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Air pressure in a closed tank & speed of water at nozzle

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See attached .gif file.

In a very large closed tank, the absolute pressure of the air above the water is 5.46 x 105 Pa. The water leaves the bottom of the tank through a nozzle that is directed straight upward. The opening of the nozzle is 9.91 m below the surface of the water.

(a) Find the speed at which the water leaves the nozzle.

(b) Ignoring air resistance and viscous effects, determine the height (relative to the submerged end of nozzle) to which the water rises.

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Solution Summary

The expert examines air pressure in a closed tank and speed of water at nozzles.

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Rearrange Bernoulli equation to :

P1-P2 + dg(h1-h2) = (1/2) d (v22 - v12)

Reference point : nozzle location
d = density of water = 1000 kg/m3
P1 = pressure at the surface of water = 5.46 x 105 Pa
P2 = pressure as water ...

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