# Precalc HW (NO IDEA HOW TO SOLVE)

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!

1. 👍
2. 👎
3. 👁
1. 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.

1. 👍
2. 👎

## Similar Questions

1. ### physics

calculate the centripetal acceleration of the earth in its orbit around the sun and the net force exerted on the earth. What exerts this force on the earth? Assume that the earth's orbit is a circle of radius 1.50x10^11m. (earth's

2. ### Physics

The radius of the earth's orbit around the sun (assumed to be circular) is 1.50 X 108 km, and the earth travels around this orbit in 365 days. (a) What is the magnitude of the orbital velocity of the earth, in m/s? (b) What is the

3. ### Physics

GPS can be used to determine positions with great accuracy. The system works by determining the distance between the observer and each of the several satellites orbiting Earth. If one of the satellites is at a distance of 20,000

4. ### physics

If the average speed of an orbiting space shuttle is 19600 mi/h, determine the time required for it to circle the Earth. Make sure you consider the fact that the shuttle is orbiting about 200 mi above the Earth's surface, and

1. ### trig

A space shuttle 200 miles above the earth is orbiting the. Earth once every 6 hours. how far does the shuttle travel in one hour? Note the radius of earth about 4000 miles.

2. ### Weather

Which factor has the biggest impact on Earth's seasons? A) Earth's revolution. B) Earth's elliptical orbit. C) Earth's tilt on its axis. D) Earth's distance from the Sun. ***

3. ### PreCal

On average, the earth in 93 million miles away from the center of the sun. a.) assuming that the earth's orbit is circular, estimate the number of miles our planet travels in one complete revolution around the sun.

4. ### Physics Gravitational Force

Geosynchronous satellites orbit the Earth at a distance of 42000km from the Earth's center. Their angular velocity at this height is the same as the rotation of the Earth, so they appear stationary at certain locations in the sky.

1. ### climate unit test

Everywhere on Earth is about 93 million miles away from the sun. What causes days to be warmer on one part of Earth than on another? A.the rotation of Earth B.the speed of Earth in its orbit C.the angle at which the sun strikes

2. ### Physics

Many people mistakenly believe that astronauts who orbit the Earth are "above gravity." The mass of the Earth is 6x10 ^ 34 kg and radius is 6.38x10 ^ 6 m (6380 km) Use Newton's law to show that in the territory of the special

3. ### Math WORD PROBLEM

The time in hours it takes a satellite to complete an orbit around the earth varies directly as the radius of the orbit (from the center of the earth) and inversely as the orbital velocity. If a satellite completes an orbit 860

4. ### physics

Two artificial satellites, 1 and 2, orbit the Earth in circular orbits having radii R1 and R2. If R2=2R1, the accelerations a2 and a1 of the satellites are related how?