Unit category

Pressure Conversions

Learn how pressure conversions work and convert between pascal, kilopascal, bar, PSI, atmospheres, mmHg and kgf/cm² with practical formulas and reference relationships.

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0.001 kPa1 Pa = 0.001 kPa

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Detailed guide to Pressure

Pressure describes how much force is distributed over a given area. It is a central quantity in fluid mechanics, thermodynamics, structural engineering, meteorology and many industrial processes.

The SI derived unit of pressure is the pascal, but practical work often also uses kilopascal, bar and PSI. Understanding the relationships between these units makes it easier to compare readings from scientific instruments, industrial equipment and automotive gauges.

Physical quantity
Pressure
SI derived unit
Pascal
SI symbol
Pa
Dimension formula
M L⁻¹ T⁻²
Definition of 1 pascal
1 newton per square meter

What is pressure?

Pressure is the amount of force applied per unit area. When the same force acts on a smaller area, the pressure increases; when it is spread over a larger area, the pressure decreases.

In physics and engineering, pressure appears in gases, liquids, hydraulic systems, weather measurements, material loading and many other applications where forces act across surfaces.

The pascal as the SI pressure unit

The pascal is the SI derived unit of pressure and is defined as one newton per square meter. This definition connects pressure directly to the SI units of force and area.

Because the pascal is a relatively small unit, larger multiples such as the kilopascal are often used in practical measurement and engineering documents.

Kilopascal, bar and PSI

One kilopascal equals 1,000 pascals, making it convenient for building loads, atmospheric values and many engineering measurements. One bar equals 100,000 pascals and is widely used in compressors, hydraulics and industrial pressure systems.

PSI, or pound-force per square inch, belongs to Anglo-American engineering usage and remains common for tire pressure, hydraulic equipment and service manuals. These units coexist in practice, so accurate conversions are essential.

The history of pressure measurement: Torricelli and the barometer

Systematic pressure measurement began in 1643 when the Italian scientist Evangelista Torricelli built the first mercury barometer. He filled a glass tube closed at one end with mercury and inverted it into a dish of mercury, observing that the mercury column settled at a fixed height, leaving a vacuum above it.

Torricelli proposed that the height of the mercury column was balanced by the weight of the surrounding air, giving the first experimental evidence that air itself has measurable weight and therefore exerts pressure. This insight marked the beginning of pressure as a scientific quantity.

In 1648, Florin Périer carried a barometer up the Puy-de-Dôme mountain at Blaise Pascal's suggestion and showed that atmospheric pressure decreases with altitude. Later milestones built on this foundation, including the 1875 Metre Convention that coordinated measurement units internationally, the exact 1954 definition of the standard atmosphere, and the 1971 adoption of the pascal as the SI pressure unit.

Absolute, gauge and differential pressure

Absolute pressure is measured against a perfect vacuum, which represents true zero pressure. Gas laws, thermodynamic calculations and several density-related relationships require absolute pressure to give correct results.

Gauge pressure is measured relative to the surrounding atmospheric pressure. Most field pressure gauges are zeroed against the local atmosphere, so the value read on a dial is almost always a gauge pressure. Absolute and gauge pressure are related by: absolute pressure = gauge pressure + atmospheric pressure.

Differential pressure is the difference between two points, such as across a filter, an orifice plate or the two sides of a heat exchanger. It is referenced to neither a vacuum nor the atmosphere, but directly to another pressure point, which makes it especially useful for flow measurement and monitoring equipment condition.

How are pressure units converted?

A pressure conversion preserves the same physical pressure while expressing it with another unit. The numerical value changes according to the defined factor between the two units.

For example, one bar equals 100 kilopascals, and one PSI equals 6,894.757293168 pascals. Using exact factors helps avoid cumulative error in engineering calculations and reporting.

Where are pressure units used?

Pressure units are used in weather observations, gas cylinders, pumps, boilers, hydraulic circuits, pneumatic systems, process engineering and automotive maintenance. The preferred unit often depends on industry standards and local practice.

Scientific and regulatory documents often prefer pascals or kilopascals, while equipment labels and gauges may use bar or PSI. This is why a clear reference table and reliable converter are useful.

Pressure units

UnitSymbolInformation
PascalPaView unit guide
KilopascalkPaView unit guide
BarbarView unit guide
PSIpsiView unit guide
Millimeter of MercurymmHgView unit guide
Kilogram-Force per Square Centimeterkgf/cm²View unit guide
AtmosphereatmView unit guide

Full conversion factor matrix

Each cell shows how many units of the column header equal one unit of the row header. For example, the row "bar" crossed with the column "psi" shows how many PSI equal one bar.

1 unit ↓ / equals →PabaratmpsimmHgkgf/cm²
Pa10.000010.000009869230.0001450380.007500620.0000101972
bar100,00010.98692314.5038750.0621.01972
atm101,3251.01325114.69597601.03323
psi6,894.760.06894760.068046151.71490.070307
mmHg133.3220.001333220.001315790.019336810.00135951
kgf/cm²98,066.50.9806650.96784114.2233735.5591

Which unit is used in which industry?

Industry / contextCommon unitNotes
Scientific and engineering calculationsPa / kPaSI-compliant reporting, theoretical calculations and materials science use pascal and its multiples (kPa, MPa) directly.
Industrial process and hydraulic systemsbar / kgf/cm²Compressors, boilers, hydraulic presses and process lines typically use bar, with kgf/cm² still seen on older gauges.
Automotive and tire pressurePSI / barTire and hydraulic system pressures are most commonly labeled in PSI worldwide, with bar used in many other regions.
MeteorologyhPaWeather reports, pressure maps and barometric readings use hectopascal (hPa) as the standard unit.
Medicine and healthcaremmHgBlood pressure readings and some respiratory or vacuum equipment are traditionally expressed in mmHg.

Sources

The definitions and conversion relationships on this page are aligned with standard metrology and SI reference material.

  1. BIPM: The International System of Units (SI Brochure)
  2. NIST: Pressure and Gas Flow Unit Conversions
  3. NIST: Guide to the SI — Conversion Factors

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