What happens with the sea level due to the centrifugal acceleration?
Since the gravitational force is much greater than centrifugal force even at the equator, this is not the case.I think I got it. A sphere of freely flowing material in free-fall, such as a planet in formation, forms a shape reflecting the balance between internal gravity and centrifugal force from its rotation.
That is exactly backwards. Gravitation is greatest at the poles because (a) the poles are closer to the center of the Earth than is a point on the surface of the Earth at the equator and (b) there is no centrifugal force at the poles.So since the effective gravity is low at poles, the sea level is high and vice versa at equator. Am I right?
One way to look at sea level is that it is a constant potential energy surface, where the potential is that due to gravitation plus that due to centrifugal force.
Does that mean the potential energy is constant everywhere on the surface of the sea? or does that mean the earth's surface is in hydrostatic equilibrium?