A lighthouse emits a narrow light beam that sweeps across the horizon once every

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A lighthouse emits a narrow light beam that sweeps across the horizon once every 4.0 s4.0\,\text{s}. A ship is anchored 500 m500\,\text{m} from the lighthouse in the plane of rotation of the beam. (i) Calculate the angular speed of the light beam. (ii) Determine the linear speed of the illuminated spot on the ship's hull. (iii) How many complete revolutions does the beam make in 5.0 min5.0\,\text{min}?

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