Find the acceleration of the moon with respect to the earth from the following data: Distance between the earth and the moon = 385 × 10 km and the time taken by the moon to complete one revolution around the earth = 273 days.
Distance between the earth and the moon = Radius of revolution, R = 385 × 104 m
Time taken by moon to complete one revolution, T = 273 days
= 273 × 24 × 60 × 60 secs
= 23587200 secs
Angular frequency, ω = 2πf = 2π/T
Acceleration of the moon = ω2R = (2π/T)2R = 4π2R/T2
= 2.73 × 10-7 m/s2
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