Question: A cylindrical vessel with water is rotated about its vertical axis with a constant angular velocity . Find: (a) The shape of the free surface

A cylindrical vessel with water is rotated about its vertical axis with a constant angular velocity ω. Find:
(a) The shape of the free surface of the water;
(b) The water pressure distribution over the bottom of the vessel along its radius provided the pressure at the central point is equal to Po.

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