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Say you have a cylinder of radius r with πr^{2}h liters of water in it. If you put it on some sort of turntable and spin it with an angular velocity ω, is there a way to tell what the shape of the water will be? I mean, if you look at the cross section will you be able to find out if it forms for example, a parabola?

This isn't a homework problem or anything, I'm just curious. Thanks for your help.

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# Centrifugal Force and shape of water

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