Question Detail

PHY 101 Rigid Body Dynamics Objective Question

Question

A flywheel of radius 1.2 m and moment of inertia 12.5 kg m² starts from rest and uniformly attains an angular speed of 10 rad/s in 5 seconds. What is the angular acceleration of the flywheel?
Options
A 0.5 rad/s²
B 2 rad/s²
Correct Answer
C 5 rad/s²
D 50 rad/s²
Correct Answer

Option B is the correct answer.

Detailed Explanation

Angular acceleration α is defined as the rate of change of angular velocity. Assuming uniform angular acceleration, α = (ω_final - ω_initial) / t. Here, ω_initial = 0 rad/s, ω_final = 10 rad/s, and t = 5 s. Therefore, α = (10 rad/s - 0 rad/s) / 5 s = 2 rad/s².

Hint

Recall the definition of average angular acceleration for motion with constant angular acceleration.

Question Info