Calculating the Radius of a Geosynchronous Satellite Orbit Around Earth

[aligass2004]

Homework Statement

http://i241.photobucket.com/albums/ff4/alg5045/MUG_co_6.jpg

A satellite that goes around the Earth once every 24 hours is called a geosynchronous satellite is in an equatorial orbit, its position appears stationary with respect to a ground station, and it is known as a geostationary satellite.

Find the radius R of the orbit of a geosynchronous satellite that circles the earth. (Note that R is measured from the center of the earth, not the surface) You may use the following constants:

G=6.67*10^-11
mass of the Earth = 5.98*10^24 kg
radius of the Earth = 6.38*10^6 m

Homework Equations

The Attempt at a Solution

I have no idea how to even begin this problem.

 

[D H]

What is a geosynchronous satellite's orbital period? What are the relevant equations regarding orbital period?

 

[aligass2004]

The orbital period is 24 hours or 86400 seconds. I think the relevant equation is v = 2(pi)(r)/T.

 

[D H]

You aren't incorporating gravity. You need to do that.