Question Detail
Question
A turntable rotates through 6 radians in 3 seconds as it accelerates uniformly from rest. What is its angular acceleration in rad/s²?
Correct Answer
Option D is the correct answer.
Detailed Explanation
Using θ = ω₀t + ½αt², with ω₀ = 0, θ = 6 rad, t = 3 s. So 6 = 0 + ½α(9) → 6 = 4.5α → α = 6/4.5 = 1.333 rad/s².
Hint
Use rotational kinematics: θ = ½αt² from rest.