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The slope of water surface in a rotating cylinder

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When a cylinder with radius R (m) rotates with angular velocity ¥ø (rad/s), the slope of the water surface at a distance x from the center of rotation is as follows.

Rotational acceleration: a = ¥ø^2*x
Gravity acceleration: g

Slope of the water surface: tan¥è = ¥ø^2*x/g

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tan¥è = ¥ø^2*x/g
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