Determine the stopping location of the prize wheel. The prize wheel has 36 slots. At this moment it is centered on the number 8. It is spinning with energy of 42.37 J. It is slowing at a rate of 1.500 rad/s/s. The disk is made from a wood with a density of 533.0 kg/m^3. The disk is 28.0 mm thick and has a radius of 48.0 cm.

Predict the angular displacement it will go through and predict the number on which the wheel will stop.

The wheel will spin clockwise.