Question

The radial component of centripetal acceleration at poles of earth is

Answer 1

why is the centripetal acceleration in the poles and equator if different? I know that it's related to Equatorial budge. But what I don't get it is that the centripetal force is zero at the poles. There's still radius and angular velocity at the pole right, so why is it zero? And at the equator, the centripetal force is acting in the opposite direction of the gravitational force. Centripetal force should always directed to the center. Hence, why wouldn't it be in the same direction as the gravitational force?

Answer 2

Answer for this question is zero. If centripetal force act on the poles everything will sink to the center of the earth or to the equator.