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A point on the rim of a disc starts circ...

A point on the rim of a disc starts circular motion from rest and after time t, it gains an angular acceleration given by `alpha=3t-t^(2)`. Calculate the angular velocity after 2 s.

Text Solution

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`(d omega)/(dt)=3t-t^(2) rArr underset(o)overset(t)int (3t-t^(2))dt`
`rArr`
`omega=(3t^(2))/(2)-(t^(3))/(3) rArr `at t=2s, `omega=(10)/(3)`rad/s
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