How Does a Hydro-Pneumatic Shock Absorber Respond to Impact in Thermodynamics?

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SUMMARY

The discussion focuses on the calculation of the final pressure and stroke of a hydro-pneumatic shock absorber when a 2-tonne train impacts it at a speed of 5 m/s. Utilizing the equation PV^gamma=C, the initial volume was determined to be 1.57 m³, and the final results were calculated as a stroke of 408 mm and a pressure of 8.12 bar. The assumption of adiabatic compression was confirmed as valid for this scenario, allowing for the conversion of the train's momentum into kinetic energy for further calculations.

PREREQUISITES
  • Understanding of hydro-pneumatic systems
  • Familiarity with thermodynamic principles, specifically adiabatic processes
  • Knowledge of pressure-volume relationships in gases
  • Basic mechanics, including momentum and kinetic energy calculations
NEXT STEPS
  • Study the principles of adiabatic compression in gases
  • Learn about the application of the ideal gas law in dynamic systems
  • Explore the calculation of kinetic energy and its conversion in mechanical systems
  • Investigate the design and function of shock absorbers in rail systems
USEFUL FOR

Mechanical engineers, students studying thermodynamics, and professionals involved in rail transport systems will benefit from this discussion.

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Homework Statement



A buffer at the end of a rail track consists of a hydro-pneumatic shock absorber. The gas chamber of the absorber has an cylindrical geometry consisting of a length of 800mm and 0.5 m diameter and a pressure of 5 bar. Calculate the final pressure and stroke if a 2 tonne train hits the buffer at 5 m/s

Answers: (408 mm, 8.12 bar)


Homework Equations



PV^gamma=C

The Attempt at a Solution



I've worked the initial volume to be 1.57m^3, but other than that I'm not sure how to go about the question. I'm assuming that the compression is adiabatic? Is this a correct assumption? Also how to I convert the momentum of the train into something I can use to calculate the answers?

Thanks for any help!
 
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Oh snap. Just realized I can turn it into kinetic energy haha, Ill try that
 

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