   Chapter 10, Problem 36PE

Chapter
Section
Textbook Problem

# (a) Calculate the angular momentum of the Earth in its orbit around the Sun.(b) Compare this angular momentum with the angular momentum of Earth on its axis.

(a)

To determine

Angular momentum of earth in its orbit around the sun.

Explanation

Given:

Mass of earth =M=5.98×1024kg

Radius of orbit of earth around the sun =r=1.5×1011m

Moment of inertia of earth around sun =I

Time period of earth around sun =T=365days=365×24×60×60sec=3.2×107sec

Angular velocity of earth in the orbit around sun =w

Angular momentum of earth in the orbit around sun =L

Formula Used:

Angular velocity is given as

w=2πT

Moment of inertia of object is given as

I =Mr2

Angular momentum is given as

L = Iw

Calculation:

Angular velocity of earth in orbit around sun is given as

w=2πT

Inserting the values

w=2(3.14)(3.2×107)w=1

(b)

To determine

Angular momentum of earth in its orbit around it.

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