Reaction/Kick Load Calculation

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SUMMARY

The calculation of reaction or kick load for a cannon or mortar involves several key parameters: Projectile Mass (Mp), Max Pressure Output of the initiator/gas generator (Pg), Stroke Length (Ls), and Surface Area of the projectile where force is applied (As). The fundamental equations to consider include F=ma for force and KE=1/2mv^2 for kinetic energy. The discussion emphasizes the importance of understanding gas expansion dynamics, particularly in an adiabatic process, which affects pressure changes during projectile launch.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of kinetic energy calculations (KE=1/2mv^2)
  • Familiarity with gas dynamics and adiabatic processes
  • Basic principles of projectile motion and forces
NEXT STEPS
  • Research the principles of gas expansion in adiabatic processes
  • Study the effects of pressure on projectile motion
  • Explore advanced dynamics of cannon and mortar systems
  • Learn about computational fluid dynamics (CFD) for projectile analysis
USEFUL FOR

Engineers, physicists, and students involved in ballistics, mechanical engineering, or any field requiring the calculation of forces in projectile motion.

faraz56
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Homework Statement


How would you calculate the reaction / kick load of a cannon / mortar with a Projectile Mass "Mp", Max Pressure Output of initiator/gas generator "Pg", Stroke Length "Ls", and Surface Area of the projectile where force is applied "As"?


Homework Equations





The Attempt at a Solution


I have been trying this with basic F=ma and KE=1/2mv^2, but haven't been successful in coming close to the answer.

Can someone aid in developing formula / solving this problem?
 
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I was just wondering - if Pg is max.pressure then the expansion of the gas should result in decrease in pressure, preferably and adiabatic process since it is so rapid. Then the nature of the gas would be important too.
 

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