Rotational Kinetic Energy, Work and Power

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

E=(1/2) Iω², W= tθ, P= tω.

 

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 mv2	K· E·=½ Iω2

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