initial angular velocity, w1 = 1200 rpm = 1200*2pi/60 = 40 pi rad/s
Final angular velocity, w2 = 3120 rpm = 3120*2pi / 60 = 104 pi rad/s
Time t = 16 s
(i)Angular acceleration, a = (104-40)/16 = 64pi/16 = 4 pi rad/s^2
(ii) Angle, theta = 40pi*16 + ½*4pi * 256 = 1152pi rad
Thus, number of revolutions, n= 1152pi/2pi revolutions
= 576 rev