How do physicists measure pressure? Pressure formula for air, vapor, liquid or solid

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Why does a person standing on skis not fall into loose snow? Why does a car with wide tires have more flotation than a car with regular tires? Why does a tractor need caterpillars? We will find out the answer to these questions by getting acquainted with the physical quantity called pressure.

Solid body pressure

When a force is applied not to one point of the body, but to many points, then it acts on the surface of the body. In this case, one speaks of the pressure that this force creates on the surface of a solid body.

In physics, pressure is a physical quantity that is numerically equal to the ratio of the force acting on a surface perpendicular to it to the area of ​​this surface.

p = F/S ,

where R - pressure; F - force acting on the surface; S - surface area.

So, pressure occurs when a force acts on a surface perpendicular to it. The magnitude of the pressure depends on the magnitude of this force, and is directly proportional to it. The more power, the more pressure it creates per unit area. The elephant is heavier than the tiger, so it exerts more pressure on the surface. The car pushes against the road with more force than the pedestrian.

The pressure of a solid body is inversely proportional to the surface area on which the force acts.

Everyone knows that walking in deep snow is difficult due to the fact that the legs constantly fall through. But skiing is pretty easy. The thing is that in both cases a person acts on the snow with the same force - the force of gravity. But this force is distributed over surfaces with different area. Since the surface area of ​​the skis more area shoe soles, then the weight of a person in this case is distributed over a larger area. And the force acting per unit area is several times smaller. Therefore, a person standing on skis puts less pressure on the snow and does not fall into it.

By changing the surface area, you can increase or decrease the amount of pressure.

When going on a hike, we choose a backpack with wide straps to reduce pressure on the shoulder.

To reduce the pressure of the building on the ground, increase the area of ​​\u200b\u200bthe foundation.

Tires trucks are made wider than passenger car tires so that they exert less pressure on the ground. For the same reason, a tractor or tank is made on tracks, and not on wheels.

Knives, blades, scissors, needles are sharpened sharply so that they have the smallest possible area of ​​\u200b\u200bthe cutting or piercing part. And then even with the help of a small applied force, a lot of pressure is created.

For the same reason, nature has provided animals sharp teeth, fangs, claws.

Pressure is a scalar quantity. In solids, it is transmitted in the direction of the force.

The unit of force is newton. The area unit is m 2 . Therefore, the unit of pressure is N/m 2 . This value in the international system of units SI is called pascal (Pa or Ra). It got its name in honor of the French physicist Blaise Pascal. A pressure of 1 pascal causes a force of 1 newton acting on a surface of 1 m 2 .

1 Pa = 1N/m2 .

Other systems use units such as bar, atmosphere, mmHg. Art. (millimeters of mercury), etc.

Pressure in liquids

If in a solid body pressure is transmitted in the direction of the force, then in liquids and gases, according to Pascal's law, " any pressure exerted on a liquid or gas is transmitted in all directions without change ».

Let's fill a ball with tiny holes connected to a narrow tube in the form of a cylinder with liquid. Let's fill the ball with liquid, insert the piston into the tube and start moving it. The piston presses on the surface of the liquid. This pressure is transmitted to every point of the fluid. Liquid begins to pour out of the holes in the ball.

Filling the balloon with smoke, we will see the same result. This means that in gases pressure is also transmitted in all directions.

The force of gravity acts on the liquid, as on any body on the surface of the Earth. Each layer of liquid in the container creates pressure with its own weight.

This is confirmed by the following experiment.

If water is poured into a glass vessel, instead of the bottom of which has a rubber film, then the film will sag under the weight of water. And the more water there is, the more the film will bend. If we gradually immerse this vessel with water into another container, also filled with water, then as it sinks, the film will straighten. And when the water levels in the vessel and container are equal, the film will straighten completely.

At the same level, the pressure in the liquid is the same. But with increasing depth, it increases, since the molecules upper layers put pressure on the molecules of the lower layers. And those, in turn, put pressure on the molecules of the layers located even lower. Therefore, at the lowest point of the tank, the pressure will be the highest.

The pressure at depth is determined by the formula:

p = ρ g h ,

where p - pressure (Pa);

ρ - liquid density (kg / m 3);

g - free fall acceleration (9.81 m/s);

h - height of the liquid column (m).

It can be seen from the formula that the pressure increases with depth. The lower the submersible descends in the ocean, the more pressure it will experience.

Atmosphere pressure

Evangelista Torricelli

Who knows, if in 1638 the Duke of Tuscany had not decided to decorate the gardens of Florence with beautiful fountains, atmospheric pressure would not have been discovered in the 17th century, but much later. We can say that this discovery was made by chance.

In those days, it was believed that the water would rise behind the piston of the pump, because, as Aristotle said, "nature does not tolerate emptiness." However, the event was not successful. The water in the fountains really rose, filling the resulting "void", but at a height of 10.3 m it stopped.

They turned to Galileo Galilei for help. Since he could not find a logical explanation, he instructed his students - Evangelista Torricelli and Vincenzo Viviani conduct experiments.

Trying to find the reason for the failure, Galileo's students found out that different liquids rise behind the pump to different heights. The denser the liquid, the lower the height it can rise. Since the density of mercury is 13 times that of water, it can rise to a height 13 times less. Therefore, they used mercury in their experiment.

In 1644 the experiment was carried out. The glass tube was filled with mercury. Then it was thrown into a container, also filled with mercury. After some time, the column of mercury in the tube rose. But he did not fill the entire tube. There was an empty space above the mercury column. It was later called the "Torricellian void". But mercury did not pour out of the tube into the container either. Torricelli explained this by the fact that mercury presses atmospheric air and keeps it in the tube. And the height of the mercury column in the tube shows the magnitude of this pressure. This was the first time atmospheric pressure was measured.

The atmosphere of the Earth is its air shell, held near it by gravitational attraction. The gas molecules that make up this shell are constantly and randomly moving. Under the influence of gravity, the upper layers of the atmosphere press on the lower layers, compressing them. The lowest layer near the Earth's surface is compressed the most. Therefore, the pressure in it is the greatest. According to Pascal's law, it transmits this pressure in all directions. It is experienced by everything that is on the surface of the Earth. This pressure is called atmospheric pressure .

Since atmospheric pressure is created by the overlying layers of air, it decreases with increasing altitude. It is known that high in the mountains it is less than at the foot of the mountains. And deep underground it is much higher than on the surface.

Normal atmospheric pressure is the pressure equal to the pressure of a column of mercury 760 mm high at a temperature of 0 o C.

Atmospheric pressure measurement

Since atmospheric air has a different density at different heights, the value atmospheric pressure cannot be determined from the formulap = ρ · g · h . Therefore, it is determined using special instruments called barometers .

Distinguish between liquid barometers and aneroids (non-liquid). The operation of liquid barometers is based on the change in the column of liquid level under the pressure of the atmosphere.

The aneroid is a sealed container made of corrugated metal, inside which a vacuum is created. The container contracts when the atmospheric pressure rises and straightens when it is lowered. All these changes are transmitted to the arrow by means of a springy metal plate. The end of the arrow moves along the scale.

By changing the readings of the barometer, one can assume how the weather will change in the coming days. If the atmospheric pressure rises, then clear weather can be expected. And if it goes down, it will be cloudy.

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Nobody likes to be under pressure. And it doesn't matter which one. Queen also sang about this along with David Bowie in their famous single "Under pressure". What is pressure? How to understand pressure? In what it is measured, by what instruments and methods, where it is directed and what it presses on. The answers to these and other questions - in our article about pressure in physics and not only.

If the teacher puts pressure on you by asking tricky problems, we will make sure that you can answer them correctly. After all, understanding the essence of things is the key to success! So what is pressure in physics?

By definition:

Pressure- scalar physical quantity equal to the force acting per unit area of ​​the surface.

In the international system, the SI is measured in Pascals and is marked with the letter p . Pressure unit - 1 Pascal. Russian designation - Pa, international - Pa.

According to the definition, to find pressure, you need to divide the force by the area.

Any liquid or gas placed in a vessel exerts pressure on the walls of the vessel. For example, borscht in a saucepan acts on its bottom and walls with some pressure. Formula for determining fluid pressure:

where g is the acceleration of free fall in the gravitational field of the earth, h- the height of the borscht column in the pan, Greek letter "ro"- the density of borscht.

The most commonly used instrument for measuring pressure is the barometer. But what is pressure measured in? In addition to pascal, there are other off-system units of measurement:

  • atmosphere;
  • millimeter of mercury;
  • millimeter of water column;
  • meter of water column;
  • kilogram-force.

Depending on the context, different off-system units are used.

For example, when you listen to or read the weather forecast, there is no question of Pascals. They talk about millimeters of mercury. One millimeter of mercury is 133 Pascal. If you drive, you probably know that normal pressure in the wheels of a car - about two atmospheres.


Atmosphere pressure

The atmosphere is a gas, more precisely, a mixture of gases that is held near the Earth due to gravity. The atmosphere passes into interplanetary space gradually, and its height is approximately 100 kilometers.

How to understand the expression "atmospheric pressure"? Above every square meter of the earth's surface is a hundred-kilometer column of gas. Of course, the air is transparent and pleasant, but it has a mass that presses on the surface of the earth. This is atmospheric pressure.

Normal atmospheric pressure is considered to be equal to 101325 Pa. This is the pressure at sea level at 0 degrees Celsius. Celsius. The same pressure at the same temperature is exerted on its base by a column of mercury with a height 766 millimeters.

The higher the altitude, the lower the atmospheric pressure. For example, on top of a mountain Chomolungma it is only one-fourth of normal atmospheric pressure.


Arterial pressure

Another example where we face pressure in Everyday life is a measurement of blood pressure.

Blood pressure is blood pressure, i.e. The pressure that blood exerts on the walls of blood vessels, in this case arteries.

If you have measured your blood pressure and you have it 120 on the 80 , then all is well. If a 90 on the 50 or 240 on the 180 , then it will definitely not be interesting for you to figure out what this pressure is measured in and what it generally means.


However, the question arises: 120 on the 80 what exactly? Pascals, millimeters of mercury, atmospheres or some other units of measurement?

Blood pressure is measured in millimeters of mercury. It determines the excess pressure of the liquid in circulatory system above atmospheric pressure.

Blood exerts pressure on the vessels and thereby compensates for the effect of atmospheric pressure. Otherwise, we would simply be crushed by a huge mass of air above us.

But why in the dimension blood pressure two numbers?

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The fact is that the blood moves in the vessels not evenly, but in jolts. The first digit (120) is called systolic pressure. This is the pressure on the walls of blood vessels at the time of contraction of the heart muscle, its value is the largest. The second digit (80) defines smallest value and called diastolic pressure.

When measuring, the values ​​​​of systolic and diastolic pressures are recorded. For example, for a healthy person, a typical blood pressure value is 120 to 80 millimeters of mercury. This means that the systolic pressure is 120 mm. rt. Art., and diastolic - 80 mm Hg. Art. The difference between systolic and diastolic pressure is called pulse pressure.

physical vacuum

Vacuum is the absence of pressure. More precisely, its almost complete absence. Absolute vacuum is an approximation, like an ideal gas in thermodynamics and a material point in mechanics.

Depending on the concentration of the substance, low, medium and high vacuum are distinguished. The best approximation to the physical vacuum is space, in which the concentration of molecules and pressure are minimal.


Pressure is the main thermodynamic parameter of the state of the system. It is possible to determine the pressure of air or another gas not only by instruments, but also using equations, formulas and laws of thermodynamics. And if you don’t have time to figure it out, the student service will help you solve any problem of determining pressure.

Everything is quite simple. It is one of the main indicators of activity of cardio-vascular system. Let's look at this issue in more detail.

What is BP?

Blood pressure is the process of squeezing the walls of capillaries, arteries and veins under the influence of blood circulation.

Types of blood pressure:

  • upper, or systolic;
  • lower, or diastolic.

When determining the level of blood pressure, both of these values ​​\u200b\u200bmust be taken into account. The units of its measurement remained the very first - millimeters of a mercury column. This is due to the fact that mercury was used in the old devices to determine the level of blood pressure. Therefore, BP looks like in the following way: upper blood pressure (for example, 130) / lower blood pressure (for example, 70) mm Hg. Art.

Circumstances that directly affect the range of blood pressure include:

  • the level of strength of contractions performed by the heart;
  • the proportion of blood pushed out by the heart during each contraction;
  • wall resistance blood vessels which turns out to be a blood stream;
  • the amount of blood circulating in the body;
  • pressure fluctuations in chest that are caused by the respiratory process.

Blood pressure levels can change throughout the day and with age. But for most healthy people characterized by stable blood pressure.

Definition of types of blood pressure

Systolic (upper) blood pressure is a characteristic general condition veins, capillaries, arteries, as well as their tone, which is caused by contraction of the heart muscle. It is responsible for the work of the heart, namely, with what force the latter is able to expel blood.

Thus, the level of upper pressure depends on the force and speed with which heart contractions occur.

It is unreasonable to assert that arterial and cardiac pressure is one and the same concept, since the aorta also participates in its formation.

The lower characterizes the activity of blood vessels. In other words, this is the level of blood pressure at the moment when the heart is maximally relaxed.

Lower pressure is formed as a result of contraction peripheral arteries, through which blood enters the organs and tissues of the body. Therefore, the state of blood vessels is responsible for the level of blood pressure - their tone and elasticity.

How to know the level of blood pressure?

You can find out your blood pressure level using a special device called a blood pressure monitor. This can be done both at the doctor's (or nurse's) and at home, having previously bought the device at the pharmacy.

Distinguish the following types tonometers:

  • automatic;
  • semi-automatic;
  • mechanical.

A mechanical tonometer consists of a cuff, a pressure gauge or display, a pear for pumping air and a stethoscope. Principle of operation: put the cuff on your arm, put a stethoscope under it (while you should hear the pulse), inflate the cuff with air until it stops, and then start to lower it gradually, unscrewing the wheel on the pear. At some point, you will clearly hear pulsating sounds in the stethoscope headphones, then they will stop. These two marks are the upper and lower blood pressure.

Consists of a cuff, an electronic display and a pear. Principle of operation: put on the cuff, pump up the air to the maximum with a pear, then let it out. The electronic display shows the upper and lower values ​​of blood pressure and the number of beats per minute - the pulse.

An automatic blood pressure monitor consists of a cuff, an electronic display and a compressor that performs inflation and deflation manipulations. Principle of operation: put on the cuff, start the device and wait for the result.

It is generally accepted that a mechanical tonometer gives the most exact result. It's also more affordable. At the same time, automatic and semi-automatic blood pressure monitors remain the most convenient to use. Such models are especially suitable for older people. Moreover, some types have the function of voice notification of pressure indicators.

It is worth measuring blood pressure indicators no earlier than thirty minutes after any physical exertion (even minor ones) and an hour after drinking coffee and alcohol. Before the measurement process itself, you need to sit quietly for a couple of minutes, catch your breath.

Blood pressure - the norm by age

Each person has an individual which may not be associated with any diseases.

The level of blood pressure is determined by a number of factors that are of particular importance:

  • age and gender of the person;
  • personal characteristics;
  • life style;
  • lifestyle features, preferred type of vacation, and so on).

Blood pressure also tends to rise with unusual physical activity and emotional stress. And if a person constantly performs physical exercise(for example, an athlete), then the level of blood pressure may also change both for time and for a long period. For example, when a person in stressful condition, then his blood pressure can rise to thirty mm Hg. Art. from the norm.

However, there are still certain limits of normal blood pressure. And even every ten points of deviation from the norm indicate a violation of the body.

Blood pressure - the norm by age

Age

The upper level of blood pressure, mm Hg. Art.

The lower level of blood pressure, mm Hg. Art.

1 - 10 years

from 95 to 110

16 - 20 years old

from 110 to 120

21 - 40 years old

from 120 to 130

41 - 60 years old

61 - 70 years old

from 140 to 147

Over 71 years old

You can also calculate the individual value of blood pressure using the following formulas:

1. For men:

  • upper blood pressure = 109 + (0.5 * number full years) + (0.1 * weight in kg);
  • lower BP \u003d 74 + (0.1 * number of full years) + (0.15 * weight in kg).

2. For women:

  • upper BP \u003d 102 + (0.7 * number of full years) + 0.15 * weight in kg);
  • lower blood pressure \u003d 74 + (0.2 * number of full years) + (0.1 * weight in kg).

The resulting value is rounded to an integer according to the rules of arithmetic. That is, if it turned out to be 120.5, then when rounded it will be 121.

Elevated blood pressure

High blood pressure is high level at least one of the indicators (lower or upper). It is necessary to judge the degree of its overestimation, taking into account both indicators.

Regardless of whether the lower blood pressure is high or upper, it is a disease. And it's called hypertension.

There are three degrees of the disease:

  • the first - GARDEN 140-160 / DBP 90-100;
  • the second - SAD 161-180 / DBP 101-110;
  • the third - GARDEN 181 and more / DBP 111 and more.

It is worth talking about hypertension when there is a high level of blood pressure values ​​for a long period.

Statistically, an overestimate systolic pressure most often observed in women, and diastolic - in men and the elderly.

Symptoms of high blood pressure can be:

  • decrease in working capacity;
  • appearance of fatigue;
  • frequent feelings of weakness;
  • morning pain in the back of the head;
  • frequent dizziness;
  • occurrence of bleeding from the nose;
  • noise in ears;
  • decreased visual acuity;
  • appearance at the end of the day.

Causes of high blood pressure

If lower arterial, then most likely this is one of the symptoms of the disease thyroid gland, kidneys, adrenal glands, which began to produce renin in large quantities. It, in turn, increases the tone of the muscles of the blood vessels.

Elevated lower blood pressure is fraught with the development of more more serious illnesses.

High top pressure indicates too frequent contractions of the heart.

A jump in blood pressure can be caused by a number of reasons. This is for example:

  • vasoconstriction due to atherosclerosis;
  • overweight;
  • diabetes;
  • stressful situations;
  • malnutrition;
  • excessive consumption of alcohol, strong coffee and tea;
  • smoking;
  • lack of physical activity;
  • frequent weather changes;
  • some diseases.

What is low BP?

Low blood pressure is vegetovascular dystonia or hypotension.

What happens with hypotension? When the heart contracts, blood enters the vessels. They expand and then gradually narrow. Thus, the vessels help the blood to move further through the circulatory system. The pressure is normal. For a number of reasons, vascular tone may decrease. They will remain expanded. Then there is not enough resistance for the movement of blood, because of which the pressure drops.

The level of blood pressure in hypotension: upper - 100 or less, lower - 60 or less.

If the pressure drops sharply, then the blood supply to the brain is limited. And this is fraught with such consequences as dizziness and fainting.

Symptoms may be:

  • increased fatigue and lethargy;
  • darkening in the eyes;
  • frequent shortness of breath;
  • cold feeling in hands and feet;
  • hypersensitivity to loud sounds and bright light
  • muscle weakness;
  • motion sickness in transport;
  • frequent headaches.

What is the reason for low blood pressure?

Poor joint tone and low blood pressure (hypotension) can be present from birth. But more often the culprits reduced pressure become:

  • Severe fatigue and stress. Congestion at work and at home, stress and lack of sleep cause a decrease in vascular tone.
  • Heat and stuffiness. When you sweat, it leaves the body a large number of liquids. For the sake of maintaining water balance it pumps water out of the blood that flows through the veins and arteries. Its volume decreases, vascular tone decreases. The pressure drops.
  • Taking medication. Heart drugs, antibiotics, antispasmodics and painkillers can “drop” the pressure.
  • emergence allergic reactions anything with possible anaphylactic shock.

If you have not had hypotension before, do not leave unpleasant symptoms without attention. They can be dangerous "bells" of tuberculosis, stomach ulcers, complications after a concussion and other diseases. Contact a therapist.

What to do to normalize the pressure?

These tips will help you feel whole hearty day if you are hypotonic.

  1. Don't rush to get out of bed. Wake up - do a little warm-up lying down. Move your arms and legs. Then sit down and stand up slowly. Perform actions without sudden movements. they can cause fainting.
  2. Accept cold and hot shower in the morning for 5 minutes. Alternate water - a minute warm, a minute cool. This will help to cheer up and is good for blood vessels.
  3. A good cup of coffee! But only natural tart drink will raise the pressure. Drink no more than 1-2 cups a day. If you have heart problems, drink coffee instead green tea. It invigorates no worse than coffee, but does not harm the heart.
  4. Sign up for a pool. Go at least once a week. Swimming improves vascular tone.
  5. Buy a tincture of ginseng. This natural "energy" gives tone to the body. Dissolve 20 drops of tincture in ¼ cup of water. Drink half an hour before meals.
  6. Eat sweets. As soon as you feel weak - eat ½ teaspoon of honey or a little dark chocolate. Sweets will drive away fatigue and drowsiness.
  7. Drink clean water. Daily 2 liters of pure and non-carbonated. This will help maintain pressure on normal level. If you have diseased heart and kidneys drinking regimen must be prescribed by a doctor.
  8. get enough sleep. A rested body will work as it should. Sleep at least 7-8 hours a day.
  9. Get a massage. According to experts oriental medicine, there are special points on the body. By acting on them, you can improve your well-being. Pressure is controlled by the point between the nose and upper lip. Gently massage it with your finger for 2 minutes in a clockwise direction. Do this when you feel weak.

First aid for hypotension and hypertension

If you feel dizzy severe weakness, tinnitus, call an ambulance. In the meantime, the doctors go, act:

  1. Open the collar of your clothes. The neck and chest should be free.
  2. Lie down. Lower your head down. Place a small pillow under your feet.
  3. Smell ammonia. If it is not available, use table vinegar.
  4. Have some tea. Definitely strong and sweet.

If you feel close hypertensive crisis, it is also necessary to call doctors. In general, this disease should always be supported preventive treatment. As first aid measures, you can resort to the following actions:

  1. Organize foot bath With hot water, in which mustard was previously added. An alternative would be to overlay mustard compresses on the region of the heart, neck and calves.
  2. Lightly bind the right, and then the left arm and leg for half an hour each side. When the tourniquet is applied, a pulse should be felt.
  3. Have a drink from chokeberry. It can be wine, compote, juice. Or eat jam from this berry.

To reduce the risk of occurrence and development of hypotension and hypertension, you should adhere to a regimen healthy eating, prevent the appearance excess weight, exclude harmful products from the list, move more.

Pressure should be measured from time to time. When observing a trend of high or low blood pressure, it is recommended to consult a doctor to determine the causes and prescribe treatment. Prescribed therapies may include methods to normalize blood pressure, such as taking special medications and herbal infusions diet, exercise, and so on.

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