Question Detail

PHY 101 Rotational Motion Objective Question

Question

The power P delivered by a constant torque τ to an object rotating with angular velocity ω is
Options
A P = τ / ω
B P = τ ω
Correct Answer
C P = ½ τ ω²
D P = τ ω²
Correct Answer

Option B is the correct answer.

Detailed Explanation

Power is the rate of doing work. Since work dW = τ dθ, power P = dW/dt = τ (dθ/dt) = τ ω. This is analogous to the translational power formula P = F v.

Hint

Power is work per unit time. Relate the work formula for rotation to time.

Question Info