Statistical Physics: Pressure Diff. in Moving Cylinder

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SUMMARY

The discussion centers on calculating the pressure difference in a cylindrical spaceship experiencing deceleration. The key equation involves the factor e^{E/kT}, where E represents work done (W=Fx). Participants highlight the importance of considering air density changes and mass conservation in the analysis. The suggestion to utilize the hydrostatic pressure equation dp=ρgdh is also presented as a simpler alternative to statistical physics methods.

PREREQUISITES
  • Understanding of statistical physics concepts, particularly partition functions.
  • Familiarity with hydrostatic pressure equations, specifically dp=ρgdh.
  • Knowledge of thermodynamic principles, including thermal equilibrium.
  • Basic mechanics, particularly concepts of force and acceleration.
NEXT STEPS
  • Study the derivation and application of the partition function in statistical mechanics.
  • Explore hydrostatic pressure calculations in fluid dynamics.
  • Investigate the relationship between density, temperature, and pressure in gases.
  • Learn about the implications of mass conservation in dynamic systems.
USEFUL FOR

Students and professionals in physics, particularly those focusing on statistical mechanics and fluid dynamics, as well as engineers working with aerospace applications.

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Homework Statement


A spaceship that is cylindrical of area A and Length L decelerates at a constant rate a. The air treated. What is the difference in pressure due to the motion from the front to the back of the ship. The acceleration is parallel to L and air was in thermal equilibrium.

Homework Equations


The Attempt at a Solution


I believe intuitively there should be a factor e^{E/kT} where E=W=Fx=max. I think I might need to calculate the partition function but it might not be necessary like when calculating V_{rms} in passive circuit.
 
Last edited:
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Your feeling is correct. Just remember that the density of the air will also scale that way, but you need to conserve mass/number.
 
Do you need statistical physics here? Why not use dp=ro*g*dh?
 

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