An object is found to rotate with an angular velocity ω(t)=15t2−30t+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 C1.0s
Angular velocity of the object w(t)=15t2−30t+25 rad/s
Differentiating w.r.t time we get angular acceleration α=dw(t)dt=30t−30rad/s2