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A wheel is at rest. Its angular velocity increases uniformly and becomes 80 rad/s after 5 s. The total angular displacement is:

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. Angular displacement is average angular velocity multiplied by time: $40 \times 5 = 200$ rad. So the correct answer is 200 rad.

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