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Question

An object is found to rotate with an angular velocity ω(t)=15t230t+25, where ω is measured in radians per second.
Which of the following best represents the time interval in which the angular acceleration of the object zero?

A
0.5s
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B
1.0s
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C
1.5s
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D
2.0s
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E
2.5s
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Solution

The correct option is C 1.0s

Angular velocity of the object w(t)=15t230t+25 rad/s
Differentiating w.r.t time we get angular acceleration α=dw(t)dt=30t30 rad/s2
According to question α=0
30t30=0 t=1.0 s

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