Pressure difference between the top and bottom surfaces of this cube

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SUMMARY

The discussion focuses on calculating the pressure difference between the top and bottom surfaces of a cube submerged in a fluid. The correct formula involves the relationship between density (ρ), gravitational acceleration (g), and depth (a), leading to the conclusion that the pressure difference is given by ρl * g * a, where ρl represents the density of the liquid. The participants clarify that pressure increases with depth, emphasizing the importance of understanding static fluid pressure principles.

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  • Knowledge of density and its role in fluid calculations
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Homework Statement
We consider the case where the wagon is at rest in profile view (below). Determine the pressure difference deltarho = rho under - delta on between the pressure under the inner surface of the cube and the pressure on the upper surface of the cube.
Relevant Equations
rho = F/A
Hi all,

I think I have to take the formula for pression. rho = F/A -> rho = ma/A but not sure, how to handle it here.

Image 23.06.23 at 17.09.jpeg


I thought, it should be rho under - rho above = pl*L - pc *a

Solution is: pl *g *a
 
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ρ stands for density, not pressure. ρl would be the density of the liquid that fills the wagon. (I presume that's what's going on here.)

How does pressure relate to the depth below the surface of a fluid?
 
It's the length from beginning of the cube till ground?
 
The pressure within the liquid depends on the depth below the surface. Pressure increases with depth.

Read this: Static Fluid Pressure
 

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