A particle at rest starts moving with constant angular acceleration $4 rad / s^{2}$ in circular path.
At what time the magnitude of its tangential acceleration and centrifugal acceleration will be equal?

Question

A particle at rest starts moving with constant angular acceleration 4 rad/s^2 in circular path. At what time the magnitude of its tangential acceleration and centrifugal acceleration will be equal?

Accepted Answer

Correct answer: B. (b) Here : angular acceleration, =4 rad/s^2 dω dt=4 ⇒ =4t rad/s ;v= rω=4 tr Given, a_T=a_C ⇒ αr= v^2r ⇒4r= 16t^2r^2r ⇒t^2= 14 ⇒t=0.5 sec.

$A particle at rest starts moving with constant angular acceleration 4 rad / s^{2} in circular path. At what time the magnitude of its tangential acceleration and centrifugal acceleration will be equal?$

Solution

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