Question Detail

PHY 101 Rotational Motion Objective Question

Question

A torque is applied to a flywheel, causing it to rotate. The work done by the torque as the flywheel rotates through an angular displacement Δθ is given by
Options
A W = τ / Δθ
B W = τ Δθ
Correct Answer
C W = ½ τ Δθ
D W = τ (Δθ)²
Correct Answer

Option B is the correct answer.

Detailed Explanation

The work done by a constant torque τ in rotating an object through an angular displacement Δθ (in radians) is given by W = τ Δθ. This is the rotational analog of the translational work formula W = F Δx.

Hint

Recall that work is force times displacement. For rotation, torque is analogous to force, and angular displacement is analogous to linear displacement.

Question Info