Pressure difference between the top and bottom surfaces of this cube

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Homework Help Overview

The discussion revolves around understanding the pressure difference between the top and bottom surfaces of a cube submerged in a fluid, focusing on the relevant formulas and concepts in fluid mechanics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between pressure and depth in a fluid, questioning the correct interpretation of variables and formulas related to pressure and density.

Discussion Status

Some participants have offered clarifications regarding the definitions of variables, while others are probing the relationship between pressure and depth, indicating a productive exploration of the topic without reaching a consensus.

Contextual Notes

There appears to be some confusion regarding the use of symbols and the physical context of the problem, particularly concerning the definitions of pressure and density.

Say17
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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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