Randall D. Knight — Kinematics in Two Dimensions: Problem Problem_68

Communications satellites are placed in a circular orbit where they stay directly over a fixed point on the equator as the earth rotates. These are called geosynchronous orbits. The radius of the earth is \(6.37 \times 10^6 \text{ m}\), and the altitude of a geosynchronous orbit is \(3.58 \times 10^7 \text{ m}\) (\(\approx 22,000\) miles). What are (a) the speed and (b) the magnitude of the acceleration of a satellite in a geosynchronous orbit?