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Question

A wheel initially has an angular velocity of 18rad/s.IT has a constant acceleration of 2.0rad/s2 and is slowing at first.What time elapses before its angular velocity is 18rad/s in the direction opposite to its initial angular velocity?

A
3.0s
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B
6.0s
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C
9.0s
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D
18s
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Solution

The correct option is D 18s
Given initial angular velocity ωi=18 rad/s
final angular velocity ωf=18 rad/s
And we know acceleration α=ωfωit=1818t
t=362=18=18 s

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