A particle is moving with a constant angular acceleration of 4 rad / s 2 in a circular path. At time t = 0 , particle was at rest. Find the time at which the magnitudes of centripetal acceleration and

Question

A particle is moving with a constant angular acceleration of 4 rad / s 2 in a circular path. At time t = 0 , particle was at rest. Find the time at which the magnitudes of centripetal acceleration and tangential acceleration are equal.

TestHub · Accepted Answer

​ a r ​ = R ω 2 and a t ​ = R α . ​ Starts from rest, so ω = α t . The condition a r ​ = a t ​ gives ( α t ) 2 = α , so t ​ = α ​ 1 ​ = 4 ​ 1 ​ = 2 1 ​ s . ​

Physics - Circular Motion Question with Solution | TestHub

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