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Area Physics for electrotechnology / Relativistic physics for electrotechnology

IEV ref 113-07-56

Symbol
T MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamivaaaa@347F@
E k MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamyramaaBaaaleaaca qGRbaabeaaaaa@358A@

en
relativistic 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 aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamivaiabg2da9maala aabaqcLbuacaaIXaaakeaajugqbiaaikdaaaGccaWGTbGaaGPaVhrb c92BRbsqUrxAXvxyaGqbciaa=zhadaahaaWcbeqaaKqzaeGaaGOmaa aaaaa@41ED@ , where m MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamyBaiaaykW7aaa@3623@ is mass and v MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaaGPaVhrbc92BRbsqUr xAXvxyaGqbciaa=zhaaaa@3ACB@ is speed;
  • in relativity theory, by T= m 0 c 0 2 (γ1) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamivaiabg2da9iaad2 gadaWgaaWcbaqcLbqacaaIWaaaleqaaOGaam4yamaaDaaaleaajuga biaaicdaaSqaaKqzaeGaaGOmaaaakiaacIcacaaHZoGaeyOeI0scLb uacaaIXaGccaGGPaaaaa@4055@ , where m 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamyBamaaBaaaleaaju gabiaaicdaaSqabaaaaa@35F8@ is rest mass and γ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaaq4Sdaaa@34E2@ is the Lorentz factor

Note 1 to entry: In classical mechanics, the kinetic energy of a body is given by the integral T= 1 2 D v 2 dm MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaWGubGaeyypa0 tcfa4aaSaaaSqaaKqzaeGaaGymaaWcbaqcLbqacaaIYaaaaOWaa8qe aeaaruGqV92AGeKB0LwC1fgaiuGajugibiaa=zhakmaaCaaaleqaba qcLbmacaaIYaaaaaWcbaqcLbmacaqGebaaleqajugibiabgUIiYdqc LbqacaGGKbqcLbsacaWGTbaaaa@48D5@ , where D MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaciiraaaa@3470@ is a domain containing the body. When the axis of rotation is through the centre of mass, T MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamivaaaa@347F@ is also given by T= 1 2 m t v G 2 + 1 2 J ω 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaWGubGaeyypa0 tcfa4aaSaaaOqaaKqzaeGaaGymaaGcbaqcLbqacaaIYaaaaKqzGeGa amyBaKqbaoaaBaaajugabeaajugWaiaabshaaKqzaeqabaqefi0BVT gib5gDPfxDHbacfiqcLbsacaWF2bWcdaqhaaqcLbsabaqcLbmacaqG hbaajugibeaajugWaiaaikdaaaqcLbsacqGHRaWkjuaGdaWcaaGcba qcLbqacaaIXaaaleaajugabiaaikdaaaqcLbsacaWGkbGaaqyYdOWa aWbaaSqabeaajugWaiaaikdaaaaaaa@52EE@ , where m t MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaWGTbqcfa4aaS baaKqzaeqaaKqzadGaaeiDaaqcLbqabeaaaaa@38D9@ is the total mass, v G MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqefi0BVTgib5gDPfxDHb acfiqcLbsacaWF2bGcdaWgaaqcLbsabaqcLbmacaqGhbaajugibeqa aaaa@3D10@ is the speed of the centre of mass, J MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaWGkbaaaa@3504@ is the moment of inertia relative to the axis of rotation, and ω MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaaHjpaaaa@3587@ is the magnitude of the angular velocity, and where v G MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqefi0BVTgib5gDPfxDHb acfiqcLbsacaWF2bGcdaWgaaqcLbsabaqcLbmacaqGhbaajugibeqa aaaa@3D10@ , J MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaWGkbaaaa@3504@ , and ω MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaaHjpaaaa@3587@ can be time-dependent.

Note 2 to entry: For low velocities in relativity theory, T= m 0 c 0 2 (1+ 1 2 β 2 + 3 8 β 4 +1) 1 2 m 0 v 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamivaiabg2da9iaad2 gadaWgaaWcbaqcLbmacaaIWaaaleqaaOGaam4yamaaDaaaleaajugW aiaaicdaaSqaaKqzadGaaGOmaaaakiaacIcajugabiaaigdakiabgU caRKqbaoaalaaakeaajugabiaaigdaaOqaaKqzaeGaaGOmaaaakiaa ek7ajuaGdaahaaqcLbqabeWcbaqcLbmacaaIYaaaaKqzaeGaey4kaS scfa4aaSaaaKqzaeqaaiaaiodaaeaacaaI4aaaaOGaaqOSdKqbaoaa CaaajugabeqaleaacaaI0aaaaKqzaeGaey4kaSIaeS47IWKaeyOeI0 IaaGymaiaacMcacqGHijYUjuaGdaWcaaqcLbqabaGaaGymaaqaaiaa ikdaaaGccaWGTbWaaSbaaSqaaKqzadGaaGimaaWcbeaaruGqV92AGe KB0LwC1fgaiuGakiaa=zhadaahaaWcbeqaaKqzadGaaGOmaaaaaaa@6367@ , where β MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaaqOSdaaa@34E1@ is the normalized speed.

Note 3 to entry: The coherent SI unit of relativistic kinetic energy is joule, J.


fr
énergie cinétique relativiste, f
énergie associée au mouvement, définie pour une particule,
  • en mécanique classique, par T= 1 2 m v 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamivaiabg2da9maala aabaqcLbuacaaIXaaakeaajugqbiaaikdaaaGccaWGTbGaaGPaVhrb c92BRbsqUrxAXvxyaGqbciaa=zhadaahaaWcbeqaaKqzaeGaaGOmaa aaaaa@41ED@ , où m MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamyBaiaaykW7aaa@3623@ est la masse et v MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaaGPaVhrbc92BRbsqUr xAXvxyaGqbciaa=zhaaaa@3ACB@ est la vitesse;
  • en relativité, par T= m 0 c 0 2 (γ1) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamivaiabg2da9iaad2 gadaWgaaWcbaqcLbqacaaIWaaaleqaaOGaam4yamaaDaaaleaajuga biaaicdaaSqaaKqzaeGaaGOmaaaakiaacIcacaaHZoGaeyOeI0scLb uacaaIXaGccaGGPaaaaa@4055@ , où m 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamyBamaaBaaaleaaju gabiaaicdaaSqabaaaaa@35F8@ est la masse au repos et γ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaaq4Sdaaa@34E2@ est le facteur de Lorentz

Note 1 à l’article: En mécanique classique, l’énergie cinétique d’un corps est donnée par l’intégrale T= 1 2 D v 2 dm MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaWGubGaeyypa0 tcfa4aaSaaaSqaaKqzaeGaaGymaaWcbaqcLbqacaaIYaaaaOWaa8qe aeaaruGqV92AGeKB0LwC1fgaiuGajugibiaa=zhakmaaCaaaleqaba qcLbmacaaIYaaaaaWcbaqcLbmacaqGebaaleqajugibiabgUIiYdqc LbqacaGGKbqcLbsacaWGTbaaaa@48D5@ , où D MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaciiraaaa@3470@ est un domaine qui contient le corps. Lorsque l’axe de rotation passe par le centre de masse, T MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamivaaaa@347F@ est également donnée par T= 1 2 m t v G 2 + 1 2 J ω 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaWGubGaeyypa0 tcfa4aaSaaaOqaaKqzaeGaaGymaaGcbaqcLbqacaaIYaaaaKqzGeGa amyBaKqbaoaaBaaajugabeaajugWaiaabshaaKqzaeqabaqefi0BVT gib5gDPfxDHbacfiqcLbsacaWF2bWcdaqhaaqcLbsabaqcLbmacaqG hbaajugibeaajugWaiaaikdaaaqcLbsacqGHRaWkjuaGdaWcaaGcba qcLbqacaaIXaaaleaajugabiaaikdaaaqcLbsacaWGkbGaaqyYdOWa aWbaaSqabeaajugWaiaaikdaaaaaaa@52EE@ , où m t MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaWGTbqcfa4aaS baaKqzaeqaaKqzadGaaeiDaaqcLbqabeaaaaa@38D9@ est la masse totale, v G MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqefi0BVTgib5gDPfxDHb acfiqcLbsacaWF2bGcdaWgaaqcLbsabaqcLbmacaqGhbaajugibeqa aaaa@3D10@ est la vitesse du centre de masse, J MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaWGkbaaaa@3504@ est le moment d’inertie par rapport à l’axe de rotation, et ω MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaaHjpaaaa@3587@ est la norme de la vitesse angulaire, et où v G MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqefi0BVTgib5gDPfxDHb acfiqcLbsacaWF2bGcdaWgaaqcLbsabaqcLbmacaqGhbaajugibeqa aaaa@3D10@ , J MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaWGkbaaaa@3504@ , et ω MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaqcLbsacaaHjpaaaa@3587@ peuvent dépendre du temps.

Note 2 à l’article: Pour les vitesses basses en relativité, T= m 0 c 0 2 (1+ 1 2 β 2 + 3 8 β 4 +1) 1 2 m 0 v 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaamivaiabg2da9iaad2 gadaWgaaWcbaqcLbmacaaIWaaaleqaaOGaam4yamaaDaaaleaajugW aiaaicdaaSqaaKqzadGaaGOmaaaakiaacIcajugabiaaigdakiabgU caRKqbaoaalaaakeaajugabiaaigdaaOqaaKqzaeGaaGOmaaaakiaa ek7ajuaGdaahaaqcLbqabeWcbaqcLbmacaaIYaaaaKqzaeGaey4kaS scfa4aaSaaaKqzaeqaaiaaiodaaeaacaaI4aaaaOGaaqOSdKqbaoaa CaaajugabeqaleaacaaI0aaaaKqzaeGaey4kaSIaeS47IWKaeyOeI0 IaaGymaiaacMcacqGHijYUjuaGdaWcaaqcLbqabaGaaGymaaqaaiaa ikdaaaGccaWGTbWaaSbaaSqaaKqzadGaaGimaaWcbeaaruGqV92AGe KB0LwC1fgaiuGakiaa=zhadaahaaWcbeqaaKqzadGaaGOmaaaaaaa@6367@ , où β MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaaqOSdaaa@34E1@ est la vitesse normalisée.

Note 3 à l’article: L’unité SI cohérente d’énergie cinétique relativiste est le joule, J.


Publication date: 2022-06
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