Pressure in fluids and Archimedes' principle

In summary, the conversation discusses the relationship between buoyant force, displaced water volume, and pressure in a container. A piece of wood and a metal are used as examples to illustrate the concept. The volume of displaced water directly affects the pressure at the bottom of the container, which remains constant for the wood and increases for the metal. The volume of displaced water is also equivalent to the change in water's height. The speaker confirms their understanding and expresses gratitude for the assistance provided.
  • #1
MatinSAR
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176
Homework Statement
In following picture, a piece of wood and an empty container are floating on a container of water, and a metal object is at the bottom of the container. A) If we take the piece of wood that is on the surface of the water and put it in the container, how will the pressure at the bottom of the water container change? B) If we take that metal object from its place and put it in a container and the container remains floating, how does the pressure at the bottom of the water container change?
Relevant Equations
Archimedes' principle.
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Hello.
A: If we put this piece of wood in the emty container, the volume of displaced water will not change (because Buoyant Force has not changed), so the pressure at the bottom of the water container doesn't change and it remains constant.
B: If we put the metal in the emty container, the volume of displaced water should increse (because Buoyant Force has increased), so the pressure at the bottom of the water container is increased.
The volume of displaced water is equivalent to change in water's height.

Am I wrong or not?!
 
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  • #2
You are correct.
 
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  • #3
kuruman said:
You are correct.
Thanks again for your help.
 
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1. What is pressure in fluids?

Pressure in fluids is the force exerted by a fluid per unit area. It is caused by the weight of the fluid and the force of gravity acting on it.

2. What is Archimedes' principle?

Archimedes' principle states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid that the object displaces.

3. How does pressure change with depth in a fluid?

Pressure in a fluid increases with depth due to the weight of the fluid above pushing down on the lower layers. This is known as hydrostatic pressure.

4. How does the density of a fluid affect pressure?

The denser the fluid, the greater the pressure. This is because a denser fluid has more mass per unit volume, resulting in a greater weight and therefore a greater force exerted on a given area.

5. How is Archimedes' principle used in real life?

Archimedes' principle is used in various applications, such as determining the volume and density of irregularly shaped objects, designing ships and submarines to float and maneuver, and measuring the purity of precious metals by comparing their buoyancy in water to their expected density.

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