Posted by NIQUEFROMDALLAS on Sunday, October 26, 2008 at 9:36pm.
That is high. Did you work if from the Earth's surface, for from the center of Earth?
I worked it from the center of the Earth so i have to go back and subtract the radius of the Earth from that answer.
where is m v^2/r = G M m/r^2
as you said, m cancels
v^2 = G M/r
T = 24 h *3600 s/h = 86,400 s
2 pi r = v T = 86,400 v
so
r = 13,751 v
v^3 = G M/13,751 = 6.67*10^-11 * 6*10^24/1.38*10^4
v^3 = 29*10^9
v = 3.07 * 10^3
then r = 4.24 * 10^7
eight = (10^7 )(4.24 - .636) = 3.6 *10&
remember to subtract the radius of earth to get the altitude.
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