A 300N sphere 0.20 m in radius rolls, without slipping, 6.0 m down a ramp that is inclined at 28 degrees with the horizontal. What is the angular speed of the sphere at the bottom of the hill if it starts from rest?

Suggest you use energy principles here. The gain in kinetic energy due to the sphere's translational velocity () plus its rotational velocity ( ) equals the loss in potential energy ().