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A wheel starts from rest and undergoes uniform angular acceleration, reaching an angular velocity of 80 rad/s after 5 seconds. What is the total angular displacement of the wheel during this time?

1. 800 rad
2. 400 rad
3. 200 rad
4. 100 rad

Correct answer: 200 rad

Solution

With uniform angular acceleration from rest, the average angular velocity is \((0+80)/2 = 40\) rad/s. Multiplying by time 5 s gives angular displacement \(40\times5 = 200\) rad.

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