Calculating Air Compliance & Cylinder Volumes with Weight

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SUMMARY

The discussion focuses on calculating the compliance of air in relation to a spring's compliance of 1mm/N and determining the volume of a cylinder filled with air under standard conditions when a weight is applied to a piston. It is established that gases exhibit compressibility, which is essential for solving the second question regarding the volume reduction (v') when weight (w) is placed on the piston. The compressibility equation is highlighted as a key tool for these calculations, providing a foundation for further analysis.

PREREQUISITES
  • Understanding of spring compliance and its measurement in mm/N.
  • Knowledge of gas compressibility and its implications in physics.
  • Familiarity with basic principles of fluid mechanics, particularly related to pistons and cylinders.
  • Ability to apply mathematical equations to calculate pressure and volume changes in gases.
NEXT STEPS
  • Study the compressibility equation in detail to understand its application in gas behavior.
  • Learn how to calculate pressure exerted by weights on gases in confined spaces.
  • Explore the relationship between volume, pressure, and temperature in gases using the Ideal Gas Law.
  • Investigate practical applications of compliance in engineering, particularly in pneumatic systems.
USEFUL FOR

Students and professionals in physics, mechanical engineering, and anyone involved in the design or analysis of pneumatic systems will benefit from this discussion.

BSatish
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1. Can the compliance of spring be specified/compared to a particular volume of air. If so then what would the volume of air with the same compliance as a spring of compliance 1mm/N on its support.

2. Considering a cylinder(filled with air under standard conditions) with a piston(radius = r) at one end, can the volume of the cylinder be calculated if the volume reduces by (v') when a weight (w) is placed on the piston. What would the equation be.
 
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Hi BSatish, welcome to PF. Only condensed matter can exhibit a certain compliance. Gases exhibit a certain http://en.wikipedia.org/wiki/Compressibility" .
 
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Thanks Mapes, your answer resolves question 1 and gives me a platform to work on question 2.
Using the compressibility equation I think Q.2 can be worked out. How much pressure would weight (w) apply on the air in the cylinder.
 
If you show your calculations, you'll likely get useful comments.
 
As you can see in the attachment I need to find h considering a cylinder and standard conditions
 

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