A solid cylinder with a radius of 5.08 cm starts from rest at the top of a 12m long ramp inclined 20.3 degrees above the horizontal. When it reaches the bottom of the ramp 3.25s later the cylinder has a final linear velocity of 7.38 m/s. What was the average angular velocity of the cylinder?
12m/(2π*5.08cm) = 37.6 revolutions
37.6*2π/3.25 = 72.7 radians/s