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Pascal (unit)

From Wikipedia, the free encyclopedia
(Redirected fromHectopascal)
SI derived unit of pressure
"Pascals" redirects here. For other uses, seePascal (disambiguation).
"Hectopascal" redirects here. For the song, seeHectopascal (song).

pascal
Apressure gauge reading inpsi (red scale) and kPa (black scale)
General information
Unit systemSI
Unit ofpressure orstress
SymbolPa
Named afterBlaise Pascal
Conversions
1 Pain ...... is equal to ...
   SI base units:   kgm−1s−2
   US customary units:   1.45038×10−4 psi
   atmosphere:   9.86923×10−6 atm
   bar:   10−5 bar
   barye (CGS unit)   10 Ba

Thepascal (symbol:Pa) is the unit ofpressure in theInternational System of Units (SI). It is also used to quantifyinternal pressure,stress,Young's modulus, andultimate tensile strength. The unit, named afterBlaise Pascal, is anSI coherent derived unit defined as onenewton persquare metre (N/m2).[1] It is also equivalent to 10barye (10 Ba) in theCGS system. Common multiple units of the pascal are the hectopascal (1 hPa = 100 Pa), which is equal to onemillibar, and the kilopascal (1 kPa = 1000 Pa), which is equal to one centibar.

The unit of measurement calledstandard atmosphere (atm) is defined as101325 Pa.[2]Meteorological observations typically reportatmospheric pressure in hectopascals per the recommendation of theWorld Meteorological Organization, thus a standard atmosphere (atm) or typical sea-level air pressure is about 1013 hPa. Reports in the United States typically useinches of mercury[3] or millibars (hectopascals).[4][5] In Canada, these reports are given in kilopascals.[6]

Etymology

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The unit is named afterBlaise Pascal, noted for his contributions to hydrodynamics and hydrostatics, and experiments with abarometer. The namepascal was adopted for the SI unit newton per square metre (N/m2) by the 14thGeneral Conference on Weights and Measures in 1971.[7][8]

Definition

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The pascal can be expressed usingSI derived units, or alternatively solelySI base units, as:

1 Pa=1 N/m2=1 kg/(ms2)=1 J/m3{\displaystyle {\rm {1~Pa=1~N/m^{2}=1~kg/(m{\cdot }s^{2})=1~J/m^{3}}}}

where N is thenewton, m is themetre, kg is thekilogram, s is thesecond, and J is thejoule.[9]

One pascal is the pressure exerted by a force of one newton perpendicularly upon an area of one square metre.

Standard units

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The unit of measurement called anatmosphere or a standard atmosphere (atm) is101325 Pa (101.325 kPa).[10] This value is often used as a reference pressure and specified as such in some national and international standards, such as theInternational Organization for Standardization's ISO 2787 (pneumatic tools and compressors),ISO 2533 (aerospace) and ISO 5024 (petroleum). In contrast,International Union of Pure and Applied Chemistry (IUPAC) recommends the use of 100 kPa as a standard pressure when reporting the properties of substances.[11]

Unicode has dedicated code-pointsU+33A9 SQUARE PA andU+33AA SQUARE KPA in theCJK Compatibility block, but these exist only for backward-compatibility with some older ideographic character-sets and are thereforedeprecated.[12][13]

Uses

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The pascal (Pa) or kilopascal (kPa) as a unit of pressure measurement is widely used throughout the world and has largely replaced thepounds per square inch (psi) unit, except in some countries that still use theimperial measurement system or theUS customary system, including the United States.

Geophysicists use the gigapascal (GPa) in measuring or calculating tectonic stresses and pressures within theEarth.

Medicalelastography measures tissue stiffness non-invasively withultrasound ormagnetic resonance imaging, and often displays theYoung's modulus orshear modulus of tissue in kilopascals.

Inmaterials science andengineering, the pascal measures thestiffness,tensile strength andcompressive strength of materials. In engineering the megapascal (MPa) is the preferred unit for these uses, because the pascal represents a very small quantity.

Approximate Young's modulus for common substances[14]
MaterialYoung's modulus
(GPa)
Nylon 62–4
Hemp fibre35
Aluminium69
Tooth enamel83
Copper117
Structuralsteel200
Diamond1220

The pascal is also equivalent to the SI unit ofenergy density, the joule per cubic metre. This applies not only to the thermodynamics of pressurised gases, but also to the energy density ofelectric,magnetic, andgravitational fields.

The pascal is used to measuresound pressure.Loudness is the subjective experience of sound pressure and is measured as asound pressure level (SPL) on a logarithmic scale of the sound pressure relative to some reference pressure. For sound in air, a pressure of 20 μPa is considered to be at thethreshold of hearing for humans and is a common reference pressure, so that its SPL is zero.

The airtightness of buildings is measured at 50 Pa.[15]

In medicine, blood pressure is measured inmillimeters of mercury (mmHg, very close to oneTorr). The normal adult blood pressure is less than 120 mmHg systolic BP (SBP) and less than 80 mmHg diastolic BP (DBP).[16] Convert mmHg to SI units as follows:1 mmHg =0.13332 kPa. Hence the normal blood pressure in SI units is less than 16.0 kPa SBP and less than 10.7 kPa DBP. These values are similar to the pressure of water column of average human height; so pressure has to be measured on arm roughly at the level of the heart.

Hectopascal and millibar units

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Main article:Bar (unit)

The units of atmospheric pressure commonly used inmeteorology were formerly thebar (100000 Pa), which is close to the average air pressure on Earth, and the millibar. Since the introduction ofSI units, meteorologists generally measure atmospheric pressure in hectopascals (hPa), equal to 100 pascals or 1 millibar.[17][18][19][20][21][22][23] Exceptions include Canada, which uses kilopascals (kPa). In many other fields of science, prefixes that are a power of 1000 are preferred, which theoretically excludes hectopascal from use.[24][25]

Many countries still use millibars to measure atmospheric pressure. In practically all other fields, the kilopascal is used instead.[26]

Multiples and submultiples

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Decimal multiples and submultiples are formed using standardSI units.

MultiplesSubmultiples
ValueNameSymbolValueNameSymbol
101 PadecapascaldaPa10−1 PadecipascaldPa
102 PahectopascalhPa10−2 PacentipascalcPa
103 PakilopascalkPa10−3 PamillipascalmPa
105 Pabar (non-SI unit)bar
106 PamegapascalMPa10−6 PamicropascalμPa
109 PagigapascalGPa10−9 PananopascalnPa
1012 PaterapascalTPa10−12 PapicopascalpPa
1015 PapetapascalPPa10−15 PafemtopascalfPa
1018 PaexapascalEPa10−18 PaattopascalaPa
1021 PazettapascalZPa10−21 PazeptopascalzPa
1024 PayottapascalYPa10−24 PayoctopascalyPa
1027 ParonnapascalRPa10−27ParontopascalrPa
1030 PaquettapascalQPa10−30 PaquectopascalqPa

See also

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References

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  1. ^International Bureau of Weights and Measures (2006),The International System of Units (SI)(PDF) (8th ed.), p. 118,ISBN 92-822-2213-6,archived(PDF) from the original on 4 June 2021, retrieved16 December 2021
  2. ^"Definition of the standard atmosphere".BIPM. Retrieved16 February 2015.
  3. ^"National Weather Service glossary page on inches of mercury".
  4. ^"US government atmospheric pressure map".
  5. ^"The Weather Channel".
  6. ^Canada, Environment (16 April 2013)."Canadian Weather – Environment Canada".weather.gc.ca.
  7. ^bipm.fr.Archived 30 June 2007 at theWayback Machine.
  8. ^Minutes of the 14. General Conference on Weights and Measures, 1971, p. 78.
  9. ^Table 3 (Section 2.2.2).Archived 18 June 2007 at theWayback Machine.SI Brochure.International Bureau of Weights and Measures.
  10. ^"Resolution 4 of the 10th meeting of the CGPM".Conférence Générale des Poids et Mesures. 1954. Archived fromthe original on 30 March 2021. Retrieved5 April 2010.
  11. ^IUPAC.org, Gold Book,Standard Pressure
  12. ^"CJK Compatibility"(PDF). 2015. Retrieved21 February 2016.
  13. ^The Unicode Standard, Version 8.0.0. Mountain View, CA: The Unicode Consortium. 2015.ISBN 978-1-936213-10-8. Retrieved21 February 2016.
  14. ^"Tensile Modulus – Modulus of Elasticity or Young's Modulus – for some common Materials". Retrieved16 February 2015.
  15. ^"Chapter 7 ResNet Standards: ResNet National Standard for Home Energy Audits"(PDF). ResNet. 2010. Archived fromthe original(PDF) on 26 July 2011. Retrieved3 March 2011.
  16. ^"BP Guideline | Target:BP".American Heart Association. Retrieved18 May 2020.
  17. ^"KNMI – Weer – Waarnemingen". Retrieved4 December 2016.
  18. ^"Comment convertir la pression? – IRM". Retrieved4 December 2016.
  19. ^"DWD". Archived fromthe original on 10 February 2008. Retrieved20 December 2006.
  20. ^"Japan Meteorological Agency – Weather Maps". Retrieved4 December 2016.
  21. ^"MDD". Archived fromthe original on 6 May 2006.
  22. ^NOAA
  23. ^United Kingdom, Met Office."Key to symbols and terms". Retrieved4 December 2016.
  24. ^"CTV News, weather; current conditions in Montreal". Archived fromthe original on 4 June 2011.
  25. ^Canada, Environment."Montréal, QC – 7 Day Forecast – Environment Canada". Archived fromthe original on 30 November 2017. Retrieved4 December 2016.
  26. ^Ambler Thompson (Editor)Guide for the Use of the International System of Units (SI) (rev. ): The ..., p. 66, atGoogle Books
Base units
Derived units
with special names
Other accepted units
See also
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