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 the figure, travels to a distant mirror, and returns to the wheel just in time to pass through the next sloa in the wheel. One such slotted wheel has a radius of 3.5 cm and 150 slots at its edge. Measurements taken when the mirror is L= 250 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? Light beam Light Mirror SOurce perpendicular to light beam

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 the figure, travels to a distant mirror, and returns to the wheel just in time to pass through the next sloa in the wheel. One such slotted wheel has a radius of 3.5 cm and 150 slots at its edge. Measurements taken when the mirror is L= 250 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? Light beam Light Mirror SOurce perpendicular to light beam