Calculating Air Compliance & Cylinder Volumes with Weight

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    Air Compliance
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Discussion Overview

The discussion revolves around the concept of compliance in relation to air volume and the calculation of cylinder volumes when subjected to weight. It includes theoretical considerations of compliance, compressibility of gases, and mathematical modeling of pressure effects in a cylinder.

Discussion Character

  • Exploratory, Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant questions whether the compliance of a spring can be compared to a specific volume of air, seeking to establish a relationship between spring compliance and air volume.
  • Another participant notes that only condensed matter can exhibit compliance, while gases exhibit compressibility, suggesting a distinction in behavior between the two states of matter.
  • A participant expresses gratitude for the clarification on the first question and indicates that the compressibility equation may assist in addressing the second question regarding pressure applied by weight on the air in the cylinder.
  • There is a suggestion that providing calculations could lead to more helpful feedback from others in the discussion.
  • A participant references an attachment related to finding a specific height in the context of the cylinder and standard conditions, indicating a practical application of the theoretical concepts discussed.

Areas of Agreement / Disagreement

Participants appear to have differing views on the applicability of compliance to gases versus solids, with some agreeing on the distinction while others explore the implications of compliance in the context of air volume.

Contextual Notes

There are unresolved assumptions regarding the definitions of compliance and compressibility, as well as the specific conditions under which the calculations are to be made. The mathematical steps related to the pressure calculation in the cylinder remain unspecified.

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" .
 
Last edited by a moderator:
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
 

Attachments

Last edited:

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