\,dz\!}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> I </mi> <mtext>   </mtext> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-REL"> <mover> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <mo> = </mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal"> d </mi> <mi mathvariant="normal"> e </mi> <mi mathvariant="normal"> f </mi> </mrow> </mrow> </mover> </mrow> </mrow> <mtext>   </mtext> <msub> <mo> ∭ </mo> <mrow class="MJX-TeXAtom-ORD"> <mi> V </mi> </mrow> </msub> <msup> <mi> r </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> <mspace width="thinmathspace"></mspace> <mi> ρ </mi> <mo stretchy="false"> ( </mo> <mi> x </mi> <mo> , </mo> <mi> y </mi> <mo> , </mo> <mi> z </mi> <mo stretchy="false"> ) </mo> <mspace width="thinmathspace"></mspace> <mi> d </mi> <mi> x </mi> <mspace width="thinmathspace"></mspace> <mi> d </mi> <mi> y </mi> <mspace width="thinmathspace"></mspace> <mi> d </mi> <mi> z </mi> <mspace width="negativethinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle I\ {\stackrel {\mathrm {def} }{=}}\ \iiint _{V}r^{2}\,\rho (x,y,z)\,dx\,dy\,dz\!} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/67bdbb4469e05aff4a5c37ec1fb2977727de7e62" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; margin-right: -0.387ex; width:30.082ex; height:5.676ex;" alt="{\displaystyle I\ {\stackrel {\mathrm {def} }{=}}\ \iiint _{V}r^{2}\,\rho (x,y,z)\,dx\,dy\,dz\!}"> </noscript><span class="lazy-image-placeholder" style="width: 30.082ex;height: 5.676ex;vertical-align: -2.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/67bdbb4469e05aff4a5c37ec1fb2977727de7e62" data-alt="{\displaystyle I\ {\stackrel {\mathrm {def} }{=}}\ \iiint _{V}r^{2}\,\rho (x,y,z)\,dx\,dy\,dz\!}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>iaitu</p> <dl> <dd> V ialah isi padu yang diisi objek. (Manakala kamiran tigaan mungkin boleh digunakan bagi semua ruang, hanya kawasan ρ(<i>x</i>,<i>y</i>,<i>z</i>) ≠ 0 yang menyumbang). </dd> <dd> ρ ialah fungsi <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Ketumpatan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Ketumpatan">ketumpatan</a> ruang bagi objek, dan </dd> <dd> <i>x</i>, <i>y</i>, <i>z</i> adalah koordinat cartesian bagi satu titik dalam jasad. </dd> </dl> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"> <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Fail:Moment_of_inertia_disc.png?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/c/c2/Moment_of_inertia_disc.png" decoding="async" width="164" height="84" class="mw-file-element" data-file-width="164" data-file-height="84"> </noscript><span class="lazy-image-placeholder" style="width: 164px;height: 84px;" data-src="//upload.wikimedia.org/wikipedia/commons/c/c2/Moment_of_inertia_disc.png" data-width="164" data-height="84" data-class="mw-file-element"> </span></a> <figcaption> Rajah bagi pengiraan momen inersia bagi cakera. Di sini, <i>k</i> adalah 1/2 dan <i>r</i> adalah jejari yang digunakan untuk menentukan momen. </figcaption> </figure> <p>Momen inersia bagi banyak objek bukan titik juga boleh ditakrifkan atau dianggarkan sebagai hasil darab tiga sebutan:</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 I\approx k\cdot M\cdot {R}^{2}\,\!}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> I </mi> <mo> ≈ </mo> <mi> k </mi> <mo> ⋅ </mo> <mi> M </mi> <mo> ⋅ </mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi> R </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> <mspace width="thinmathspace"></mspace> <mspace width="negativethinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle I\approx k\cdot M\cdot {R}^{2}\,\!} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c02c5d3ea78f05a2a630a66742aea5d0389c8665" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.387ex; width:14.487ex; height:2.676ex;" alt="{\displaystyle I\approx k\cdot M\cdot {R}^{2}\,\!}"> </noscript><span class="lazy-image-placeholder" style="width: 14.487ex;height: 2.676ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c02c5d3ea78f05a2a630a66742aea5d0389c8665" data-alt="{\displaystyle I\approx k\cdot M\cdot {R}^{2}\,\!}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>iaitu</p> <dl> <dd> <i>k</i> ialah pemalar inersia, </dd> <dd> <i>M</i> ialah jisim, dan </dd> <dd> <i>R</i> ialah jejari objek dari pusat jisim (dalam sesetengah kes, panjang objek digunakan.) </dd> </dl> <p>Pemalar inersia digunakan untuk mengambil kira perbezaan dalam kedudukan jisim dari pusat putaran. Contoh termasuklah:</p> <ul> <li><i>k</i> = 1, cincin nipis atau silinder berdinding nipis sekitar pusatnya,</li> <li><i>k</i> = 2/5, sfera padu sekitar pusatnya,</li> <li><i>k</i> = 1/2, silinder padu atau cakera sekitar pusatnya.</li> </ul> <p>Untuk contoh lain, sila lihat <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Senarai_momen_inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Senarai momen inersia">Senarai momen inersia</a>.</p> <div class="mw-heading mw-heading3"> <h3 id="Persamaan_melibatkan_momen_inersia">Persamaan melibatkan momen inersia</h3><span class="mw-editsection"> <a role="button" href="https://ms-m-wikipedia-org.translate.goog/w/index.php?title=Momen_inersia&action=edit&section=4&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sunting bahagian: Persamaan melibatkan momen inersia" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>sunting</span> </a> </span> </div> <p><a href="https://ms-m-wikipedia-org.translate.goog/wiki/Tenaga_kinetik?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Tenaga kinetik">Tenaga kinetik</a> putaran bagi sesuatu sistem boleh ditakrifkan sebagai sebutan momen inersia. Bagi sistem dengan <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> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5e3890c981ae85503089652feb48b191b57aae3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.064ex; height:2.176ex;" alt="{\displaystyle N}"> </noscript><span class="lazy-image-placeholder" style="width: 2.064ex;height: 2.176ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5e3890c981ae85503089652feb48b191b57aae3" data-alt="{\displaystyle N}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> jisim titik <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_{i}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi> m </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle m_{i}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/95ec8e804f69706d3f5ad235f4f983220c8df7c2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.84ex; height:2.009ex;" alt="{\displaystyle m_{i}}"> </noscript><span class="lazy-image-placeholder" style="width: 2.84ex;height: 2.009ex;vertical-align: -0.671ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/95ec8e804f69706d3f5ad235f4f983220c8df7c2" data-alt="{\displaystyle m_{i}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> yang bergerak dengan kelajuan <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 v_{i}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi> v </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle v_{i}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7dffe5726650f6daac54829972a94f38eb8ec127" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.927ex; height:2.009ex;" alt="{\displaystyle v_{i}}"> </noscript><span class="lazy-image-placeholder" style="width: 1.927ex;height: 2.009ex;vertical-align: -0.671ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7dffe5726650f6daac54829972a94f38eb8ec127" data-alt="{\displaystyle v_{i}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span>, tenaga kinetik puataran <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> <noscript> <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}"> </noscript><span class="lazy-image-placeholder" style="width: 1.636ex;height: 2.176ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" data-alt="{\displaystyle T}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> bersamaan dengan</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 T=\sum _{i=1}^{N}{\frac {1}{2}}m_{i}v_{i}^{2}\,\!=\sum _{i=1}^{N}{\frac {1}{2}}m_{i}(\omega r_{i})^{2}={\frac {1}{2}}\sum _{i=1}^{N}m_{i}r_{i}^{2}\omega ^{2}={\frac {1}{2}}I\omega ^{2}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> T </mi> <mo> = </mo> <munderover> <mo> ∑ </mo> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi> N </mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> </mrow> <msub> <mi> m </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> </msub> <msubsup> <mi> v </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msubsup> <mspace width="thinmathspace"></mspace> <mspace width="negativethinmathspace"></mspace> <mo> = </mo> <munderover> <mo> ∑ </mo> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi> N </mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> </mrow> <msub> <mi> m </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> </msub> <mo stretchy="false"> ( </mo> <mi> ω </mi> <msub> <mi> r </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> </msub> <msup> <mo stretchy="false"> ) </mo> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> <mo> = </mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> </mrow> <munderover> <mo> ∑ </mo> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi> N </mi> </mrow> </munderover> <msub> <mi> m </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> </msub> <msubsup> <mi> r </mi> <mrow class="MJX-TeXAtom-ORD"> <mi> i </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msubsup> <msup> <mi> ω </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> <mo> = </mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> </mrow> <mi> I </mi> <msup> <mi> ω </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle T=\sum _{i=1}^{N}{\frac {1}{2}}m_{i}v_{i}^{2}\,\!=\sum _{i=1}^{N}{\frac {1}{2}}m_{i}(\omega r_{i})^{2}={\frac {1}{2}}\sum _{i=1}^{N}m_{i}r_{i}^{2}\omega ^{2}={\frac {1}{2}}I\omega ^{2}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d3ed345ca7dd78fb0ceb38df44e51dcb1136188" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:58.772ex; height:7.343ex;" alt="{\displaystyle T=\sum _{i=1}^{N}{\frac {1}{2}}m_{i}v_{i}^{2}\,\!=\sum _{i=1}^{N}{\frac {1}{2}}m_{i}(\omega r_{i})^{2}={\frac {1}{2}}\sum _{i=1}^{N}m_{i}r_{i}^{2}\omega ^{2}={\frac {1}{2}}I\omega ^{2}}"> </noscript><span class="lazy-image-placeholder" style="width: 58.772ex;height: 7.343ex;vertical-align: -3.005ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d3ed345ca7dd78fb0ceb38df44e51dcb1136188" data-alt="{\displaystyle T=\sum _{i=1}^{N}{\frac {1}{2}}m_{i}v_{i}^{2}\,\!=\sum _{i=1}^{N}{\frac {1}{2}}m_{i}(\omega r_{i})^{2}={\frac {1}{2}}\sum _{i=1}^{N}m_{i}r_{i}^{2}\omega ^{2}={\frac {1}{2}}I\omega ^{2}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>iaitu <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> <noscript> <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 }"> </noscript><span class="lazy-image-placeholder" style="width: 1.446ex;height: 1.676ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48eff443f9de7a985bb94ca3bde20813ea737be8" data-alt="{\displaystyle \omega }" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> adalah halaju sudut (dalam <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Radian?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Radian">radian</a> per saat). Rumus akhir <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={\frac {1}{2}}I\omega ^{2}\,\!}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> T </mi> <mo> = </mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> </mrow> <mi> I </mi> <msup> <mi> ω </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> <mspace width="thinmathspace"></mspace> <mspace width="negativethinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle T={\frac {1}{2}}I\omega ^{2}\,\!} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e94a82a485c3b92a20c8536ae42aa175cd3df329" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; margin-right: -0.387ex; width:10.792ex; height:5.176ex;" alt="{\displaystyle T={\frac {1}{2}}I\omega ^{2}\,\!}"> </noscript><span class="lazy-image-placeholder" style="width: 10.792ex;height: 5.176ex;vertical-align: -1.838ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e94a82a485c3b92a20c8536ae42aa175cd3df329" data-alt="{\displaystyle T={\frac {1}{2}}I\omega ^{2}\,\!}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> juga berguna untuk sebaran selanjar bagi jisim dengan pemerihalan umum bagi terbitan di atas dari jumlah diskret kepada <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Kamiran?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Kamiran">pengkamiran</a>.</p> <p>Dalam kes khas iaitu <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Vektor?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Vektor">vektor</a> <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Momentum_sudut?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Momentum sudut">momentum sudut</a> selari dengan vektor <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Halaju_sudut?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Halaju sudut">halaju sudut</a>, maka boleh dikaitkan dengan persamaan</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 L=I\omega \;}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> L </mi> <mo> = </mo> <mi> I </mi> <mi> ω </mi> <mspace width="thickmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle L=I\omega \;} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0abe84fbb3384116f7540d20d58b76ab5a748a04" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.944ex; height:2.176ex;" alt="{\displaystyle L=I\omega \;}"> </noscript><span class="lazy-image-placeholder" style="width: 7.944ex;height: 2.176ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0abe84fbb3384116f7540d20d58b76ab5a748a04" data-alt="{\displaystyle L=I\omega \;}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>iaitu <i>L</i> adalah momentum sudut dan <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> <noscript> <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 }"> </noscript><span class="lazy-image-placeholder" style="width: 1.446ex;height: 1.676ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48eff443f9de7a985bb94ca3bde20813ea737be8" data-alt="{\displaystyle \omega }" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> adalah halaju sudut. Walau bagaimanapun, persamaan ini tidak digunakan untuk kebanyakan kes, seperti <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Liukan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Liukan">liukan</a> bebas tork bagi objek berputar, walaupun bentuk tensor amnya selalunya betul.</p> <p>Apabila momen inersia adalah malar, kita boleh kaitkan <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Tork?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Tork">tork</a> bagi sesuatu objek itu dengan <a href="https://ms-m-wikipedia-org.translate.goog/wiki/Pecutan?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Pecutan">pecutan</a> sudut dalam persamaan yang serupa:</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=I\alpha \!}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> N </mi> <mo> = </mo> <mi> I </mi> <mi> α </mi> <mspace width="negativethinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle N=I\alpha \!} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07905ab2cd6ccba56e8df2f4f44d53b140b3b246" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.301ex; width:7.736ex; height:2.176ex;" alt="{\displaystyle N=I\alpha \!}"> </noscript><span class="lazy-image-placeholder" style="width: 7.736ex;height: 2.176ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07905ab2cd6ccba56e8df2f4f44d53b140b3b246" data-alt="{\displaystyle N=I\alpha \!}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </dd> </dl> <p>iaitu <i>N</i> adalah tork dan <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 \alpha }"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> α </mi> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle \alpha } </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }"> </noscript><span class="lazy-image-placeholder" style="width: 1.488ex;height: 1.676ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" data-alt="{\displaystyle \alpha }" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> adalah pecutan sudut.</p> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(3)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Lihat_Juga">Lihat Juga</h2><span class="mw-editsection"> <a role="button" href="https://ms-m-wikipedia-org.translate.goog/w/index.php?title=Momen_inersia&action=edit&section=5&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sunting bahagian: Lihat Juga" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>sunting</span> </a> </span> </div> <section class="mf-section-3 collapsible-block" id="mf-section-3"> <ul> <li><a href="https://ms-m-wikipedia-org.translate.goog/wiki/Senarai_momen_inersia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Senarai momen inersia">Senarai Momen Inersia Untuk Beberapa Objek</a></li> <li><a href="https://ms-m-wikipedia-org.translate.goog/wiki/Kinematik_angular?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Kinematik angular">Kinematik Sudut</a></li> </ul>   </section> </div> <noscript> <img src="https://login.m.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&mobile=1" alt="" width="1" height="1" style="border: none; position: absolute;"> </noscript> <div class="printfooter" data-nosnippet=""> Diambil daripada "<a dir="ltr" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ms.wikipedia.org/w/index.php?title%3DMomen_inersia%26oldid%3D3724579">https://ms.wikipedia.org/w/index.php?title=Momen_inersia&oldid=3724579</a>" </div> </div> </div> <div class="post-content" id="page-secondary-actions"> </div> </main> <footer class="mw-footer minerva-footer" role="contentinfo"><a class="last-modified-bar" href="https://ms-m-wikipedia-org.translate.goog/w/index.php?title=Momen_inersia&action=history&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"> <div class="post-content last-modified-bar__content"><span class="minerva-icon minerva-icon-size-medium minerva-icon--modified-history"></span> <span class="last-modified-bar__text modified-enhancement" data-user-name="Kururubot" data-user-gender="unknown" data-timestamp="1447690064"> <span>Kali terakhir disunting pada 16 November 2015, 16:07</span> </span> <span class="minerva-icon minerva-icon-size-small minerva-icon--expand"></span> </div></a> <div class="post-content footer-content"> <div id="mw-data-after-content"> <div class="read-more-container"></div> </div> <div id="p-lang"> <h4>Bahasa</h4> <section> <ul id="p-variants" class="minerva-languages"></ul> <ul class="minerva-languages"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://af.wikipedia.org/wiki/Traagheidsmoment" title="Traagheidsmoment – Afrikaans" lang="af" hreflang="af" data-title="Traagheidsmoment" 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://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ar.wikipedia.org/wiki/%25D8%25B9%25D8%25B2%25D9%2585_%25D8%25A7%25D9%2584%25D9%2582%25D8%25B5%25D9%2588%25D8%25B1_%25D8%25A7%25D9%2584%25D8%25B0%25D8%25A7%25D8%25AA%25D9%258A" title="عزم القصور الذاتي – Arab" lang="ar" hreflang="ar" data-title="عزم القصور الذاتي" data-language-autonym="العربية" data-language-local-name="Arab" class="interlanguage-link-target"><span>العربية</span></a></li> <li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ast.wikipedia.org/wiki/Momentu_d%2527inercia" title="Momentu d'inercia – Asturia" lang="ast" hreflang="ast" data-title="Momentu d'inercia" data-language-autonym="Asturianu" data-language-local-name="Asturia" class="interlanguage-link-target"><span>Asturianu</span></a></li> <li class="interlanguage-link interwiki-id mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://id.wikipedia.org/wiki/Momen_inersia" title="Momen inersia – Indonesia" lang="id" hreflang="id" data-title="Momen inersia" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesia" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li> <li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bn.wikipedia.org/wiki/%25E0%25A6%259C%25E0%25A6%25A1%25E0%25A6%25BC%25E0%25A6%25A4%25E0%25A6%25BE%25E0%25A6%25B0_%25E0%25A6%25AD%25E0%25A7%258D%25E0%25A6%25B0%25E0%25A6%25BE%25E0%25A6%25AE%25E0%25A6%2595" title="জড়তার ভ্রামক – Benggali" lang="bn" hreflang="bn" data-title="জড়তার ভ্রামক" data-language-autonym="বাংলা" data-language-local-name="Benggali" class="interlanguage-link-target"><span>বাংলা</span></a></li> <li class="interlanguage-link interwiki-be mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://be.wikipedia.org/wiki/%25D0%259C%25D0%25BE%25D0%25BC%25D0%25B0%25D0%25BD%25D1%2582_%25D1%2596%25D0%25BD%25D0%25B5%25D1%2580%25D1%2586%25D1%258B%25D1%2596" title="Момант інерцыі – Belarus" lang="be" hreflang="be" data-title="Момант інерцыі" data-language-autonym="Беларуская" data-language-local-name="Belarus" class="interlanguage-link-target"><span>Беларуская</span></a></li> <li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://be-tarask.wikipedia.org/wiki/%25D0%259C%25D0%25BE%25D0%25BC%25D0%25B0%25D0%25BD%25D1%2582_%25D1%2596%25D0%25BD%25D1%258D%25D1%2580%25D1%2586%25D1%258B%25D1%2596" title="Момант інэрцыі – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Момант інэрцыі" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li> <li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bs.wikipedia.org/wiki/Moment_inercije" title="Moment inercije – Bosnia" lang="bs" hreflang="bs" data-title="Moment inercije" data-language-autonym="Bosanski" data-language-local-name="Bosnia" class="interlanguage-link-target"><span>Bosanski</span></a></li> <li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bg.wikipedia.org/wiki/%25D0%259C%25D0%25B0%25D1%2581%25D0%25BE%25D0%25B2_%25D0%25B8%25D0%25BD%25D0%25B5%25D1%2580%25D1%2586%25D0%25B8%25D0%25BE%25D0%25BD%25D0%25B5%25D0%25BD_%25D0%25BC%25D0%25BE%25D0%25BC%25D0%25B5%25D0%25BD%25D1%2582" title="Масов инерционен момент – Bulgaria" lang="bg" hreflang="bg" data-title="Масов инерционен момент" data-language-autonym="Български" data-language-local-name="Bulgaria" class="interlanguage-link-target"><span>Български</span></a></li> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ca.wikipedia.org/wiki/Moment_d%2527in%25C3%25A8rcia" title="Moment d'inèrcia – Catalonia" lang="ca" hreflang="ca" data-title="Moment d'inèrcia" data-language-autonym="Català" data-language-local-name="Catalonia" class="interlanguage-link-target"><span>Català</span></a></li> <li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://cv.wikipedia.org/wiki/%25D0%2598%25D0%25BD%25D0%25B5%25D1%2580%25D1%2586%25D0%25B8_%25D1%2581%25D0%25B0%25D0%25BC%25D0%25B0%25D0%25BD%25D1%2587%25C4%2595" title="Инерци саманчĕ – Chuvash" lang="cv" hreflang="cv" data-title="Инерци саманчĕ" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li> <li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://cs.wikipedia.org/wiki/Moment_setrva%25C4%258Dnosti" title="Moment setrvačnosti – Czech" lang="cs" hreflang="cs" data-title="Moment setrvačnosti" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li> <li class="interlanguage-link interwiki-da mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://da.wikipedia.org/wiki/Inertimoment" title="Inertimoment – Denmark" lang="da" hreflang="da" data-title="Inertimoment" data-language-autonym="Dansk" data-language-local-name="Denmark" class="interlanguage-link-target"><span>Dansk</span></a></li> <li class="interlanguage-link interwiki-de badge-Q17437798 badge-goodarticle mw-list-item" title="rencana baik"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://de.wikipedia.org/wiki/Tr%25C3%25A4gheitsmoment" title="Trägheitsmoment – Jerman" lang="de" hreflang="de" data-title="Trägheitsmoment" data-language-autonym="Deutsch" data-language-local-name="Jerman" class="interlanguage-link-target"><span>Deutsch</span></a></li> <li class="interlanguage-link interwiki-et mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://et.wikipedia.org/wiki/Inertsimoment" title="Inertsimoment – Estonia" lang="et" hreflang="et" data-title="Inertsimoment" data-language-autonym="Eesti" data-language-local-name="Estonia" class="interlanguage-link-target"><span>Eesti</span></a></li> <li class="interlanguage-link interwiki-el mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://el.wikipedia.org/wiki/%25CE%25A1%25CE%25BF%25CF%2580%25CE%25AE_%25CE%25B1%25CE%25B4%25CF%2581%25CE%25AC%25CE%25BD%25CE%25B5%25CE%25B9%25CE%25B1%25CF%2582" title="Ροπή αδράνειας – Greek" lang="el" hreflang="el" data-title="Ροπή αδράνειας" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://en.wikipedia.org/wiki/Moment_of_inertia" title="Moment of inertia – Inggeris" lang="en" hreflang="en" data-title="Moment of inertia" data-language-autonym="English" data-language-local-name="Inggeris" class="interlanguage-link-target"><span>English</span></a></li> <li class="interlanguage-link interwiki-es mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://es.wikipedia.org/wiki/Momento_de_inercia" title="Momento de inercia – Sepanyol" lang="es" hreflang="es" data-title="Momento de inercia" data-language-autonym="Español" data-language-local-name="Sepanyol" class="interlanguage-link-target"><span>Español</span></a></li> <li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://eo.wikipedia.org/wiki/Inercimomanto" title="Inercimomanto – Esperanto" lang="eo" hreflang="eo" data-title="Inercimomanto" 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://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://eu.wikipedia.org/wiki/Inertzia-momentu" title="Inertzia-momentu – Basque" lang="eu" hreflang="eu" data-title="Inertzia-momentu" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li> <li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fa.wikipedia.org/wiki/%25DA%25AF%25D8%25B4%25D8%25AA%25D8%25A7%25D9%2588%25D8%25B1_%25D9%2584%25D8%25AE%25D8%25AA%25DB%258C" title="گشتاور لختی – Parsi" lang="fa" hreflang="fa" data-title="گشتاور لختی" data-language-autonym="فارسی" data-language-local-name="Parsi" class="interlanguage-link-target"><span>فارسی</span></a></li> <li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fr.wikipedia.org/wiki/Moment_d%2527inertie" title="Moment d'inertie – Perancis" lang="fr" hreflang="fr" data-title="Moment d'inertie" data-language-autonym="Français" data-language-local-name="Perancis" class="interlanguage-link-target"><span>Français</span></a></li> <li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ga.wikipedia.org/wiki/M%25C3%25B3imint_na_t%25C3%25A1imhe" title="Móimint na táimhe – Ireland" lang="ga" hreflang="ga" data-title="Móimint na táimhe" data-language-autonym="Gaeilge" data-language-local-name="Ireland" class="interlanguage-link-target"><span>Gaeilge</span></a></li> <li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://gl.wikipedia.org/wiki/Momento_de_inercia" title="Momento de inercia – Galicia" lang="gl" hreflang="gl" data-title="Momento de inercia" data-language-autonym="Galego" data-language-local-name="Galicia" class="interlanguage-link-target"><span>Galego</span></a></li> <li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ko.wikipedia.org/wiki/%25EA%25B4%2580%25EC%2584%25B1_%25EB%25AA%25A8%25EB%25A9%2598%25ED%258A%25B8" title="관성 모멘트 – Korea" lang="ko" hreflang="ko" data-title="관성 모멘트" data-language-autonym="한국어" data-language-local-name="Korea" class="interlanguage-link-target"><span>한국어</span></a></li> <li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hy.wikipedia.org/wiki/%25D4%25BB%25D5%25B6%25D5%25A5%25D6%2580%25D6%2581%25D5%25AB%25D5%25A1%25D5%25B5%25D5%25AB_%25D5%25B4%25D5%25B8%25D5%25B4%25D5%25A5%25D5%25B6%25D5%25BF" title="Իներցիայի մոմենտ – Armenia" lang="hy" hreflang="hy" data-title="Իներցիայի մոմենտ" data-language-autonym="Հայերեն" data-language-local-name="Armenia" class="interlanguage-link-target"><span>Հայերեն</span></a></li> <li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hi.wikipedia.org/wiki/%25E0%25A4%259C%25E0%25A4%25A1%25E0%25A4%25BC%25E0%25A4%25A4%25E0%25A5%258D%25E0%25A4%25B5%25E0%25A4%25BE%25E0%25A4%2598%25E0%25A5%2582%25E0%25A4%25B0%25E0%25A5%258D%25E0%25A4%25A3" title="जड़त्वाघूर्ण – Hindi" lang="hi" hreflang="hi" data-title="जड़त्वाघूर्ण" 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://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hr.wikipedia.org/wiki/Moment_inercije" title="Moment inercije – Croatia" lang="hr" hreflang="hr" data-title="Moment inercije" data-language-autonym="Hrvatski" data-language-local-name="Croatia" class="interlanguage-link-target"><span>Hrvatski</span></a></li> <li class="interlanguage-link interwiki-is mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://is.wikipedia.org/wiki/Hverfitreg%25C3%25B0a" title="Hverfitregða – Iceland" lang="is" hreflang="is" data-title="Hverfitregða" data-language-autonym="Íslenska" data-language-local-name="Iceland" class="interlanguage-link-target"><span>Íslenska</span></a></li> <li class="interlanguage-link interwiki-it mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://it.wikipedia.org/wiki/Momento_di_inerzia" title="Momento di inerzia – Itali" lang="it" hreflang="it" data-title="Momento di inerzia" data-language-autonym="Italiano" data-language-local-name="Itali" class="interlanguage-link-target"><span>Italiano</span></a></li> <li class="interlanguage-link interwiki-he mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://he.wikipedia.org/wiki/%25D7%259E%25D7%2595%25D7%259E%25D7%25A0%25D7%2598_%25D7%2594%25D7%25AA%25D7%259E%25D7%2593" title="מומנט התמד – Ibrani" lang="he" hreflang="he" data-title="מומנט התמד" data-language-autonym="עברית" data-language-local-name="Ibrani" class="interlanguage-link-target"><span>עברית</span></a></li> <li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ka.wikipedia.org/wiki/%25E1%2583%2598%25E1%2583%259C%25E1%2583%2594%25E1%2583%25A0%25E1%2583%25AA%25E1%2583%2598%25E1%2583%2598%25E1%2583%25A1_%25E1%2583%259B%25E1%2583%259D%25E1%2583%259B%25E1%2583%2594%25E1%2583%259C%25E1%2583%25A2%25E1%2583%2598" title="ინერციის მომენტი – Georgia" lang="ka" hreflang="ka" data-title="ინერციის მომენტი" data-language-autonym="ქართული" data-language-local-name="Georgia" class="interlanguage-link-target"><span>ქართული</span></a></li> <li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://kk.wikipedia.org/wiki/%25D0%2598%25D0%25BD%25D0%25B5%25D1%2580%25D1%2586%25D0%25B8%25D1%258F_%25D0%25BC%25D0%25BE%25D0%25BC%25D0%25B5%25D0%25BD%25D1%2582%25D1%2596" title="Инерция моменті – Kazakhstan" lang="kk" hreflang="kk" data-title="Инерция моменті" data-language-autonym="Қазақша" data-language-local-name="Kazakhstan" class="interlanguage-link-target"><span>Қазақша</span></a></li> <li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ht.wikipedia.org/wiki/Moman_in%25C3%25A8si" title="Moman inèsi – Kreol Haiti" lang="ht" hreflang="ht" data-title="Moman inèsi" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Kreol Haiti" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li> <li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lv.wikipedia.org/wiki/Inerces_moments" title="Inerces moments – Latvia" lang="lv" hreflang="lv" data-title="Inerces moments" data-language-autonym="Latviešu" data-language-local-name="Latvia" class="interlanguage-link-target"><span>Latviešu</span></a></li> <li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lt.wikipedia.org/wiki/Inercijos_momentas" title="Inercijos momentas – Lithuania" lang="lt" hreflang="lt" data-title="Inercijos momentas" data-language-autonym="Lietuvių" data-language-local-name="Lithuania" class="interlanguage-link-target"><span>Lietuvių</span></a></li> <li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hu.wikipedia.org/wiki/Tehetetlens%25C3%25A9gi_nyomat%25C3%25A9k" title="Tehetetlenségi nyomaték – Hungary" lang="hu" hreflang="hu" data-title="Tehetetlenségi nyomaték" data-language-autonym="Magyar" data-language-local-name="Hungary" class="interlanguage-link-target"><span>Magyar</span></a></li> <li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://mk.wikipedia.org/wiki/%25D0%259C%25D0%25BE%25D0%25BC%25D0%25B5%25D0%25BD%25D1%2582_%25D0%25BD%25D0%25B0_%25D0%25B8%25D0%25BD%25D0%25B5%25D1%2580%25D1%2586%25D0%25B8%25D1%2598%25D0%25B0" title="Момент на инерција – Macedonia" lang="mk" hreflang="mk" data-title="Момент на инерција" data-language-autonym="Македонски" data-language-local-name="Macedonia" class="interlanguage-link-target"><span>Македонски</span></a></li> <li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ml.wikipedia.org/wiki/%25E0%25B4%259C%25E0%25B4%25A2%25E0%25B4%25A4%25E0%25B5%258D%25E0%25B4%25B5%25E0%25B4%25BE%25E0%25B4%2598%25E0%25B5%2582%25E0%25B5%25BC%25E0%25B4%25A3%25E0%25B4%2582" title="ജഢത്വാഘൂർണം – Malayalam" lang="ml" hreflang="ml" data-title="ജഢത്വാഘൂർണം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li> <li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://nl.wikipedia.org/wiki/Traagheidsmoment" title="Traagheidsmoment – Belanda" lang="nl" hreflang="nl" data-title="Traagheidsmoment" data-language-autonym="Nederlands" data-language-local-name="Belanda" class="interlanguage-link-target"><span>Nederlands</span></a></li> <li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ja.wikipedia.org/wiki/%25E6%2585%25A3%25E6%2580%25A7%25E3%2583%25A2%25E3%2583%25BC%25E3%2583%25A1%25E3%2583%25B3%25E3%2583%2588" title="慣性モーメント – Jepun" lang="ja" hreflang="ja" data-title="慣性モーメント" data-language-autonym="日本語" data-language-local-name="Jepun" class="interlanguage-link-target"><span>日本語</span></a></li> <li class="interlanguage-link interwiki-no mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://no.wikipedia.org/wiki/Treghetsmoment" title="Treghetsmoment – Bokmal Norway" lang="nb" hreflang="nb" data-title="Treghetsmoment" data-language-autonym="Norsk bokmål" data-language-local-name="Bokmal Norway" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li> <li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://nn.wikipedia.org/wiki/Tregleiksmoment" title="Tregleiksmoment – Nynorsk Norway" lang="nn" hreflang="nn" data-title="Tregleiksmoment" data-language-autonym="Norsk nynorsk" data-language-local-name="Nynorsk Norway" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li> <li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://uz.wikipedia.org/wiki/Inersiya_momenti" title="Inersiya momenti – Uzbekistan" lang="uz" hreflang="uz" data-title="Inersiya momenti" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbekistan" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li> <li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pl.wikipedia.org/wiki/Moment_bezw%25C5%2582adno%25C5%259Bci" title="Moment bezwładności – Poland" lang="pl" hreflang="pl" data-title="Moment bezwładności" data-language-autonym="Polski" data-language-local-name="Poland" class="interlanguage-link-target"><span>Polski</span></a></li> <li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pt.wikipedia.org/wiki/Momento_de_in%25C3%25A9rcia" title="Momento de inércia – Portugis" lang="pt" hreflang="pt" data-title="Momento de inércia" data-language-autonym="Português" data-language-local-name="Portugis" class="interlanguage-link-target"><span>Português</span></a></li> <li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ro.wikipedia.org/wiki/Moment_de_iner%25C8%259Bie" title="Moment de inerție – Romania" lang="ro" hreflang="ro" data-title="Moment de inerție" data-language-autonym="Română" data-language-local-name="Romania" class="interlanguage-link-target"><span>Română</span></a></li> <li class="interlanguage-link interwiki-ru badge-Q17559452 badge-recommendedarticle mw-list-item" title="recommended article"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ru.wikipedia.org/wiki/%25D0%259C%25D0%25BE%25D0%25BC%25D0%25B5%25D0%25BD%25D1%2582_%25D0%25B8%25D0%25BD%25D0%25B5%25D1%2580%25D1%2586%25D0%25B8%25D0%25B8" title="Момент инерции – Rusia" lang="ru" hreflang="ru" data-title="Момент инерции" data-language-autonym="Русский" data-language-local-name="Rusia" class="interlanguage-link-target"><span>Русский</span></a></li> <li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sq.wikipedia.org/wiki/Momenti_i_Inercis%25C3%25AB" title="Momenti i Inercisë – Albania" lang="sq" hreflang="sq" data-title="Momenti i Inercisë" data-language-autonym="Shqip" data-language-local-name="Albania" class="interlanguage-link-target"><span>Shqip</span></a></li> <li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://simple.wikipedia.org/wiki/Moment_of_inertia" title="Moment of inertia – Simple English" lang="en-simple" hreflang="en-simple" data-title="Moment of inertia" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li> <li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sk.wikipedia.org/wiki/Moment_zotrva%25C4%258Dnosti" title="Moment zotrvačnosti – Slovak" lang="sk" hreflang="sk" data-title="Moment zotrvačnosti" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li> <li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sl.wikipedia.org/wiki/Vztrajnostni_moment" title="Vztrajnostni moment – Slovenia" lang="sl" hreflang="sl" data-title="Vztrajnostni moment" data-language-autonym="Slovenščina" data-language-local-name="Slovenia" class="interlanguage-link-target"><span>Slovenščina</span></a></li> <li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sr.wikipedia.org/wiki/%25D0%259C%25D0%25BE%25D0%25BC%25D0%25B5%25D0%25BD%25D1%2582_%25D0%25B8%25D0%25BD%25D0%25B5%25D1%2580%25D1%2586%25D0%25B8%25D1%2598%25D0%25B5" title="Момент инерције – Serbia" lang="sr" hreflang="sr" data-title="Момент инерције" data-language-autonym="Српски / srpski" data-language-local-name="Serbia" class="interlanguage-link-target"><span>Српски / srpski</span></a></li> <li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sh.wikipedia.org/wiki/Moment_inercije" title="Moment inercije – SerboCroatia" lang="sh" hreflang="sh" data-title="Moment inercije" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="SerboCroatia" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li> <li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fi.wikipedia.org/wiki/Hitausmomentti" title="Hitausmomentti – Finland" lang="fi" hreflang="fi" data-title="Hitausmomentti" data-language-autonym="Suomi" data-language-local-name="Finland" class="interlanguage-link-target"><span>Suomi</span></a></li> <li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sv.wikipedia.org/wiki/Tr%25C3%25B6ghetsmoment" title="Tröghetsmoment – Sweden" lang="sv" hreflang="sv" data-title="Tröghetsmoment" data-language-autonym="Svenska" data-language-local-name="Sweden" class="interlanguage-link-target"><span>Svenska</span></a></li> <li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ta.wikipedia.org/wiki/%25E0%25AE%25A8%25E0%25AE%25BF%25E0%25AE%25B2%25E0%25AF%2588%25E0%25AE%25AE%25E0%25AE%25A4%25E0%25AF%258D_%25E0%25AE%25A4%25E0%25AE%25BF%25E0%25AE%25B0%25E0%25AF%2581%25E0%25AE%25AA%25E0%25AF%258D%25E0%25AE%25AA%25E0%25AF%2581%25E0%25AE%25A4%25E0%25AF%258D%25E0%25AE%25A4%25E0%25AE%25BF%25E0%25AE%25B1%25E0%25AE%25A9%25E0%25AF%258D" title="நிலைமத் திருப்புத்திறன் – Tamil" lang="ta" hreflang="ta" data-title="நிலைமத் திருப்புத்திறன்" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li> <li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://tt.wikipedia.org/wiki/%25C4%25B0nertsi%25C3%25A4_moment%25C4%25B1" title="İnertsiä momentı – Tatar" lang="tt" hreflang="tt" data-title="İnertsiä momentı" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li> <li class="interlanguage-link interwiki-th mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://th.wikipedia.org/wiki/%25E0%25B9%2582%25E0%25B8%25A1%25E0%25B9%2580%25E0%25B8%25A1%25E0%25B8%2599%25E0%25B8%2595%25E0%25B9%258C%25E0%25B8%2584%25E0%25B8%25A7%25E0%25B8%25B2%25E0%25B8%25A1%25E0%25B9%2580%25E0%25B8%2589%25E0%25B8%25B7%25E0%25B9%2588%25E0%25B8%25AD%25E0%25B8%25A2" title="โมเมนต์ความเฉื่อย – Thai" lang="th" hreflang="th" data-title="โมเมนต์ความเฉื่อย" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li> <li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://vi.wikipedia.org/wiki/M%25C3%25B4_men_qu%25C3%25A1n_t%25C3%25ADnh" title="Mô men quán tính – Vietnam" lang="vi" hreflang="vi" data-title="Mô men quán tính" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnam" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li> <li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://tg.wikipedia.org/wiki/%25D0%259C%25D0%25BE%25D0%25BC%25D0%25B5%25D0%25BD%25D1%2582%25D0%25B8_%25D0%25B8%25D0%25BD%25D0%25B5%25D1%2580%25D1%2581%25D0%25B8%25D1%258F" title="Моменти инерсия – Tajik" lang="tg" hreflang="tg" data-title="Моменти инерсия" data-language-autonym="Тоҷикӣ" data-language-local-name="Tajik" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li> <li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://tr.wikipedia.org/wiki/Eylemsizlik_momenti" title="Eylemsizlik momenti – Turki" lang="tr" hreflang="tr" data-title="Eylemsizlik momenti" data-language-autonym="Türkçe" data-language-local-name="Turki" class="interlanguage-link-target"><span>Türkçe</span></a></li> <li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://uk.wikipedia.org/wiki/%25D0%259C%25D0%25BE%25D0%25BC%25D0%25B5%25D0%25BD%25D1%2582_%25D1%2596%25D0%25BD%25D0%25B5%25D1%2580%25D1%2586%25D1%2596%25D1%2597" title="Момент інерції – Ukraine" lang="uk" hreflang="uk" data-title="Момент інерції" data-language-autonym="Українська" data-language-local-name="Ukraine" class="interlanguage-link-target"><span>Українська</span></a></li> <li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ur.wikipedia.org/wiki/%25D8%25AC%25D9%2585%25D9%2588%25D8%25AF_%25DA%25A9%25D8%25A7_%25D9%2585%25D8%25B9%25DB%258C%25D8%25A7%25D8%25B1_%25D8%25A7%25D8%25AB%25D8%25B1" title="جمود کا معیار اثر – Urdu" lang="ur" hreflang="ur" data-title="جمود کا معیار اثر" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li> <li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://wuu.wikipedia.org/wiki/%25E8%25BD%25AC%25E5%258A%25A8%25E6%2583%25AF%25E9%2587%258F" title="转动惯量 – Cina Wu" lang="wuu" hreflang="wuu" data-title="转动惯量" data-language-autonym="吴语" data-language-local-name="Cina Wu" class="interlanguage-link-target"><span>吴语</span></a></li> <li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zh-yue.wikipedia.org/wiki/%25E6%2585%25A3%25E6%2580%25A7%25E7%259F%25A9" title="慣性矩 – Kantonis" lang="yue" hreflang="yue" data-title="慣性矩" data-language-autonym="粵語" data-language-local-name="Kantonis" class="interlanguage-link-target"><span>粵語</span></a></li> <li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zh.wikipedia.org/wiki/%25E8%25BD%2589%25E5%258B%2595%25E6%2585%25A3%25E9%2587%258F" title="轉動慣量 – Cina" lang="zh" hreflang="zh" data-title="轉動慣量" data-language-autonym="中文" data-language-local-name="Cina" class="interlanguage-link-target"><span>中文</span></a></li> </ul> </section> </div> <div class="minerva-footer-logo"> <img src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" alt="Wikipedia" width="120" height="18" style="width: 7.5em; height: 1.125em;"> </div> <ul id="footer-info" class="footer-info hlist hlist-separated"> <li id="footer-info-lastmod">Laman ini kali terakhir disunting pada 16:07, 16 November 2015.</li> <li id="footer-info-copyright">Kandungan disediakan dengan <a class="external" rel="nofollow" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://creativecommons.org/licenses/by-sa/4.0/deed.ms">CC BY-SA 4.0</a> kecuali jika dinyatakan sebaliknya.</li> </ul> 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Momen inersia - Wikipedia Bahasa Melayu, ensiklopedia bebas