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A particle starts from rest and its angu...

A particle starts from rest and its angular displacement (in rad) is given `theta=(t^2)/(20)+t/5`. Calculate the angular velocity at the end of `t=4s`.

Text Solution

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`theta=(t^2)/(20)+t/5`, `omega=(d theta)/(dt)=(2t)/(20)+1/5=t/10+1/5`
`omega_(t=4s)=4/10+1/5=0.6rads^-1`
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