Calculate the ratio of the angular momentum of the earth about its axis due to its spinning motion to that about the sun due to its orbital motion. Radius of the earth = 6400 km and radius of the orbit of the earth about the sun = 1.5 x 10 8 km.

Question

Philoid · Accepted Answer

The ratio of the angular momentum of the earth about its axis due to its spinning motion to that about the sun due to its orbital motion is

Given

The radius of the earth is and radius of the orbit of earths revolution is given as

Formula used

The formula for the angular momentum is the product of the moment of inertia with the angular velocity of the planet that is revolving around or the orbit

where

L is the angular momentum, I is the moment of Inertia, is the angular velocity.

Explanation

The angular momentum of earth is

And the value of moment of inertia of earth is

Now the value of the sun’s average mass is

Calculating ratio of the mass of sun and the mass of earth we get the value

Calculate the ratio of the angular momentum of the earth about its axis due to its spinning motion to that about the sun due to its orbital motion. Radius of the earth = 6400 km and radius of the orbit of the earth about the sun = 1.5 x 108 km.

Calculate the ratio of the angular momentum of the earth about its axis due to its spinning motion to that about the sun due to its orbital motion. Radius of the earth = 6400 km and radius of the orbit of the earth about the sun = 1.5 x 10⁸ km.