Question Detail

PHY 101 Mechanical Equilibrium and Rotational Dynamics Objective Question
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Question

The power developed by a constant torque τ, when the average angular velocity is ω̄, is given by which expression?
Options
A P = τ / ω̄
B P = ½ τ ω̄²
C P = τ ω̄
Correct Answer
D P = ½ τ ω̄
Correct Answer

Option C is the correct answer.

Detailed Explanation

Power is the rate of doing work. For rotational motion, work W = τ θ, so power P = W / t = τ (θ / t). Since average angular velocity ω̄ = θ / t, the formula becomes P = τ ω̄.

Hint

Power in linear motion is force times velocity. Consider its rotational equivalent.

Question Info

Course: PHY 101
Topic: Mechanical Equilibrium and Rotational Dynamics
Type: Objective
Difficulty: Not specified
Question 583 of 1250
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