A potter’s wheel is initially rotating at 20rads−1. It experiences a constant angular acceleration of 4rads−2 for 3s, after which a braking torque produces a constant angular deceleration that brings it to rest in the next 5s.
(i) Find the angular velocity just after the first 3s.
(ii) Calculate the angular displacement during the braking period.
(iii) Determine the total angle turned by the wheel from the beginning until it comes to rest.