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Flow of Liquid through a Hole

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The velocity of liquid escaping from a hole increases as the height of the hole decreases. This follows from Bernoulli's theorem. What can you say about the maximum distance that the liquid reaches along the floor as you vary the height?

Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA

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The velocity of the liquid is equal to , where is the acceleration due to gravity and and are the heights of the hole and the tank.

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