How Does Pressure Distribute in a Fluid System?

In summary, pressure in a fluid acts in all directions and is not affected by the size of the object measuring it. This means that the pressure exerted by a liquid, calculated using P=hρg, is applied to all surrounding objects, including the air above it, and is not affected by the normal force balancing the weight of the liquid. This is because pressure is a measure of the force per unit area, and as the size of the object measuring it decreases, the force is distributed more evenly across its surface.
  • #1
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Homework Statement


P=hρg is the pressure difference but where does this pressure act upon? In a standard barometer there is a vacuum on top so 0 Pa, and at the bottom the normal force acts on the glass base. So hρg=Pweight. But theoretically, where would the hρg calculated be acted upon? Or will that pressure just be exerted at all directions?

If so in this example http://postimage.org/image/53k5i2cqz/full/ will the hρg be exerted onto the air as well?


Homework Equations



P=hρg

The Attempt at a Solution


I think so because under forces, we learned that by Newton's third law besides the normal force balancing out weight, there is also a reaction force acting on the other body that applied the normal force. So now in terms of pressure in that scenario the liquid would exert the pressure on the gas below.

However, the main part that confuses me is that the normal force balancing the weight will be countered by weight itself. So there is no net force acting on the liquid. So why should there be a pressure being exerted on it?

Thanks for the help!
 
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  • #2
Yes pressure acts in all directions in a fluid. Let's suppose you can make a tiny spherical sensor that can measure the force acting at say 1000 points all over its surface.

If the sensor was large you might measure a pressure difference between the top and bottom, but the pressure on each side would be the same besause they are at the same depth in the fluid.

As the diameter of this sensor is reduced towards zero would find that the pressure on all the points approached the same value.

If the sensor is really small then you would find that the pressure just either side of the liquid air surface was the same. It doesn't suddenly change polarity from positive to negative as you go through the surface.

Aside: I'm ignoring any effect due to surface tension
 
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FAQ: How Does Pressure Distribute in a Fluid System?

1. Where does pressure act upon in a gas?

In a gas, pressure acts equally in all directions. This is because gas particles are constantly moving and colliding with each other and the walls of the container.

2. Where does pressure act upon in a liquid?

In a liquid, pressure acts in all directions, but it is greater in the downward direction due to the weight of the liquid above. This is why liquids always seek to find their own level.

3. Where does pressure act upon in a solid?

In a solid, pressure acts in all directions, but it is greater in the direction of the applied force. This is because the molecules in a solid are closely packed and have a fixed position, so the force is transmitted through the solid.

4. Is pressure exerted on the surface or throughout the entire volume of a fluid?

Pressure is exerted throughout the entire volume of a fluid. This is because the particles in a fluid are free to move and transmit the force to all parts of the fluid.

5. How does the size of the container affect pressure?

The size of the container does not affect pressure, as long as the same amount of gas or liquid is present. Pressure is determined by the amount of force applied and the area over which it is distributed, not the size of the container.

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