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Newton's Second Law: Rotatory Version

When angular ...

Question

When angular velocity is unity prove that moment of inertia is equal to twice the rotational kinetic energy ?

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Solution

$R o t a t i o n a l k i n e t i c e n e r g y i s g i v e n b y : K E = \frac{1}{2} I ω^{2} I i s t h e m o m e n t o f i n e r t i a ω i s t h e r o t a t i o n a l k i n e t i c e n e r g y : ω = 1 K E = \frac{I}{2} I = 2 \times K E h e n c e m o m e t o f i n e r t i a i s t w i c e t h e r o t a t i o n a l k i n e t i c e n e r g y .$

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Newton's Second Law: Rotatory Version

Standard XII Physics

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