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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.

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`(domega)/(dt)=3t-t^(2) Rightarrow int_(0)^(omega)domega=int_(0)^(t)(3t-t^(2)) Rightarrow omega=(3t^(2))/(2)=(t^(3))/(3)Rightarrow "at t=2", omega=(10)/(3)"rad/s"`
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