Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

A turntable rotates through 6 radians in 3 seconds as it accelerates uniformly from rest. What is its angular acceleration?
Options
A 1 rad/s²
B 0.33 rad/s²
C 1.33 rad/s²
Correct Answer
D 3.33 rad/s²
Correct Answer

Option C is the correct answer.

Detailed Explanation

Using θ = ω0t + (1/2)αt^2, with ω0=0, θ=6 rad, t=3 s. So, 6 = 0 + (1/2)α*(3^2) => 6 = 4.5α => α = 6 / 4.5 ≈ 1.33 rad/s².

Hint

Use the kinematic equation for angular displacement under constant angular acceleration.

Question Info