Question Detail
Question
The work done (W) by a constant torque τ acting through an angular displacement θ is given by which of the following formulas?
Correct Answer
Option C is the correct answer.
Detailed Explanation
Work done in rotational motion is analogous to work done in linear motion (W = F s). Since s = rθ and torque τ = F r, the work done by a constant torque is W = F s = F (rθ) = (F r) θ = τ θ.
Hint
Relate the linear work formula to rotational quantities using the relationships between linear and angular variables.