How to Find Pressure at Various Points in a Liquid-Filled Tank with a Tube?

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SUMMARY

The discussion focuses on calculating pressure at various points in a liquid-filled tank using Bernoulli's equation and the continuity equation. The tank is filled to a depth h1 with a liquid of mass density p, and atmospheric pressure po acts on the liquid surface. A tube with a cross-sectional area S expands to 2S while bending to height h4, where fluid exits at velocity v. The pressure at points 1, 2, 3, and 4 can be determined by applying these principles systematically.

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  • Understanding of Bernoulli's equation
  • Knowledge of the continuity equation
  • Familiarity with fluid dynamics concepts
  • Basic principles of pressure and density in liquids
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  • Learn how to derive and apply the continuity equation
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Homework Statement


A tank is filled to the depth h1 with a liquid with mass density p Over the liquid surface is an atmospheric pressure po. From the bottom of the tank there`s a tube with cross-sectional area of ​​S. Tube expands to double cross-sectional area 2S while bending up to the height h4. Out of the pipe the fluid flows with velocity v.

Find the pressure in 1, 2, 3 and 4


Please help on getting started?
 

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Use Bernoulli's equation and continuity equation.
 

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