IEVref: 113-03-49 ID: Language: en Status: Standard Term: kinetic energy Synonym1: Synonym2: Synonym3: Symbol: TEk Definition: energy associated with motion, defined for a particle in classical mechanics by $T=\frac{1}{2}m\text{\hspace{0.17em}}{v}^{2}$, where m is its mass and v is its speedNOTE 1 The kinetic energy of a body is given by the integral $T=\frac{1}{2}{\int }_{\text{D}}{v}^{2}dm$, where D is a domain containing the body. When the axis of rotation is through the centre of mass, T is also given by $T=\frac{1}{2}{m}_{\text{t}}{v}_{\text{G}}^{2}+\frac{1}{2}J{\omega }^{2}$, 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 Source: Replaces: Internal notes: 2017-06-02: Cleanup - Remove Attached Image 113-03-49en.gif CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: