Kinetic energy, work, and power are defined in rotational terms as

*K*.*E*=(1/2)

*I*ω

^{2},

*W*=

*t*θ,

*P*=

*t*ω.

**Comparison of dynamics equation for linear and rotational motion.**The dynamic relations are given to compare the equation for linear and rotational motion (see Table 1 ).

TABLE 1 | Comparison of Dynamics Equations for Linear and Rotational Motion |

Linear Motion | Rotational Motion | |

Newton's second law | F = ma | t = Iα |

Momentum | p = mv | L = Iω |

Work | W= FΔ x or W = ∫ F·dx | W= tΔθ or W = ∫ t·dθ |

Kinetic energy | K· E·=½ mv^{2} | K· E·=½ Iω^{2} |

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