Physics exercise: Pressure in this Fresh Water Tank

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SUMMARY

The discussion focuses on a fluid statics problem involving a sealed fresh water tank where air is trapped between the water surface and the lid. Participants emphasize the importance of understanding the force acting at the center of pressure on the plate and the need for clear diagrams to visualize the scenario. The key concept is the relationship between pressure changes and volume changes due to the compression of air in the tank. A thorough description of the problem and a defined coordinate system are essential for accurate analysis.

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  • Fluid statics principles
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  • Diagramming techniques for fluid systems
  • Basic mechanics of gases and liquids
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Students studying fluid mechanics, engineers working with hydraulic systems, and anyone involved in pressure analysis in sealed environments.

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Homework Statement
The manhole cover of the fresh water tank is screwed on and the tank is filled to the indicated level. Determine the pressure at the bolts.
Relevant Equations
dF=P*dA ; H=550mm ; Varignon's Theorem
I did some of the exercise, but I don't know how to apply the momentum :'(

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Can you explain this some more. The lid is put on the tank (making a seal). The tank is initially filled with air, then water is pumped in, trapping a pocket of air between the water surface and the lid. Is that the scenario?

Or looking at your solution attempt a bit more, it looks like a fluid statics problem where you find the force acting at the center of pressure on the plate. Either way, I think you need clearer diagramming of where/how this plate is oriented on the tank.
 
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Not sure I understand the diagrams. Pls supply the full description of the problem and state your coordinate system.
 
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erobz said:
Can you explain this some more. The lid is put on the tank (making a seal). The tank is initially filled with air, then water is pumped in, trapping a pocket of air between the water surface and the lid. Is that the scenario?
I think that's what's happening. The air is compressed, so the solution is to find the change in pressure given the corresponding change in volume.
 

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