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

20 W

B

15 W

C

`sqrt(17) W`

D

`sqrt(14)` W

Text Solution

Verified by Experts

The correct Answer is:

A

We know that:
`P = vectau.vecomega = (hati + 2hatj + 3hatk).(2hati + 3hatj + 4hatk)`
`P = 2 + 6 + 12 = 20 W`

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