Earth orbits the sun once every 365.25 days. Find the average angular speed of Earth about the sun. Answer in units of rad/s.

Question

Earth orbits the sun once every 365.25 days. Find the average angular speed of Earth about the sun. Answer in units of rad/s.

Answer 1

One orbit around the sun means we travel through an angle of 360° or 2π radians so our angular velocity is (2π radians)/(1 year) but, since we need rad/s, we must convert 1 year to seconds:

So 2π/31557600 = 1.99 x 10^-7 rad/s