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## Homework Statement

A cylindrical container of water with a radius of 6.0 cm is placed on a phonograph turntable so that its outer edge just touches the outer edge of the turntable. The radius of the turntable is 14.5 cm, and the turntable rotates at 33 and a 1/3 revolutions per minute. How much is the water depressed in the centre compared to the outer edge of its container?[/B]## Homework Equations

gz − 1/2 ω^{2}(x

^{2}+ y

^{2}) = constant[/B]

## The Attempt at a Solution

I know that x^{2}+y

^{2}is equal to the radius squared. I think from my notes it's equal to the radius squared of the water in the container. So plugging this in, and omega I calculated to be 3.49 rad/s, I get a height of 0.0022 m. I'm not sure where to go from here though.[/B]