Precalc HW (NO IDEA HOW TO SOLVE)
posted by Amie .
Low Earth orbiting satellites orbit between 200 and 500 miles above Earth. In order to keep the satellites at a constant distance from Earth, they must maintain a speed of 17,000 miles per hour. Assume Earth's radius is 3960 miles.
a. Find the angular velocity needed to maintain a LEO satellite at 200 miles above earth.
b. How far above Earth is a LEO with a angular velocity of 4 radians per hour?
c. Describe the angular velocity of any LEO satellite
I posted another topic, but no one replied. THX <3!

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 234ยบ 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.