'''Pressure''' is the application of force to a surface, and the concentration of that force in a given area. A finger can be pressed against a wall without making any lasting impression; however, the same finger pushing a
thumbtack can easily damage the wall, even though the force applied is the same, because the point concentrates that force into a smaller area.
More formally,
pressure (symbol:
p or
P) is the measure of the
normal component of force that acts on a unit
area, see also
stress (physics):
:
where:
- p is the pressure
- F is the normal component of the force
- A is the area
Often
F is taken to be the magnitude of the mean vector force normal to the surface of area
A upon which it exerts; the "surface" not necessarily being a that of a body, but for example the cross sectional area of a conduit.
The
gradient of pressure is
force density.
Pressure is sometimes measured not as an absolute pressure, but relative to
atmospheric pressure; such measurements are sometimes called
gauge pressure. An example of this is the air pressure in a tire of a car, which might be said to be "thirty PSI", but is actually thirty PSI above atmospheric pressure. In technical work, this is often written as "30 PSIG" or, more commonly, "30 psig", though other methods which avoid attaching this information to the unit of pressure are preferred.
1
In the human body, pressure is measured by
baroreceptors.
"Pressure is a scalar quantity, but teachers and authors do not appear to believe this in their hearts." (McClelland, 1987)
Scalar quantity
Let us look at a static gas; one that does not appear to move or flow. While the gas as a whole does not appear to move, the individual molecules of the gas, which we cannot see, are in constant random motion. Because we are dealing with a nearly infinite number of molecules and because the motion of the individual molecules is random in every direction, we do not detect any motion. If we enclose the gas within a container, we detect a pressure in the gas from the molecules colliding with the walls of our container. We can put the walls of our container anywhere inside the gas, and the force per area (the pressure) is the same. We can shrink the size of our "container" down to an infinitely small point, and the pressure has a single value at that point. Therefore, pressure is a scalar quantity, not a vector quantity. It has a magnitude but no direction associated with it. Pressure acts in all directions at a point inside a gas. At the surface of a gas, the pressure force acts perpendicular to the surface.
Hydrostatic pressure
Hydrostatic pressure is the pressure due to the
weight of a fluid.
:
where:
- ρ (rho) is the density of the fluid
- g is the acceleration due to gravity
- h is the height of fluid above the point being measured
Also see
Pascal's Law.
Stagnation pressure
Stagnation pressure is the pressure a fluid exerts when it is motionless. Consequently, although a fluid moving at higher speed will have a lower
static pressure, it may have a higher stagnation pressure. Static and stagnation pressure are related by the
Mach number of the fluid. In addition, there can be differences in pressure due to differences in the elevation (height) of the fluid. See
Bernoulli's equation.
The pressure of a moving fluid can be measured using a Pitot probe, or one of its variations such as a
Kiel probe or
Cobra probe, connected to a
manometer. Depending on where the inlet holes are located on the probe, it can measure
static pressure or
stagnation pressure.
Units
The
SI unit for pressure is the
pascal (Pa), equal to one newton per
square metre (N·m
-2 or kg·s
-2·m
-1). This special name for the unit was added in 1971; before that, pressures in SI were expressed in units such as N/m²
Non-SI measures (still in use in some parts of the world) include the
pound-force per square
inch (
PSI) and the
bar.
The cgs unit of pressure is
barye (ba). It is equal to 1 dyn·cm
-2.
Pressure is still sometimes expressed in kgf/cm² or g/cm² (often as kg/cm² and g/cm² without properly identifying the force units). The
technical atmosphere (symbol: at) is 1 kgf/cm².
In the
United States air pressure is still measured in inHg — inches of
mercury (as in the mercury
barometer). Some meteorologists prefer the hectopascal (hPa) for atmospheric air pressure, because it gives the same numbers as the older millibar (mbar).
Blood pressure is still measured in
millimetres of mercury in most of the world, and lung pressures in centimeters of water are still common. These obsolete
manometric units of pressure on the pressure exerted by the weight of some "standard" fluid under some "standard" gravity. They are effectively attempts to define a unit for expressing the readings of a
manometer. When millimetres or inches of mercury are used today, they have precise definitions which can be expressed exactly in terms of SI units, though there were considerable minor variations in earlier usage. The water-based units depend on the density of water, a measured rather than defined quantity.
The standard atmosphere (atm) is an established constant. It is approximately equal to typical air pressures at sea level and defined to be
:standard atmosphere = 101 325
Pa = 101.325 kPa = 1013.25 hPa.
A
rule of thumb commonly used by
Scuba divers is that one atmosphere is approximately equal to the pressure exerted by ten metres of water.
Non-SI units presently or formerly in use include the following:
- Atmospheres
- Manometric units:
- *Centimetres, inches and millimetres of mercury
- *Millimetres, centimetres, metres, inches and feet of water
- Customary and foot-pound-second units:
- *Kips, tons-force (short), tons-force (long), pounds-force, ounces-force, and poundals per square inch
- *Pounds-force, tons-force(short) and tons-force (long) per square foot
- Non-SI metric units:
- *bars and millibars
- *Kilograms-force (kiloponds), grams-force, tonnes-force (metric tons-force), newtons and dynes per square centimetre
- *Baryes = dyn/cm² and technical atmospheres = kgf/cm²
- *Kilograms-force and tonnes-force per square metre
Conversion table
Some popular pressure units and conversion factors
| |
Pascal |
bar |
N/mm2 |
kp/m2 |
kp/cm2 (=1 at) |
atm |
torr |
| 1 Pa (N/m2)= |
1 |
10-5 |
10-6 |
0.102 |
0.102×10-4 |
0.987×10-5 |
0.0075 |
| 1 bar (daN/cm2) = |
105 |
1 |
0.1 |
10,200 |
1.02 |
0.987 |
750 |
| 1 N/mm2 = |
106 |
10 |
1 |
1.02×105 |
10.2 |
9.87 |
7,501 |
| 1 kp/m2 = |
9.81 |
9.81×10-5 |
9.81×10-6 |
1 |
10-4 |
0.968×10-4 |
0.0736 |
| 1 kp/cm2 (1 at) = |
98,100 |
0.981 |
0.0981 |
10,000 |
1 |
0.968 |
736 |
| 1 atm (760 torr) = |
101,325 |
1.013 |
0.1013 |
10,330 |
1.033 |
1 |
760 |
| 1 torr (mmHg) = |
133 |
0.00133 |
1.33×10-4 |
13.6 |
0.00132 |
0.00132 |
1 |
See also
External links
----
Pressure can also be psychological, political, etc.; see also
peer pressure.
Category:Diving
Category:Meteorology
Category:Physical quantity
Category:Thermodynamics
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