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Area Physics for electrotechnology / Mechanics

IEV ref113-03-49

Symbol
T
Ek

en
kinetic energy
energy associated with motion, defined for a particle in classical mechanics by T= 1 2 m v 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadsfacqGH9aqpom aalaaakeaajugqbiaaigdaaOqaaKqzafGaaGOmaaaakiaad2gacaaM c8Eefi0BVTgib5gDPfxDHbacfiGaa8NDamaaCaaaleqabaqcLbqaca aIYaaaaaaa@472C@ , where m is its mass and v is its speed

NOTE 1 The kinetic energy of a body is given by the integral T= 1 2 D v 2 dm MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaKqzGeGaamivaiabg2 da9SWaaSaaaeaajugabiaaigdaaSqaaKqzaeGaaGOmaaaakmaapeba baqefi0BVTgib5gDPfxDHbacfiqcLbsacaWF2bGcdaahaaWcbeqaaK qzadGaaGOmaaaaaSqaaKqzadGaaeiraaWcbeqcLbsacqGHRiI8aKqz aeGaaiizaKqzGeGaamyBaaaa@4D6E@ , where D is a domain containing the body. When the axis of rotation is through the centre of mass, T is also given by T= 1 2 m t v G 2 + 1 2 J ω 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaKqzGeGaamivaiabg2 da9SWaaSaaaOqaaKqzaeGaaGymaaGcbaqcLbqacaaIYaaaaKqzGeGa amyBaSWaaSbaaKqzaeqaaKqzadGaaeiDaaqcLbqabeaaruGqV92AGe KB0LwC1fgaiuGajugibiaa=zhammaaDaaajugibeaajugWaiaabEea aKqzGeqaaKqzadGaaGOmaaaajugibiabgUcaRSWaaSaaaOqaaKqzae GaaGymaaWcbaqcLbqacaaIYaaaaKqzGeGaamOsaiabeM8a3PWaaWba aSqabeaajugWaiaaikdaaaaaaa@5708@ , where mt is total mass, VG is speed of the centre of mass, J is moment of inertia relative to the axis of rotation, and ω is the magnitude of the angular velocity, and where vG, J, and ω can be time-dependent.

NOTE 2 In relativity, the dependence of the mass m on the speed v has to be considered.


fr
énergie cinétique, f
énergie associé au mouvement, définie pour une particule en mécanique classique par T= 1 2 m v 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadsfacqGH9aqpom aalaaakeaajugqbiaaigdaaOqaaKqzafGaaGOmaaaakiaad2gacaaM c8Eefi0BVTgib5gDPfxDHbacfiGaa8NDamaaCaaaleqabaqcLbqaca aIYaaaaaaa@472C@ , où m est la masse de la particule et v sa vitesse

NOTE 1 L'énergie cinétique d'un corps est donnée par l'intégrale T= 1 2 D v 2 dm MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaKqzGeGaamivaiabg2 da9SWaaSaaaeaajugabiaaigdaaSqaaKqzaeGaaGOmaaaakmaapeba baqefi0BVTgib5gDPfxDHbacfiqcLbsacaWF2bGcdaahaaWcbeqaaK qzadGaaGOmaaaaaSqaaKqzadGaaeiraaWcbeqcLbsacqGHRiI8aKqz aeGaaiizaKqzGeGaamyBaaaa@4D6E@ , où D est un domaine contenant le corps. Lorsque l’axe de rotation passe par le centre de masse, T est donnée aussi par T= 1 2 m t v G 2 + 1 2 J ω 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaKqzGeGaamivaiabg2 da9SWaaSaaaOqaaKqzaeGaaGymaaGcbaqcLbqacaaIYaaaaKqzGeGa amyBaSWaaSbaaKqzaeqaaKqzadGaaeiDaaqcLbqabeaaruGqV92AGe KB0LwC1fgaiuGajugibiaa=zhammaaDaaajugibeaajugWaiaabEea aKqzGeqaaKqzadGaaGOmaaaajugibiabgUcaRSWaaSaaaOqaaKqzae GaaGymaaWcbaqcLbqacaaIYaaaaKqzGeGaamOsaiabeM8a3PWaaWba aSqabeaajugWaiaaikdaaaaaaa@5708@ , où mt est la masse totale, VG est la vitesse du centre de masse, J est le moment d'inertie par rapport à l'axe de rotation et ω est la norme de la vitesse angulaire, et où vG, J et ω peuvent dépendre du temps.

NOTE 2 En relativité, il faut prendre en compte la variation de la masse m avec la vitesse v.


ar
طاقة كامنة

de
kinetische Energie, f

es
energia cinética

fi
liike-energia

it
energia cinetica

ja
運動エネルギー

pl
energia kinetyczna

pt
energia cinética

sv
kinetisk energi

zh
动能

Publication date: 2011-04
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