First slide

Torque

Question

Angular velocity of a body at an instant of time is $\vec{ω} = (2 \hat{i} + \hat{j} + 4 \hat{k}) r a d / s$ . A constant torque of $2 \hat{i} + 2 \hat{j} + 2 \hat{k}$ is applied on it . Then power input to the body is

Moderate

A

8 Watt
B

12 Watt
C

14 Watt
D

10 Watt

Solution

Power input $= \vec{τ} . \vec{ω} = (2 \hat{i} + 2 \hat{j} + 2 \hat{k}) . (2 \hat{i} + \hat{j} + 4 \hat{k}) W = (4 + 2 + 8) W = 14 Watt$

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