Air Cannon Physics: Pot. Energy & Barrel Depth

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SUMMARY

The discussion focuses on the physics of air cannons, specifically examining the relationship between chamber pressure, barrel length, and projectile depth on muzzle velocity. Key equations include those for potential energy of compressed air and the force exerted by air pressure differences. The user, identified as physicsisrad, seeks assistance in identifying relevant equations and background theory for pre-testing calculations related to these variables.

PREREQUISITES
  • Understanding of potential energy equations related to compressed gases
  • Knowledge of pressure differentials and their effects on force
  • Familiarity with projectile motion principles
  • Basic grasp of fluid dynamics concepts
NEXT STEPS
  • Research the equation for potential energy of compressed air in a volume
  • Study the effects of barrel length on projectile velocity in air cannons
  • Explore the relationship between pressure differentials and force exerted on projectiles
  • Investigate the impact of projectile depth in the barrel on muzzle velocity
USEFUL FOR

Students in physics, engineers designing pneumatic systems, and hobbyists building air cannons will benefit from this discussion.

physicsisrad
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Homework Statement


Hey guys, I'm currently working on an air cannon for my physics assignment. We are attempting to determine the effects of chamber pressure, barrel length and the depth of the projectile into the barrel on the muzzle velocity of the fired object. Now I'm not asking for a solution, but I am struggling to find the relevant equations that I require in order to do some pre-testing calculations. If somebody could help me out in regards to the equation for the potential energy held by a volume of compressed air and also if somebody could offer some background theory in regards to the depth of the object into the barrel this would also be appreciated.
Cheers,
physicsisrad


Homework Equations





The Attempt at a Solution

 
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Why not deal with this problem using pressures? In particular, the pressure of the air inside the barrel versus the pressure outside the barrel (atmospheric). This will determine the amount of force the air will exert on the object, dependent upon of course the objects exposed surface area.
 

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