A particle at rest starts moving with a constant angular acceleration of 4 rad / s ^2 in a circular path. The time at which magnitudes of its centripetal acceleration and tangential acceleration will be equal, is (in second)

Step-by-step solution

Given that, =4 rad / s ^2 Centripetal (radial) acceleration, a _ r = r ^2 Tangential acceleration, a_t=r If a_r=a_t , then r ^2=r array ll & ^2= =4 & = 4 =2 rad / s & But, = ₀+ t =0+ t = t & 2=4 t & t = 1 2 ~s array