By considering the isobars surfaces of constant pressure of, Mechanical Engineering

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By considering the isobars surfaces of constant pressure of

Newton's bucket A bucket half full of water is made to rotate with angular speed about its axis of symmetry, which is vertical. Find, to within a constant, the pressure field in the fluid.

By considering the isobars (surfaces of constant pressure) of this pressure field, find the shape of the free surface of the water. What would the shape of the free surface be if the bucket were replaced by a cubical box?

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