A spinning disk is rotating at a rate of 5 rad/s in the negative clock-wise direction. If the disk is subjected to an angular acceleration in the clock-wise direction at a rate of 2 rad/s2, Find the wheel's angular velocity in rad/s after 2 s.

Amachinist turns the power on to a grinding wheel, at rest, at time t = 0 s. the wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 96 rad/s. the wheel is run at that angular velocity for 40 s and then power is shut off. the wheel slows down uniformly at 1.5 rad/s2 until the wheel stops. in this situation, the time interval of deceleration is closest to: