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

AI Thread Summary
A hydro-pneumatic shock absorber at the end of a rail track is analyzed for its response to a 2-tonne train impacting at 5 m/s. The gas chamber has a cylindrical shape with a length of 800 mm and a diameter of 0.5 m, initially at 5 bar pressure. The final calculations yield a stroke of 408 mm and a pressure of 8.12 bar. The discussion includes considerations of adiabatic compression and converting the train's momentum into kinetic energy for calculations. The focus is on understanding the thermodynamic principles governing the shock absorber's behavior during impact.
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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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