Calculate Pressure Applied on Fluid by Piston Cylinder Arrangement

In summary, the conversation discusses the application of a force through a piston cylinder arrangement that results in a uniform pressure on the fluid. The question is whether the fluid pressure will be equal to the applied force. The answer is yes, if it is a quasistatic process and at the top of the fluid. However, at depths below the surface, a ρgh term must be added due to the weight of the fluid. In a no gravity situation, the verdict is still true and this is essentially how hydraulics work, following Pascal's principle.
  • #1
dE_logics
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0
In this attached image, a force is applied through a piston cylinder arrangement of cross section 1 cm...this force is uniformly distributed throughout the 1cm wide piston...so there's a certain pressure (x) that it poses on the fluid.

Will the fluid pressure under action of this force be = x?

Though it obviously should be, but I see some major advantages of this arrangement, that's why I'm asking.
 

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  • #2
It will, if it's a quasistatic process.
 
  • #3
dE_logics said:
Will the fluid pressure under action of this force be = x?
At the top of the fluid, yes. At depths below the surface, you'll need to add a ρgh term due to the weight of the fluid.
 
  • #4
defunc said:
It will, if it's a quasistatic process.

It's not a process, it's a state.
 
  • #5
Doc Al said:
At the top of the fluid, yes. At depths below the surface, you'll need to add a ρgh term due to the weight of the fluid.

Assume no gravity situation.

Verdict:Yes it's true.
 
  • #6
Yes, this is essentially how hydraulics work.
 
  • #7
dE_logics said:
Verdict:Yes it's true.
Yes, this is Pascal's principle.
 
  • #8
Ok, thanks a lot everyone!
 

1. How do you calculate the pressure applied on a fluid by a piston-cylinder arrangement?

To calculate the pressure applied on a fluid by a piston-cylinder arrangement, you can use the formula P = F/A, where P is the pressure, F is the force applied by the piston, and A is the cross-sectional area of the piston.

2. What factors affect the pressure applied on a fluid in a piston-cylinder arrangement?

The pressure applied on a fluid by a piston-cylinder arrangement is affected by several factors, including the force applied by the piston, the cross-sectional area of the piston, the volume of the fluid, and the temperature of the fluid.

3. Can the pressure applied on a fluid in a piston-cylinder arrangement be increased?

Yes, the pressure applied on a fluid in a piston-cylinder arrangement can be increased by increasing the force applied by the piston, decreasing the cross-sectional area of the piston, or decreasing the volume of the fluid.

4. How does the pressure applied on a fluid change as the piston moves?

The pressure applied on a fluid in a piston-cylinder arrangement changes as the piston moves. As the piston moves, the volume of the fluid changes, which causes the pressure to either increase or decrease depending on the direction of the piston's movement.

5. What is the significance of calculating the pressure applied on a fluid in a piston-cylinder arrangement?

Calculating the pressure applied on a fluid in a piston-cylinder arrangement is important for understanding the behavior of fluids in closed systems. It can also be used in various engineering applications, such as designing hydraulic systems and analyzing the performance of engines.

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