A motor running at 2600 rev/min is suddenly switched off and decelerates uniformly to rest after 10 s. Find the angular deceleration and the number of rotations to come to rest?

Angular acceleration = (change in angular speed) / (time for the change)

change in angular speed = (zero - 2,600 RPM) = - 2,600 RPM

time for the change = 10 sec

Angular acceleration = - 2600 RPM / 10 sec = - 260 rev / min-sec

(-260 rev/min-sec) x (1 min / 60 sec) = - (4 1/3) rev / sec²

Since the acceleration is negative, the motor is slowing down.

You might call that a 'deceleration' of (4 1/3) rev/sec².

The average speed is 1/2 (2,600 + 0) = 1,300 rev/min = (21 2/3) rev/sec.

Number of revs = (average speed) x (time) = (21 2/3) x (10sec) = (216 2/3) revs