Pressure difference between the top and bottom surfaces of this cube

In summary, the conversation is about a formula for pressure and how it relates to the depth below the surface of a fluid. There is also discussion about the density of the liquid and how it affects the pressure. The solution provided is that pressure increases with depth.
  • #1
Say17
11
1
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
 
Physics news on Phys.org
  • #2
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?
 
  • #3
It's the length from beginning of the cube till ground?
 
  • #4
The pressure within the liquid depends on the depth below the surface. Pressure increases with depth.

Read this: Static Fluid Pressure
 

FAQ: Pressure difference between the top and bottom surfaces of this cube

What is pressure difference?

Pressure difference refers to the variation in pressure between two points. In the context of a cube, it would mean the difference in pressure exerted on the top surface compared to the bottom surface.

How is the pressure difference between the top and bottom surfaces of a cube calculated?

The pressure difference can be calculated using the formula ΔP = ρgh, where ΔP is the pressure difference, ρ is the density of the fluid surrounding the cube, g is the acceleration due to gravity, and h is the height of the cube.

What factors affect the pressure difference between the top and bottom surfaces of a cube?

The primary factors that affect the pressure difference are the density of the fluid surrounding the cube, the gravitational acceleration, and the height of the cube. Temperature and altitude can also indirectly affect the pressure difference by changing the fluid density.

Why is there a pressure difference between the top and bottom surfaces of a cube submerged in a fluid?

There is a pressure difference because of the hydrostatic pressure exerted by the fluid. The pressure increases with depth, so the bottom surface of the cube, being at a lower depth, experiences a higher pressure compared to the top surface.

Can the pressure difference between the top and bottom surfaces of a cube be zero?

The pressure difference can be zero if the cube is in a vacuum or if it is not submerged in any fluid. However, if the cube is submerged in a fluid, there will always be a pressure difference due to the hydrostatic pressure gradient.

Similar threads

How to calculate the velocity of water streaming into the boat?
Replies
19
Views
589
Buoyancy and the Archimedes Principle
Replies
6
Views
1K
Gauge pressure due to a floating body
Replies
4
Views
1K
Force of water against a dam gate
Replies
29
Views
3K
How do we use Bernoulli's Principle in this situation?
Replies
6
Views
2K
Bouyant force when there is no liquid beneath an object
Replies
8
Views
2K
Calculating Velocity of Water Flow in Open Channel
Replies
11
Views
2K
Misunderstanding of Gravitational Potential Energy
Replies
7
Views
3K
Fluid Mechanics: Head Loss Question (Conceptual)
Replies
3
Views
1K
Solving Force Exerted by Liquid Using Archimedes Principle
Replies
17
Views
2K

Hot Threads

Recent Insights

Back
Top