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.
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!
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