The key relationship is
linear velocity = angular velocity x radius,
a) since the satellite is 200 miles above the earth, the radius would be 4160 miles.
lin. vel = ang vel. x radius
17000 = av(4160)
4.07 = av
so the angular velocity would be 4.07 radians/hour
(remember that 2pi, or 6.28 radians is one rotation, which makes this 234º per hour)
b) this seems to be the reverse question of a). Notice we got appr 4 radians per hour as the answer to the angular velocity, so the satellite would have to be about 200 miles above the earth.
Check my calculations, this seems rather odd.
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