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BitterSuites

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**[SOLVED] Centripetal Acceleration**

## Homework Statement

In order for a satellite to move in a stable circular orbit of radius 6689 km at a constant speed, its centripetal acceleration must be inversely proportional to the square of the radius of the orbit.

What is the speed of the satellite? The universal gravitational constant is 6.67259e-11 and the mass of the Earth is 5.98e24.

Answer in units of m/s.

## Homework Equations

a = v^2/r

F = Gm1m2/r^2

F = ma

## The Attempt at a Solution

Ok, a = v^2/r becomes v = sqrt of ar.

From the problem, a = r^-1/2 (or am I wrong?) so a = .012227

sqrt of ar = sqrt of 81.9863

v=9.0-4358

This however, is incorrect. Somehow G is important, but I'm not seeing it. Please help lead me to the right equations.