Pressure in fluids and Archimedes' principle

• MatinSAR
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.
MatinSAR
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.

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?!

You are correct.

MatinSAR
kuruman said:
You are correct.

kuruman

What is pressure in fluids?

Pressure in fluids is the force exerted by the fluid per unit area. It is generally measured in Pascals (Pa) and can be calculated using the equation P = F/A, where P is the pressure, F is the force, and A is the area over which the force is distributed.

How does pressure vary with depth in a fluid?

Pressure in a fluid increases with depth due to the weight of the fluid above. This relationship can be described by the equation P = P₀ + ρgh, where P is the pressure at depth, P₀ is the surface pressure, ρ is the fluid density, g is the acceleration due to gravity, and h is the depth.

What is Archimedes' principle?

Archimedes' principle states that any object submerged in a fluid experiences a buoyant force equal to the weight of the fluid displaced by the object. This principle explains why objects float or sink depending on their density relative to the fluid.

How do you calculate the buoyant force on an object?

The buoyant force on an object can be calculated using the equation F_b = ρ_f * V * g, where F_b is the buoyant force, ρ_f is the density of the fluid, V is the volume of the fluid displaced by the object, and g is the acceleration due to gravity.

Why do objects float or sink in a fluid?

Objects float or sink in a fluid based on their density relative to the fluid. If the object's density is less than the fluid's density, it will float because the buoyant force is greater than the object's weight. Conversely, if the object's density is greater than the fluid's density, it will sink because the buoyant force is less than the object's weight.

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