posted by ed .
A flywheel turns through 46 rev as it slows from an angular speed of 3.1 rad/s to a stop.
Assuming a constant angular acceleration, find the time for it to come to rest?
What is its angular acceleration (in rad/s^2) ?
How much time is required for it to complete the first 23 of the 46 revolutions?
The average angular speed will be 1.55 rad/s.
(average speed)*(stopping Time) = 2 pi * 46 radians
Time(s) = (92 pi rad)/(1.55 rad/s) = 186.5 s
Angular acceleration = -(Initial angular speed)/(Time to stop)
Derive an equation for # of turns (n) vs t and use it to solve for t when n=23.