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Communications satellites are placed in circular orbits

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight ISBN: 9780321740908 69

Solution for problem 29P Chapter 8

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition

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Problem 29P

Communications satellites are placed in circular orbits where they stay directly over a fixed point on the equator as the earth rotates. These are called geosynchronous orbits. The altitude of a geosynchronous orbit is 3.58 × 107 m (≈ 22,000 miles).

a. What is the period of a satellite in a geosynchronous orbit?

b. Find the value of g at this altitude.

c. What is the weight of a 2000 kg satellite in a geosynchronous orbit?

Step-by-Step Solution:

Solution 29P

Step 1 of 3</p>

Part a

A geosynchronous satellite takes 24 hours to orbit once around the Earth. This is the same as the Earth takes to complete one rotation about its axis.

Step 2 of 3</p>

Part b

The height of a geosynchronous satellite from the surface of the Earth is approximately m.

The radius of Earth is 6370 km or m.

Therefore, the height of a geosynchronous satellite from the center of the Earth is,

m

m

The value of at this altitude is nothing but the centripetal acceleration.

Therefore,

Now, hr

s

s

Therefore, m/s2

m/s2

Step 3 of 3

Chapter 8, Problem 29P is Solved
Textbook: Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Edition: 3
Author: Randall D. Knight
ISBN: 9780321740908

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics was written by and is associated to the ISBN: 9780321740908. This textbook survival guide was created for the textbook: Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, edition: 3. This full solution covers the following key subjects: geosynchronous, orbit, satellite, altitude, orbits. This expansive textbook survival guide covers 17 chapters, and 1439 solutions. The full step-by-step solution to problem: 29P from chapter: 8 was answered by , our top Physics solution expert on 08/30/17, 04:34AM. Since the solution to 29P from 8 chapter was answered, more than 5432 students have viewed the full step-by-step answer. The answer to “Communications satellites are placed in circular orbits where they stay directly over a fixed point on the equator as the earth rotates. These are called geosynchronous orbits. The altitude of a geosynchronous orbit is 3.58 × 107 m (? 22,000 miles).a. What is the period of a satellite in a geosynchronous orbit?________________b. Find the value of g at this altitude.________________c. What is the weight of a 2000 kg satellite in a geosynchronous orbit?” is broken down into a number of easy to follow steps, and 73 words.

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