Space Shuttle

Fgravity = GMearthmsat/rsat2 = msat acircular = msatw2rsat

or GMearth/rsat3 = w2 so we can solve for w:

w = [6.67 x 10-11 Nt-m2/kg2 * 6.0 x 1024 kg / ( 6.72 x 106 m)3 ]1/2 = 1.148 x 10-3 rad/sec .

From w = 2pf = 2p/T, we can solve for T

T = 2p/w = 2 * 3.14 / 1.148 x 10-3 sec = 5,470 sec

= 91 minutes.

From vq = wr we get vq =

1.148 x 10-3 rad/sec * 6.72 x 106 m = 7720 m/s = 17,000 mph

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