A yo-yo moves downward until it reaches the end of its string, where it "sleeps." As it sleeps -- that is, spins in place -- its angular speed decreases from 38 rad/s to 28 rad/s. During this time it completes 114 revolutions. Assume a constant angular acceleration as the yo-yo sleeps.
a.) How long did it take for the yo-yo to slow from 38 rad/s to 28 rad/s? ________ s
b.) How long did it take for the yo-yo to slow from 28 rad/s to 18 rad/s? ________ s
a and b are both 21.7 seconds, but i can't figure the work.