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The angular velocity of a body is given ...

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

A

12 watt

B

24 watt

C

16 watt

D

8 watt

Text Solution

Verified by Experts

The correct Answer is:
B
In translational motion, Power `="Force"xx"Velocity"`
`=vecF.vecv`
In rotational motion, Rotational power
`= vec(tau).vec(omega)=(2hati+3hatj+4hatk).(3hati+2hatj+3hatk)`
`therefore P=6+6+12="24 wall"`
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