A wheel initially rotating at 12 rad/s accelerates uniformly at 3.0 rad/s² for 4.0 seconds. Through what total angular displacement does it turn during this time?
Answer and explanation
Correct answer: D. 72 rad
- Step 1: Apply rotational kinematics: .
- Step 2: Compute: .
Answer
72 rad.
Why not the others: 96 rad omits the factor; 48 rad calculates displacement without acceleration; 120 rad calculates final angular velocity times time.
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