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

Step-by-step solution

In rotational motion, aligned & = ₀+ t & = t aligned ( ₀=0 ; particle at rest.) Centrifugal acceleration a = ^2 r a = ^2 t ^2 r Tangential acceleration a _ t = r Given: a = a _ t ^2 t ^2 r = r t ^2= 1 = 1 4 t = 1 2 =0.5 ~s