Pressure Difference in Tank with/without Wooden Box

[phymatter]

if in a tank full of water big a wooden box floats on water then will the pressure below the box in the liquid be different from , the case , when there would be no wooden box ??

 

[HallsofIvy]

Apply Archimede's principal- the box displaces its own weight of water so the total weight of water plus box above a given point stays the same.

 

[phymatter]

Apply Archimede's principal- the box displaces its own weight of water so the total weight of water plus box above a given point stays the same.

but if we consider a really big box which causes the water level to rise significantly , then i think that this will increase the pressure by (density*g*h) , pl. correct me if i am wrong or conform :)

 

[sophiecentaur]

Yep. I was about to point this out myself 'till I got to read your post.

 

[PJC01]

Yes, the pressure below the wooden box in the tank full of water will be different compared to the case when there is no wooden box. This is due to the principle of Pascal's law which states that pressure exerted on a confined fluid is transmitted equally in all directions.

In the case of a tank full of water with a wooden box floating on top, the weight of the box will create a downward force on the water below it. This will increase the pressure in that specific area, creating a pressure difference between the area below the box and the surrounding water.

On the other hand, in the case of no wooden box, the pressure will be evenly distributed throughout the tank as there is no additional weight or force acting on the water.

This pressure difference can be measured using a pressure gauge and can also be calculated using the equation P = ρgh, where P is the pressure, ρ is the density of water, g is the acceleration due to gravity, and h is the height of the water column.

In conclusion, the presence of a wooden box in a tank full of water will result in a pressure difference in the liquid compared to the case when there is no wooden box. This is an important concept to consider in various engineering and scientific applications, such as in the design of underwater structures or in the study of fluid mechanics.