The wheel of an 80 cm diameter bicycle rotates at 50 rpm the moment a cyclist sees a pedestrian crossing. It applies the brake and comes to a complete stop 3 seconds later with constant deceleration during that period. Calculate
a) The angular acceleration of the break.
b) The number of turns made in 3 seconds.
c) The angular velocity, period and frequency when the movement is UCM.
d) Draw the velocity vector, the tangential acceleration vector and the normal acceleration vector for a point on the tire during braking.