An eartly method of measuring the speed of light makes use of a rotating slotted wheel.
A beam of light passes through one of the slots at the outside edge of the wheel, 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 500 slots around its edge. Measurements taken when athe mirror is L = 550 m from the wheel indicate a speed of light of 3.0 x 10^8 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?