(Untitled) | (Untitled) | (Untitled) | (Untitled) | (Untitled) | Examples |

IEVref: | 113-03-49 | ID: | |

Language: | en | Status: Standard | |

Term: | kinetic energy | ||

Synonym1: | |||

Synonym2: | |||

Synonym3: | |||

Symbol: | TE_{k}
| ||

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 $T=\frac{1}{2}{\displaystyle {\int}_{\text{D}}{v}^{2}}dm$ NOTE 2 In relativity, the dependence of the mass | ||

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: |

NOTE 1 The kinetic energy of a body is given by the integral $T=\frac{1}{2}{\displaystyle {\int}_{\text{D}}{v}^{2}}dm$*,* 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 *m*_{t} is total mass, *V*_{G} 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 *v*_{G}, *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.