(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Calculate the magnitude of the angular momentum of the earth considered as a particle orbiting the sun. The mass of the earth is 5.97 x 10^24kg . Treat it as moving in a circular orbit of radius 1.50 x 10^11m at a speed of 2.98 x 10^4m/s

3. The attempt at a solution

I first try to find the moment of Inertia of the earth, I. I treated the earth as a solid sphere so

I=2/5(5.97 x 10^24kg)(1.50 x 10^11m)^2

= 5.373 x 10^46 kgm^2

I then found the angular velocity of the earth by

V=[tex]\omega[/tex]r

2.98 x 10^4m/s/1.50 x 10^11m=[tex]\omega[/tex]

[tex]\omega[/tex]=0.000000199 rad/sec

Then

L=I[tex]\omega[/tex]

L=(5.373 x 10^46 kgm^2)(0.000000199 rad/sec)

L=1.069227 x 10^40 kg*m^2/s ?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Calculate the magnitude of the angular momentum of the earth

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