The angular velocity of a body is vec(om...

The angular velocity of a body is `vec(omega) = 2hati + 3hatj - 4hatk` and torque `vec(tau) = hati + 2hatj + 3hatk ` acts on it. The rotational power is

A

5 W

B

10 W

C

15 W

D

20 W

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The correct Answer is:

D

Power `P = tau .vecomega =(hati + 2hatj + 3hatk).(2hati + 3hatj + 4hatk) = 2 + 6 + 12 = 20 W`

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