Chapter 8, Problem 63P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# (a) Calculate the angular momentum of Earth that arises from its spinning motion on its axis, treating Earth as a uniform solid sphere, (b) Calculate the angular momentum of Earth that arises from its orbital motion about the Sun, treating Earth as a point particle.

(a)

To determine
The angular momentum of earth that arises from its spinning motion on its axis.

Explanation

Given info: The mass of earth is 5.98Ã—1024â€‰kg , the radius of earth is 6.38Ã—106â€‰m , and the period of earth is 8.64Ã—104â€‰s .

Explanation: The angular speed of the earth is Ï‰E=2Ï€/T and the angular momentum of the earth by its spinning motion can be defined as Lspin=IsphereÏ‰E=[(2/5)MERE2Ï‰E] .

Formula for the angular momentum of earth due to its spinning motion on its axis is,

Lspin=45Ï€MERE2T

• ME is mass of earth.
• RE is radius of earth.
• T is period of earth.

Substitute 5.98Ã—1024â€‰kg for ME , 6

(b)

To determine
The angular momentum of earth that arises from its orbital motion about the Sun.

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