Question Detail

PHY 101 Circular Motion Objective Question

Question

What is the angular displacement of the disc in the previous question (initial ω=6 rad/s, α=2 rad/s², t=3 s)?
Options
A 9 rad
B 27 rad
Correct Answer
C 18 rad
D 24 rad
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using the equation θ = ωit + (1/2)αt², we get θ = (6 rad/s * 3 s) + (1/2 * 2 rad/s² * (3 s)²) = 18 rad + (1 * 9) rad = 27 rad.

Hint

Apply the second rotational equation of motion, which includes the initial angular velocity and the angular acceleration terms.

Question Info