Pressure in Liquids and Pascal's Principle?

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SUMMARY

Pascal's Principle states that a change in pressure at any point in an enclosed fluid at rest is transmitted undiminished to all points in the fluid. This principle confirms that pressure in liquids acts in all directions, even when a downward force is applied. The discussion clarifies that the pressure exerted by the weight of the water is transmitted equally in all directions, as evidenced by the increased pressure felt when swimming to the bottom of a pool. A free body diagram of a water cube illustrates that horizontal forces can be significant while maintaining equilibrium.

PREREQUISITES
  • Understanding of Pascal's Principle
  • Basic knowledge of fluid mechanics
  • Familiarity with free body diagrams
  • Concept of pressure in fluids
NEXT STEPS
  • Study the applications of Pascal's Principle in hydraulic systems
  • Explore fluid dynamics and pressure distribution in various fluids
  • Learn about the effects of depth on pressure in liquids
  • Investigate the relationship between force, area, and pressure using the formula P = F/A
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Students of physics, engineers working with fluid systems, and anyone interested in understanding the behavior of liquids under pressure.

eddywalrus
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Okay, so Pascal's Principle (as copied from Wikipedia):

A change in pressure at any point in an enclosed fluid at rest is transmitted undiminished to all points in the fluid.

From what I've gathered, this means that pressure in liquids act in all directions, so if you press a closed container filled with water, then the pressure will spread and act in all directions. However, how does this work? If you press down on it with a downwards force, then won't the pressure act downwards instead of in all directions?

In still water, for example, in the ocean, the weight (gravity) of the water is also a "downwards" which means that the pressure is exerted downwards and not in all directions?

I've tried visualizing this using particles, but it doesn't really make sense- if you press downwards then the particles are moving downwards which collides with other particles and makes them move downwards, so in the end there's only pressure on the bottom of the container and not on the sides of the container?

I'm really confused now. :(

Thanks in advance for your help.
 
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eddywalrus said:
Okay, so Pascal's Principle (as copied from Wikipedia):

A change in pressure at any point in an enclosed fluid at rest is transmitted undiminished to all points in the fluid.

From what I've gathered, this means that pressure in liquids act in all directions, so if you press a closed container filled with water, then the pressure will spread and act in all directions. However, how does this work? If you press down on it with a downwards force, then won't the pressure act downwards instead of in all directions?

In still water, for example, in the ocean, the weight (gravity) of the water is also a "downwards" which means that the pressure is exerted downwards and not in all directions?

I've tried visualizing this using particles, but it doesn't really make sense- if you press downwards then the particles are moving downwards which collides with other particles and makes them move downwards, so in the end there's only pressure on the bottom of the container and not on the sides of the container?

I'm really confused now. :(

Thanks in advance for your help.

The force per unit area on the vertical walls of the container, or on vertical surfaces at the bottom of the ocean is the same as the force per unit area on a horizontal surface, such as the bottom of the container, or the ocean floor. The pressure of the overlying weight is transmitted equally in all directions. Did you ever swim to the bottom of a pool at the deep end and feel the increased pressure on your ear drums?

I get the feeling that you think some kind of force balance has to apply to the horizontal direction in order for the pressure to be high in that direction. But, if you do a free body diagram on a cube of water at depth, there is nothing that says that the horizontal forces on the cube can't be high, while at the same time preserving equilibrium.
 

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