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What is the kinetic energy of a rotating body about its center?

1. K.E. = L²/2mr²
2. K.E. = L²/4mr²
3. K.E. = L²/2I
4. K.E. = L²/4I

Correct answer: K.E. = L²/2I

Solution

The kinetic energy of a rotating body is given by K.E. = (1/2)Iω². Using the relation L = Iω, we can rewrite it as K.E. = L²/2I.

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