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The radius of a planet is R1 and a satellite revolves round it in a circle of radius R2. The time period of revolution is T. Find the acceleration due to the gravitation of the planet at its surface.

The radius of a planet is R1 and a satellite revolves round it in a circle of radius R2. The time period of revolution is T. Find the acceleration due to the gravitation of the planet at its surface.

Grade:upto college level

1 Answers

Jitender Pal
askIITians Faculty 365 Points
7 years ago
Sol. T = 2π √R base 2^3/gR base 1^2 Or T^2 = 4π^2 R base 2^3/gR base 1^2 Or g = 4π^2/T^2 R base 2^3/gR base 1^2 ∴ Acceleration due to gravity of the planet is = 4π^2/T^2 R base 2^3/gR base 1^2

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