Particle in uniform circular motion

[shreddinglicks]

Homework Statement

A satellite is orbiting 600km above the Earths surface. The free fall speed is 8.21 m/s^2. The radius of Earth is 6400km.

What is the satellites speed, and the time interval for one orbit around Earth.

Homework Equations

v = ((2)(PI)(r))/T
ac = rw^2
w = (2)(PI) / T

The Attempt at a Solution

8.21 = 7000w^2
w = .0346

.0346 = (2(PI)) / T
T = .76

(2)(PI)(7000) / .76 = 57871.44

I am unsure of what to do or where I went wrong.

 

[mfb]

You should always use units in your calculations. In this case, units would have shown you where the error is.
(The result should be somewhere around 2 hours or ~7000 seconds, probably a bit less)