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What happens with the sea level due to the centrifugal acceleration?

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What happens with the sea level due to the centrifugal acceleration?

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This sounds like a homework question. What do you think happens?

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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?

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Thank you DH. That was good explanation.

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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?

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Cleonis

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Whether potential energy is constant everywhere depends on how you choose between two options for defining potential energy for this case.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?

You can opt to define as follows (this is the usual choice): there is a constant potential energy if there is no tendency to drift away in a particular direction. Here on Earth there is no tendency to drift northward or drift southward. It follows that the effective potential is the same everywhere on Earth.

The other option is to compute the Newtonian gravity from first principles (which means you need to compute the newtonian gravity exerted by the reference ellipsoid). That gravitational potential is highest at the equator, and lowest at the poles.

At MIT, in the Atmosphere, Ocean and Climate Dynamics, students can

Another example is the parabolic shape of a mercury mirror for astronomic observations. Example: the

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