The average altitude of a satellite above the earth’s surface is 1700 kilometers. Determine the speed of rotation
December 3, 2020 | education
| The average altitude of a satellite above the earth’s surface is 1700 kilometers. Determine the speed of rotation of the satellite around the Earth. Consider the radius of the Earth equal to 6 400 kilometers per hour. The speed of free fall at the surface of the earth is 10 meters second squared.
The satellite speed is found by the formula: V = √GM / (R + h), since the acceleration at height h is found by the formula: g = GM / (R + h) ^ 2, and go = GM / R ^ 2, substituting the formulas , we get:
V = √goR ^ 2 / (R + h), substituting the numbers we get: V = 7000m / s
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