A particle starts rotating from rest and displaces according to the formula:θ= 3t3/20 - t2/3 Calculate the angular velocity - Physics - Motion In A Plane

Question

A particle starts rotating from rest and displaces according to
the formula:θ= 3t3/20 - t2/3 Calculate
the angular velocity and angular acceleration at the end of 5
seconds

Roopam Shukla · Accepted Answer

In order to find answer differentiate the given equation :-

angular velocity $omega =9t^{^{2}}/20 -2t/3$
angular acceleration $alpha =18t/20 -2/3$
put t= 5 in above equations in order to find angular velocity and angular acceleration at the end of 5 seconds :-
$omega =175/12$ /sec
$alpha = 23/6$ /sec²

A particle starts rotating from rest and displaces according to the formula:θ= 3t3/20 - t2/3. Calculate the angular velocity and angular acceleration at the end of 5 seconds.

A particle starts rotating from rest and displaces according to the formula:θ= 3t³/20 - t²/3. Calculate the angular velocity and angular acceleration at the end of 5 seconds.