A point moves along a circle having a radius 20 cm with a constant tangential acceleration 5 cm / s 2 . How much time is needed after motion begins for the normal acceleration of the point to be equal

Question

A point moves along a circle having a radius 20 cm with a constant tangential acceleration 5 cm / s 2 . How much time is needed after motion begins for the normal acceleration of the point to be equal to tangential acceleration?

TestHub · Accepted Answer

​ v = a t ​ t = 5 t cm / s , and normal acceleration a n ​ = R v 2 ​ = 20 25 t 2 ​ . Setting a n ​ = a t ​ : 20 25 t 2 ​ = 5 gives t 2 = 4 , so t = 2 s . ​

Physics - Circular Motion Question with Solution | TestHub

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