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IEVref:113-03-49ID:
Language:enStatus: Standard
Term: kinetic energy
Synonym1:
Synonym2:
Synonym3:
Symbol: T
Ek
Definition: 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.


Publication date:2011-04
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Internal notes:2017-06-02: Cleanup - Remove Attached Image 113-03-49en.gif
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