Pressure in Water Pipe at h=4ft: Solve the Puzzle

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SUMMARY

The discussion focuses on determining the pressure in a water pipe when the water level reaches a height of h=4ft above the center of the pipe. The key formula for calculating pressure in this scenario is P = ρgh, where ρ is the density of water, g is the acceleration due to gravity, and h is the height. The conversation highlights the need for additional information, such as the pipe's diameter and orientation, to arrive at a definitive numerical answer. It emphasizes the importance of understanding fluid statics and the assumptions required for solving such problems.

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  • Fluid statics principles
  • Understanding of pressure calculations in liquids
  • Knowledge of the formula P = ρgh
  • Basic concepts of density and gravity
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Engineers, physics students, and anyone involved in fluid mechanics or plumbing design will benefit from this discussion, particularly those looking to deepen their understanding of pressure dynamics in liquid transport systems.

JoeS4
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A tube can be inserted into the top of a pipe transporting liquids, providing the pressure is relatively low, so that the liquid fills the tube at height h. Determine the pressure in a water pipe if the water seeks a level at height h=4ft above the center of the pipe.

I'm asking you guys if there is a definite answer to this problem. There seems to be insufficient information such as the diameter of the pipe. Plus, is the pipe horizontal or vertical? I'm guessing horizontal due to it "transporting liquids".

Would the answer just be a simplified version of the formula incorporating the 4ft? If not, what am I missing?
 
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Anybody?

I'm not looking for an answer, just a clarification.
 
Since there's no diameter of a pipe given or any other specific information, you could assume that it's just an open volume at rest where the pressure is given by P = rho*g*h. To get an actual number value, you'd have to assume it's on Earth and the desity is that of water at 1atm. However, I'm assuimg it's hinting at fluid statics since it states that a tube can be inserted into another one and it increases the level of water, but it does state "transporting", which suggests dynamic movement.

Example aside, it's just asking for an explanation like that. State the relationship and assumptions to be made. It's just getting you to think about the situation. In other words, what will I need to solve this problem.
 
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