What Happens When a Piston is Added to a Cylinder in Pascal's Law Experiment?

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Homework Help Overview

The discussion revolves around a curiosity question related to Pascal's Law and the implications of adding a piston to a cylinder within that context. Participants explore the effects of pressure and weight in a fluid system, questioning how these factors interact in a real-world scenario.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the implications of Pascal's Law, particularly whether the pressure on both sides of the piston would remain equal. There are inquiries about the effects of the weight of the water in one cylinder and how it influences the movement of the piston.

Discussion Status

The conversation is ongoing, with participants offering different perspectives on the behavior of the piston. Some have suggested that the weight of the water impacts the piston, while others are questioning the assumptions made about pressure equilibrium. A participant has introduced a new perspective on the forces acting on the piston, indicating that the discussion is evolving.

Contextual Notes

Participants are navigating the complexities of fluid dynamics and pressure, with some expressing confusion about the practical implications of theoretical principles. The original poster emphasizes their non-student status, framing the inquiry as a curiosity rather than a homework assignment.

Baxidur
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Hi

First off I'm not a student, this is purely a curiosity question

In pascals law classic drawing if you added a piston inside one of the cylinders what would happen?

I've added a drawing to clarify

I'm totally split on what the answer is, Pascals law seems to state the pressure on both sides of the piston will be equal, but real life seems to say the weight of the water in B will push the piston down

Thanks in advance for any help
 

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Hi Baxidur! :smile:
Baxidur said:
… real life seems to say the weight of the water in B will push the piston down

is the weight of the water in B pushing anything else down? :wink:
 
Not that I can see
 
What about the bottom of the tank (on either side of the downpipe)? :wink:
 
Baxidur said:
Hi

First off I'm not a student, this is purely a curiosity question

In pascals law classic drawing if you added a piston inside one of the cylinders what would happen?

I've added a drawing to clarify

I'm totally split on what the answer is, Pascals law seems to state the pressure on both sides of the piston will be equal, but real life seems to say the weight of the water in B will push the piston down

Thanks in advance for any help

Neither of your hypotheses is correct. The piston will not move downward, and the piston will not stay stationary. There is a third choice, and this is the correct answer.

The upward pressure on the bottom of the piston is initially higher than the downward pressure on the top of the piston. Since the piston has no weight (and there is no friction), there will be a net force on it. The liquid in column A will move downward (and the piston will move upward) until the pressures on the top and bottom of the piston are equilibrated.

Chet
 

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