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

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

A

20W

B

15W

C

`sqrt17W`

D

`sqrt14W`

Text Solution

Verified by Experts

The correct Answer is:
A
Power `(P)= vec(tau).vec(omega)= (i+ 2hat(j) + 3hat(k)). (2hat(i) + 3hat(j) + 4hat(k))= 2 + 6+ 12= 20W`
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