   Chapter 8, Problem 63P

Chapter
Section
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 5.98×1024kg , the radius of earth is 6.38×106m , and the period of earth is 8.64×104s .

Explanation: The angular speed of the earth is ωE=2π/T and the angular momentum of the earth by its spinning motion can be defined as Lspin=IsphereωE=[(2/5)MERE2ωE] .

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

Lspin=45πMERE2T

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

Substitute 5.98×1024kg for ME , 6

(b)

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

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