A satellite in Low Earth Orbit (LEO) travels about 7.8 kilometers per second, and takes about 90 minutes to circle the Earth. The Earth's radius is about 6378 kilometers. • What is the circumference of the orbit this satellite takes? How can you use this to determine the height above the earth at which the satellite is orbiting? Draw a picture to illustrate your ideas. If you have difficulty attaching an image, please reach out to me. • Find the equation of a circle representing this orbit, assuming the center of the Earth is at the origin. Explain how this is related to the Pythagorean theorem. • What is the height of this satellite? • How long does it take the satellite to pass through an angle of ? over 3 radians? What angle does it pass through 90 minutes after this? Explain. • Express the angular velocity of the satellite in the following ways, showing all work: • Radians per second • Degrees per second • Revolutions per day

A satellite in Low Earth Orbit (LEO) travels about 7.8 kilometers per second, and takes about 90 minutes to circle the Earth. The Earth's radius is about 6378 kilometers. • What is the circumference of the orbit this satellite takes? How can you use this to determine the height above the earth at which the satellite is orbiting? Draw a picture to illustrate your ideas. If you have difficulty attaching an image, please reach out to me. • Find the equation of a circle representing this orbit, assuming the center of the Earth is at the origin. Explain how this is related to the Pythagorean theorem. • What is the height of this satellite? • How long does it take the satellite to pass through an angle of ? over 3 radians? What angle does it pass through 90 minutes after this? Explain. • Express the angular velocity of the satellite in the following ways, showing all work: • Radians per second • Degrees per second • Revolutions per day

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 70P

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