A lighthouse emits a narrow light beam that sweeps across the horizon once every 4.0s. A ship is anchored 500m from the lighthouse in the plane of rotation of the beam.
a. (i) Calculate the angular speed of the light beam.
b. (ii) Determine the linear speed of the illuminated spot on the ship's hull.
c. (iii) How many complete revolutions does the beam make in 5.0min?