Developing a Softball Trajectory Model With Pneumatic Piston

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SUMMARY

The discussion focuses on developing a mathematical model to calculate the speed of a softball when struck by a pneumatic piston. The specifications include a ball weight of 188 grams and an applied force ranging from 170 to 500 pounds. The foundational equation for this model is Newton's second law, expressed as f = ma, where 'f' represents the applied force, 'm' is the mass of the ball, and 'a' is the acceleration. This model will serve as a component in a larger computational framework.

PREREQUISITES
  • Understanding of Newton's second law of motion (f = ma)
  • Basic knowledge of pneumatic systems and their mechanics
  • Familiarity with unit conversions, particularly between pounds and grams
  • Mathematical modeling techniques for physical systems
NEXT STEPS
  • Research pneumatic piston mechanics and their force application
  • Explore unit conversion methods between imperial and metric systems
  • Study the principles of mathematical modeling in physics
  • Investigate simulation tools for modeling projectile motion
USEFUL FOR

This discussion is beneficial for mechanical engineers, physics students, and anyone involved in sports science or equipment design, particularly those interested in modeling the dynamics of ballistics in sports.

JayDavis
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I am a hack at this, so I am turning to you guys for help.

I need to develop a mathematical model do generate the speed of a softball when struck with differing amounts of force.

The specs are:
weight of ball 188g
applied force 170 lb to 500 lb

The force is applied by a pneumatic piston that strikes the ball.

How do I do this?

The end result will be fed into a larger computation.
 
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Start off by writing f = ma for the ball.
 

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