Why does the deeper the depth, the greater the pressure?

Pressure inside the liquid.

Cause: Due to the gravity of the liquid, the pressure on the bottom of the container is generated; Due to the fluidity of the liquid, pressure is exerted on the walls of the device.

Rule: At the same depth, the pressure in all directions is smaller, and the greater the equal depth, the greater the pressure.

At the same depth of different liquids, the density of the liquid is high, and the pressure is also large.

Depth h, the vertical height from the liquid level to a certain point of the liquid. ]

Formula: p= gh h: unit: m; kg m3; g = bovine kilograms.

Formula understanding: liquid pressure p is only related to the density of the liquid and the depth of the liquid h, and has nothing to do with other factors p = gh = 1000 kg m3 Nn kg 1 m = 9800 Pa.

First of all, I want to say. It's my own:

The pressure of a liquid is related to the height because the pressure of a liquid is calculated using the formula.

p = ρgh

is the density of the liquid, g is the acceleration of gravity (is a fixed value, about h is the height of the liquid, the density of the liquid and the acceleration of gravity g are constant, p is proportional to h. Increases with the increase of h. Decreases as it decreases.

So the deeper the water, the greater the pressure.

Liquids have weight, and this weight is expressed as pressure. It's like if you don't feel anything when you sleep on a quilt at night, but you can't breathe when you cover ten layers of quilts.

So again: the deeper the liquid, the greater the pressure.

Belch.. Upstairs, the gravity taught by the teacher is straight down. You see, the deeper the depth, the greater the gravity, and the pressure is generated by gravity.

Pressure is the pressure divided by the cross-sectional area, calculating the gravity of water is the gravitational acceleration multiplied by the density multiplied by the height multiplied by the cross-sectional area, gravity produces pressure, so the pressure is to divide the above two, the cross-sectional area is eliminated, only related to the height, density and gravitational acceleration So that is to say, the deeper the depth, the greater the pressure. This was originally an experimental pull. As for the height of the container you said, the height is the vertical line distance from the top of the horizontal to the end of the horizontal, and it has nothing to do with how it rolls and how it curves, just like the displacement, the displacement has not been learned, right?

The problem is actually quite complex, and rigorous proofs require the use of some advanced mathematical tools such as tensors. I can only talk about it briefly. The conclusion that "the pressure in all directions at the same depth inside the liquid is equal" is only true in Newtonian fluids.

What is Newtonian fluid, that is, there is only positive pressure between the inside of the liquid, and there is no tangential force. In other words, the liquid vertical wax body has no viscosity, and the liquid in the upper part does not exert a force in the horizontal direction on the liquid in the lower half of the liquid, and similarly, the liquid on the left does not exert a vertical force on the liquid on the right. This is a fundamental hypothesis.

In fact, there is no such thing as a true Newtonian fluid in nature, but a less viscous liquid such as water can be considered a Newtonian fluid.

Under the basic assumption of Newtonian fluids, I take a microelement inside the liquid, and what forces are applied to this microelement, which is naturally subjected to positive pressure in six directions, but not in the tangential direction. Since the liquid deficit is a stationary liquid, the pressure in the horizontal direction should be balanced with each other, and the pressure in the vertical direction should be balanced with the gravity of the microelement.

Not only that, but there is a condition for these forces, such as a force in the horizontal direction, where two mutually balanced forces will cause the microelement of water to stretch in the other direction, because it is not balanced by a tangential force. So there must be another pair of equilibrium forces in the direction of tension. According to the isotropy of water, these two pairs of equilibrium forces must be equal, otherwise either the equilibrium condition is not satisfied, or the water is anisotropic.

The same goes for the vertical direction.

The pressure of the liquid is directly proportional to the depth

1.The concept of pressure and pressure

The pressure of a liquid on a surface is defined as the force on the area divided by the area, i.e., p=f a. where p is the pressure of the liquid on the surface (in pascal), f is the force perpendicular to the surface, and a is the area of the surface.

2.The relationship between the depth of the liquid and the strength of the hydraulic pressure

First of all, we can assume that every tiny area in the liquid is subjected to the same pressure, and that these tiny areas are of a size of da and are located at a depth of h. Then the pressure of the liquid on DA can be expressed as dp = GDH, where is the density of the liquid, G is the acceleration due to gravity, and DH is the slight depth difference. For the entire volume of liquid, the resultant force experienced by the liquid can be expressed as f= PDA= ghda, where the integral starts at the surface and ends at the end of the entire liquid.

3.Mathematical derivation of fluid depth and hydraulic strength

Dividing both ends of this equation by a gives p= GDH, and the integral starts at the surface and ends at the depth h of the liquid. This definite integral is exactly the pressure p of the liquid, because the thickness of each layer of the liquid is DH, and the pressure is GDH, which is multiplied by the top area of this layer to get the pressure experienced by each layer. Therefore, the greater the depth of the liquid, the greater the pressure on each layer, and the hydraulic strength will also increase with the imitation potato.

4.Practical application

Using this principle, one can calculate the depth of the sea, atmospheric pressure, etc. For example, the atmospheric pressure of a large object is about 101,325 pa at sea level, and gradually decreases as the altitude increases.

5.Summary

In summary, the liquid pressure strength is proportional to the depth, and the mathematical expression is p= gh. According to this principle, it is possible to calculate the pressure values of liquids at various depths, and it is also possible to give reasonable explanations for problems in reality.

6.Application scenarios

The relationship between liquid pressure and depth has many applications in various fields. For example, when working underwater, it is necessary to calculate the pressure of the liquid launched at various depths on equipment and people to ensure that the operation is completed safely. The relationship between the pressure and depth of liquids is also considered in hydraulic engineering, such as dams, reservoirs, water pipes, etc.

In addition, the pressure control of liquids is also very important in industrial production, because different production departments require different liquid pressures, and according to the linear relationship between the depth and pressure of the liquid, the pressure of the liquid can be controlled by adjusting the liquid level or liquid flow.

At the same depth, the pressure of the liquid is equal in all directions; The pressure of the liquid is also related to the density of the liquid, and the higher the density of the liquid, the greater the pressure.

Pressure refers to the pressure exerted on a unit area of an object, and the symbol is p (pressure). Pressure is used to indicate the effect of pressure, and the greater the pressure, the more obvious the effect of pressure. The formula for calculating pressure is:

p = f s, the unit of pressure is pascal (abbreviated pascal), and the symbol is pa.

The methods of increasing the pressure are: increasing the pressure while the force area is the same or decreasing the force area when the pressure is not the same. The methods of reducing the pressure are: reducing the pressure under the condition that the force area remains the same or increasing the force area when the pressure is not the same.

The liquid has pressure on both the side walls and the bottom of the container, and the pressure increases with the depth of the liquid.

The characteristics of the strong internal pressure chain of the liquid are: the liquid has pressure from the inside in all directions; The pressure increases with depth; At the same depth, the pressure of the liquid is equal in all directions; Liquid pressure is also related to the density of the liquid, and the denser the liquid, the greater the pressure. The amount of pressure inside the liquid can be measured with a pressure gauge.

This statement is true, and the physical formula is p=

gh.For a particular liquid, the density is constant, the gravitational acceleration is also constant, and the determining factor is the depth h. On this subject, there is a famous Pascal "barrel cracking" experiment in history:

Water is added to a barrel of sufficient height, and after the depth of the water reaches a certain level, the bottom of the barrel cracks. In this experiment, the density of the water does not change, but the depth increases repeatedly, the pressure in the lower part increases, and its hydraulic pressure finally exceeds the upper limit of what the barrel can bear, and the barrel cracks with it, which is a good proof that the liquid pressure is related to the depth of the liquid, but not to the gravity of the liquid.

Right. It is the effect of gravity, you can see the liquid as a whole, close to the liquid surface, the liquid is less, the gravity is less, the pressure is less, and vice versa.

Liquid pressure characteristics:

1) The liquid has pressure on the bottom and wall of the container, (2) The liquid has pressure inside the container in all directions; (3) The pressure of the liquid increases with the increase of depth, and at the same depth, the pressure of the liquid in all directions is equal; (4) The pressure of different liquids is also related to the density.

It is not true, the formula for the reason pressure is: p=f s to launch p=f s=g s=mg s= vg s= shg s= gh, then from the formula, density and depth play a decisive factor, and acceleration is a relative value, depending on the specific scene; In other words, this sentence is true when the acceleration and density remain constant or change incrementally;

It is also related to the density of the liquid and the acceleration due to gravity.

According to the liquid pressure formula, p=pgh can be seen to be related to density and depth, and this conclusion will only appear when the density is constant.