Question

A particle of mass 10 kg is moving along a circular path of a constant radius of 5 m such that its centripetal acceleration a_c varies with time as a_c = 25 rt² m/s² . Calculate the power delivered to the particle at t = 5s.

Answer 1

We have a_c = 25 rt² m/s² ; r = 5 m

The tangential acceleration = a_r = dv/dt = 5r = 25 m/s²

The tangential force = F_T = a_T = 10 × 25 = 250 N 

Power is delivered only by tangential force;