An early method of measuring the speed of light makes use of a rotating slotted wheel. A beam of light passes through a slot at the outside edge of the wheel, as in Fig. 10-31, travels to a distant mirror, and returns to the wheel just in time to pass through the next slot in the wheel. One such slotted wheel has a radius of 5.0 cm and 220 slots at its edge. Measurements taken when the mirror is L = 620 m from the wheel indicate a speed of light of 3.0 x 105 km/s.
(a) What is the (constant) angular speed of the wheel?
(b) What is the linear speed of a point on the edge of the wheel?