The spinning Earth

The Earth is, to a good approximation, a big sphere of radius R = 6.37 x 106 meters. It spins around its central axis.

  1. What is the angular velocity of the Earth? Provide both magnitude and direction.
  2. What is the linear speed of a person standing on the equator, relative to the center of the Earth?

We live in Rochester, NY, at a latitude of +37 degrees. As a result, we travel in a somewhat smaller circle as the Earth rotates each day.

  1. What is the linear speed of a person standing at Rochester, relative to the center of the Earth?