(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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Calculate the magnitude of the angular momentum of the earth

**Physics Forums | Science Articles, Homework Help, Discussion**