Q. A rotating object has angular velocity doubled. Its rotational kinetic energy becomes:

एक घूमती हुई वस्तु का कोणीय वेग दोगुना हो गया है। इसकी घूर्णी गतिज ऊर्जा बन जाती है:

Same
वही

Double
दोहरा

Four times
चार बार

Half
आधा

Rotational kinetic energy:

K = \frac{1}{2}I\omega^2

If $\omega$ is doubled, new kinetic energy becomes:

K^{'} = \frac{1}{2} I (2 ω)^{2} = \frac{1}{2} I \cdot 4 ω^{2} = 4 K

So energy becomes 4 times.

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