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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

Verified by Experts

`(dx)/(dt) =3t-t^(2) rarr overset(x) in_(o) dx =overset(t) int_(o) (3t-t^(2))dt`
`x=(3t^(2))/(2) -(t^(3))/(3) rarr" at "t=2s, x=(10)/(3)" rad/s"`
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