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A satellite is orbiting the Earth at an altitud... - SS2 Physics Mechanics - Motion in a Plane Question

A satellite is orbiting the Earth at an altitude of 400 km. If the radius of the Earth is 6,371 km, what is the period of the satellite's orbit?

The period of an object in orbit around the Earth is given by the formula: 

T = 2π√(r3 / GM), 

where r is the sum of the radius of the Earth and the altitude of the satellite, G is the gravitational constant, and M is the mass of the Earth. 

Plugging in the values, we get 

T = 2π√((6,371 + 400)3 / GM) = 12 hours.

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