A car tyre of radius 30cm starts from rest and attains a rotational speed of 600revmin−1 in 8s with uniform angular acceleration.
(i) Determine the angular acceleration of the tyre.
(ii) Calculate the tangential acceleration of a point on the outer tread at the instant t=5s after the start.
(iii) Find the corresponding centripetal acceleration of that point at t=5s.