The angular acceleration of a shaft is given by α = -0.20ωrad/s2 , where ω represents the angular velocity of the shaft. Ifat t = 0 the angular velocity ω of the shaft is 18 rad/s, determine(a) the number of revolutions the shaft will execute before comingto rest, (b) the time required for the shaft to come to rest, (c)the time required for the angular velocity of the shaft to bereduced to 1 rad/s