Calculate the magnitude of the angular momentum of the earth in a circular orbit around the sun. mastering

The angular momentum of the Earth around the Sun is given by:

where 
m is the Earth's mass
is the Earth's angular velocity
r is the average distance of the Earth from the Sun

The Earth takes 365 days to make a complete revolution around the Sun, which corresponds to

A complete revolution corresponds to , therefore the Earth's angular velocity is


The average distance of Earth from the Sun is 149.6 million km:


And the Earth's mass is , therefore its angular momentum is