Archimedes' principle and the column of water

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In summary, Archimedes' principle states that an object submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces. This principle can be illustrated using a column of water, where the height of the column correlates with the pressure exerted at the base due to the weight of the water above it. This relationship helps explain how objects float or sink in fluids, depending on their density relative to the fluid.
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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.
 
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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.
 

FAQ: Archimedes' principle and the column of water

What is Archimedes' principle?

Archimedes' principle states that any object submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid that the object displaces. This principle explains why objects float or sink in water and is fundamental in fluid mechanics.

How does the column of water relate to Archimedes' principle?

The column of water demonstrates Archimedes' principle by showing how the pressure at a certain depth in a fluid contributes to the buoyant force on an object. The height of the water column affects the pressure exerted on the object, which helps determine whether it will float or sink.

What factors affect the buoyant force according to Archimedes' principle?

The buoyant force is affected by the density of the fluid, the volume of the fluid displaced by the object, and the acceleration due to gravity. An object will float if its density is less than that of the fluid, and it will sink if its density is greater.

Can Archimedes' principle be applied to gases as well as liquids?

Yes, Archimedes' principle can be applied to gases. The principle applies to any fluid, whether liquid or gas. For example, a helium balloon rises in air because the weight of the air displaced by the balloon is greater than the weight of the balloon itself.

How can Archimedes' principle be demonstrated in a simple experiment?

A simple experiment to demonstrate Archimedes' principle involves submerging a solid object in a graduated cylinder filled with water. By measuring the change in water level, you can calculate the volume of water displaced, which corresponds to the buoyant force acting on the object when submerged.

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