Archimedes' principle and the column of water

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Discussion Overview

The discussion revolves around the application of Archimedes' principle in a scenario involving a smaller container submerged in water and the dynamics of fluid displacement when liquid is released from a height. Participants explore whether the volume of displaced water corresponds to the volume of the smaller container or if other factors, such as the height of the water column, affect this relationship.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions if the volume of displaced water will equal the volume of the smaller container according to Archimedes' principle, considering the effects of height and resistance from the water column.
  • Another participant argues that the question pertains more to the incompressibility of water rather than Archimedes' principle.
  • A participant reiterates concerns about the height of the water column and its potential impact on the volume of water released.
  • Further clarification is sought regarding the mass of the piston and its role in maintaining the water column height, suggesting that this detail is crucial for understanding the scenario.
  • One participant notes that when the smaller container is lowered onto the piston, it will exert a downward force, pushing water out of the tube, while the pressure at the bottom remains constant at 2 meters of water.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of Archimedes' principle versus the incompressibility of water, indicating that multiple competing perspectives exist without a clear consensus on the primary factors at play.

Contextual Notes

There are unresolved questions regarding the specifics of the system, such as the mass of the piston and its constraints, which may influence the outcomes discussed.

abrek
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If you assemble the structure shown in the picture into a large container of water, lower the smaller container onto a special movable platform (red). Will the volume of displaced water be equal to the volume of the smaller container (M) according to Archimedes’ principle, or will the fact that the release of liquid occurs at a height, the water column will create resistance and less water will come out in volume?
 

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The question has nothing to do with the Archimedes principle. It has to do with the incompressibility of water.
 
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abrek said:
.. will the fact that the release of liquid occurs at a height, the water column will create resistance and less water will come out in volume?
What do you think, and why?

Note that the "special movable platform (red)" shown in the initial condition must be physically restricted by its cylinder from moving up due to the static pressure created by the 2-meter column.
 
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^^^^... as well as in the final condition.
 
I think the far left hand diagram needs some explanation. Does the red (lets call it a) piston have precisely the correct mass to keep the vertical column at 2m or is it restrained from rising?; this must be specified before going any further.

When M is lowered onto the piston, it will add a force downwards on the piston and water will be pushed out of the tube. The pressure at the bottom of the tube will always be 2m's worth whilst the tube is full.

I really don't know where this is going without more information.
 

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