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Statement of a problem № 3557

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A cylindrical vessel with water is rotated about its vertical axis with a constant angular velocity w. Show that (a) the water pressure distribution along its radius is given by P = P0 + 1/2 sw^2 r^2, where s is the density of water and P0 is the pressure at the central point. (b) Show that the figure of revolution of water is a paraboloid.

Solution:
A cylindrical vessel with water is rotated about its vertical axis with a consta

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