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A wheel rotating at 50 rad/s decelerates uniformly to rest in 10 s. Total angular displacement:

A500 rad
B250 rad
C1000 rad
D100 rad
Answer & Solution
Correct answer: B. 250 rad
Using omega² = omega0² + 2 alpha theta or theta = (omega0 + omega)/2 × t = (50 + 0)/2 × 10 = 250 rad. The average angular velocity is 25 rad/s for 10 s, giving 250 rad.
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