Question Detail

PHY 101 Rotational Motion Objective Question

Question

A wheel starts from rest and has a constant angular acceleration of 2 rad/s². What is its angular speed after 5 seconds?
Options
A 0.4 rad/s
B 2.5 rad/s
C 10 rad/s
Correct Answer
D 20 rad/s
Correct Answer

Option C is the correct answer.

Detailed Explanation

Using the rotational kinematic equation ω = ω₀ + αt, where ω₀ = 0 rad/s (starts from rest), α = 2 rad/s², and t = 5 s, we get ω = 0 + (2 rad/s²)(5 s) = 10 rad/s.

Hint

Apply the equation that relates final angular velocity to initial angular velocity, angular acceleration, and time.

Question Info