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Particle in uniform circular motion

  • #1

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.
 

Answers and Replies

  • #2
34,233
10,275
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)
 

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