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A particle starts rotating from rest acc...

A particle starts rotating from rest according to the formula `theta = (3 t^(3)//20) - (t^(2)//3)` .Find the angular velocity and the acceleration at the end of 5s.

Text Solution

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`omega = d theta//dt = 9t^(2)//20-2t//3`, at `t=5s, omega = 7.92 "rad"s^(-1), alpha = domega//dt = 18t//20 - 2//3`, at t=5s, `alpha = 3.83 "rads"^(-1)`
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