Physics of spring airgun cylinder system?

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SUMMARY

The discussion focuses on calculating the pressure in a spring airgun cylinder system when a force of 550 Newtons is applied. The system's total volume is 37,464 mm³, with the piston volume at 24,543 mm³ and the barrel volume at 12,921 mm³. The user seeks to understand the relationship between force, area, and pressure, specifically noting that pressure can be calculated as force divided by piston area when the force is applied at the end of the stroke. The gas inside the system is at sea level atmospheric pressure.

PREREQUISITES
  • Understanding of basic physics principles, specifically pressure calculations.
  • Familiarity with CAD software for drafting designs.
  • Knowledge of volume measurements in cubic millimeters (mm³).
  • Basic mechanical engineering concepts related to pneumatic systems.
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  • Research the ideal gas law and its application in pneumatic systems.
  • Learn how to calculate piston area from diameter measurements.
  • Explore advanced CAD techniques for designing pneumatic components.
  • Study the effects of atmospheric pressure on gas behavior in closed systems.
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This discussion is beneficial for mechanical engineering students, CAD designers, and hobbyists interested in pneumatic systems and airgun design.

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So recently I became more interested in CAD and i found myself drafting designs for spring airguns cylinders ect. All of-course meaningless given that I have zero understanding of the math behind the design. I am no Mechanical engineer, I am a business student so if I am getting into advanced stuff here let me know but I still intend on giving it my best..

/end rant/

Essentially I would like to understand how to calculate the pressure in a system when a Force of 550 Newtons is applied to it.

System volume: 37464
Piston(Right Cylinder) Volume: 24543 mm
Barrel(Right Cylinder) Volume: 12921mm
Change in Volume at piston peak: 24543

The gas inside the system is at sea level atmospheric pressure

I have also attached an image for reference!

if I am leaving anything out please let me know and Ill attempt to elaborate more!
ip47l2.jpg
 
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If the 550N force is the force at the end of the stroke then the pressure is simply force divided by piston area.
 

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