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

Step-by-step solution

aligned & =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 & = =2 rad / s & = ₀+ t =0+ t = t & or t = = 1 2 aligned