Calculation of movement caused by a change in pressure

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SUMMARY

The discussion centers on calculating the movement of an uninflatable closed cube connected to a chamber at a constant pressure of 6 bar, which opens to a room at 1 bar. When a small section of the cube's bottom opens, the pressure differential creates a force that influences the cube's movement. The relevant equations include the ideal gas law (PV = constant) and the force equation (F = PA), which are essential for determining the resulting force and direction of movement.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of pressure differentials
  • Familiarity with the ideal gas law (PV = constant)
  • Basic mechanics involving force calculations (F = PA)
NEXT STEPS
  • Research fluid dynamics and pressure differentials in closed systems
  • Study the application of the ideal gas law in real-world scenarios
  • Explore force calculations in varying pressure environments
  • Learn about the behavior of gases under different pressure conditions
USEFUL FOR

Students in physics or engineering, educators teaching fluid dynamics, and anyone interested in the principles of pressure and movement in closed systems.

LPChester
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Homework Statement


Imagine you have an unflatable closed cube (z x z x z) which is connected to a chamber with a constant pressure of 6 bar (so the pressure in the box is also 6 bar). The box is hanging on a wire in a room in which the pressure is 1 bar. At t=0 a small part of the bottom of the cube opens (a x a x a , a < z). What is the force on the box and in what direction will it move?

Homework Equations


Sorry, but i have no idea. I tried using the standard PV = Cte and F=PA, but without any result so far

The Attempt at a Solution

 
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unflatable = inflatable?
 

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