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Liquid in a Rotating Cylinder

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The surface of a liquid in a rotating cylinder of radius with its axis in the direction of gravity takes the form of a paraboloid of revolution. One of the contour levels of this surface stays at the same height for all angular velocities. This contour level is a circle of radius .

Contributed by: Bernard Vuilleumier (March 2011)
After work by: Pascal Rebetez
Open content licensed under CC BY-NC-SA

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Reference: P. Rebetez, "Surface d'un liquide en mouvement circulaire uniforme".

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