A disk of radius 0.30 meter and mass 7 kilogram is spinning clockwise at 22 rad/s about a fixed axis in the center. After rotating through 65 radians the disk is spinning in the opposite direction at 18 rad/s.
a) Find at what time does the disk momentarily come to rest?
b) Find the smallest magnitude the total acceleration can have as the disk rotates through the 65 radians? Describe the velocity of the wheel when this happens.
c) Find what will the time be the first time the radial acceleration is momentarily g (i.e. the shortest time to when the radial acceleration is g)?