A disk in your computer spins at 5400 rpm. If this disk turns through 12 revolutions before coming to stop, find the disks angular velocity acceleration. Also find the time it takes to stop.

Answer 1

Va = 5400rev/min*1min/60s*6.28rad/rev =
565.2 rad/s.

t = (12rev/5400rev) * 60s = 0.133 s.

V = Vo + at = 0
at = -Vo
a = -Vo/t = -565/0.133 = -4248 rad/s^2.