Fluid mechanics - pressure, area, force question

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SUMMARY

The discussion centers on the application of pressure in fluid mechanics, specifically regarding a piston subjected to a pressure of 25 PSI from a pump. It concludes that the force exerted by the pressure on the curved surface of the piston will indeed counteract the downward force applied on the top of the piston. The analysis indicates that integrating the vertical force components across the curved surface yields a force equivalent to that on a flat surface, confirming the principles of pressure and force equilibrium in fluid systems.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with pressure calculations in PSI
  • Knowledge of force equilibrium concepts
  • Ability to perform integration of force components
NEXT STEPS
  • Study the principles of Pascal's Law in fluid mechanics
  • Learn about pressure distribution on curved surfaces
  • Explore the concept of force equilibrium in hydraulic systems
  • Investigate integration techniques for calculating forces in fluid systems
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Students and professionals in engineering, particularly those specializing in fluid mechanics, hydraulics, and mechanical design, will benefit from this discussion.

italia458
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I have a question based on this little diagram I whipped up!

http://i.imgur.com/2sLeQ.jpg

Will the 25 PSI (generated by a pump) applied to the curved surface on the bottom of the piston exert a higher force upwards to oppose the downward force on top of the piston?

A detailed explanation would be fantastic!

Thanks!
 
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You can integrate the vertical force components across the curved surface and find it equal to the flat one.
 

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