Pascal (Pa)

Pressure unit · SI system

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The pascal is the SI unit of pressure, written Pa. It is defined as one newton of force spread over one square metre, and it is named after Blaise Pascal, whose experiments with barometers in the 1640s established that air has weight and that its pressure falls with altitude. The General Conference on Weights and Measures adopted the name in 1971.

It is a remarkably small unit. Atmospheric pressure at sea level is 101,325 pascals, so the pressure everyone lives under is a six-figure number, and almost every practical use of the unit therefore carries a prefix. That awkwardness is not a design fault but a consequence of coherence: the newton and the square metre were fixed first, and the pascal is whatever falls out of dividing one by the other.

Acoustics is the field where bare pascals are natural. The reference pressure for the decibel scale is twenty micropascals, taken as the quietest sound a healthy young ear can detect, and ordinary conversation is around 0.02 pascals of sound pressure. The threshold of pain sits near 63 pascals, so the entire range of human hearing spans about six orders of magnitude in this unit.

Everyday objects give a sense of the scale. A sheet of office paper lying flat presses on the desk with about 0.8 pascals. A gentle breeze exerts a few pascals on a wall, and the pressure difference that drives ventilation through a building is typically between ten and fifty. Anything a person can feel as force is already in the thousands.

Prefixed forms carry the real work. Weather uses hectopascals, which are numerically identical to the older millibars, so a forecast reading of 1013 needed no relearning. Engineering uses kilopascals for tyre and fluid pressures, and materials science uses megapascals and gigapascals for strength and stiffness, where one megapascal is one newton per square millimetre.

The pascal also appears wherever a stress rather than a pressure is meant, since the two have the same dimensions. Young's modulus, yield strength and shear stress are all quoted in pascals or their multiples, which is why a single unit spans the pressure in a tyre and the stiffness of steel.

One pascal equals 1 newton per square metre, 0.01 millibars, about 0.0000099 atmospheres, or about 0.000145 pounds per square inch.

Pascal conversion table

UnitSymbol1 Pascal equals1 of these equalsConverter
NanopascalnPa1000000000 nPa0.000000001 PaPascals to Nanopascals
MicropascalµPa1000000 µPa0.000001 PaPascals to Micropascals
MillipascalmPa1000 mPa0.001 PaPascals to Millipascals
CentipascalcPa100 cPa0.01 PaPascals to Centipascals
DecipascaldPa10 dPa0.1 PaPascals to Decipascals
Newton per square meterN/m²1 N/m²1 PaPascals to Newtons per square meter
DecapascaldaPa0.1 daPa10 PaPascals to Decapascals
HectopascalhPa0.01 hPa100 PaPascals to Hectopascals
KilopascalkPa0.001 kPa1000 PaPascals to Kilopascals
Barbar0.00001 bar100000 PaPascals to Bars
MegapascalMPa0.000001 MPa1000000 PaPascals to Megapascals
GigapascalGPa0.000000001 GPa1000000000 PaPascals to Gigapascals
TerapascalTPa1 × 10-12 TPa1000000000000 PaPascals to Terapascals
Atmosphereatm0.00000986923266716 atm101325 PaPascals to Atmospheres
Pound per square inchpsi0.00014503773773 psi6894.75729317 PaPascals to Pounds per square inch
Kilopound per square inchksi0.000000145037743897 ksi6894757 PaPascals to Kilopounds per square inch
Megapound per square inchMpsi1.45037743897 × 10-10 Mpsi6894757000 PaPascals to Megapounds per square inch