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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli
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(II) Determine the time it takes for a satellite to orbit

Chapter 18, Problem 46P

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QUESTION:

Problem 46P

Problem

(II) Determine the time it takes for a satellite to orbit the Earth in a circular near-Earth orbit. A "near-Earth" orbit is at a height above the surface of the Earth that is very small compared to the radius of the Earth. [Hint You may take the acceleration due to gravity as essentially the same as that on the surface.] Does your result depend on the mass of the satellite?

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QUESTION:

Problem 46P

Problem

(II) Determine the time it takes for a satellite to orbit the Earth in a circular near-Earth orbit. A "near-Earth" orbit is at a height above the surface of the Earth that is very small compared to the radius of the Earth. [Hint You may take the acceleration due to gravity as essentially the same as that on the surface.] Does your result depend on the mass of the satellite?

ANSWER:

Step 1 of 4

In order to evaluate the angular speed, we use the following relation

Rearrange and solve for the period of the object

If an object is moving in a circle of radius  with constant speed , then the motion is said to be a uniform circular motion. It has a radial acceleration  that is directed radially toward the center of the circle which is called radial acceleration which is given by

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