Calculate the centrifugal acceleration, due to Earths rotation, on a particle on the surface of Earth at

Question:

Calculate the centrifugal acceleration, due to Earth’s rotation, on a particle on the surface of Earth at the equator. Compare this result with the gravitational acceleration. Compute also the centrifugal acceleration due to the motion of Earth about the Sun and justify the remark made in the text that this acceleration may be neglected compared with the acceleration caused by axial rotation.