# Bar and Psi Calculator

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### Result

Simply convert between BAR and PSI using this calculator.

There’s a simple relation between BAR and PSI: 1 bar equals 14.5038 psi.

So just multiply or divide by 14.5038 to convert between BAR and PSI.

Pressure and force

You don’t need to know this to use this calculator, just some extra information for those interested:

Both BAR and PSI are units of pressure. Pressure is a force per a certain area.

PSI

In the case of PSI, this is simple: PSI means ‘Pounds per Square Inch’.

So if we have 100 psi pressure, that pressure pushes with a force of 100 pounds per square inch.

In the case of a pneumatic piston with a piston area of 2 square inch, that piston would push outward with 2 * 100 = 200 pounds of force.

BAR

The bar is a metric unit, but not the official SI unit for pressure. The official SI unit is Pascal.

1 bar equals 100.000 Pascal.

And 1 pascal equals 1 N / m2 (1 Newton per square m). Note that this is all in official SI units: Pascal, Newton, Meter.

So 1 bar is 100.000 Newton per square meter.

If we convert this to square mm (easier to work with), we come to:

1 bar = 0.1 N/mm2 (Newton per square millimeter)

So if we have 7 bar pressure, that pressure pushes with a force of 0.7 Newton per square millimeter.

In the case of a pneumatic piston with an area of 1500 square mm, that piston would push outward with 1500 * 0.7 = 1050 newton.

Extra check/example:

In our PSI example, we had a pneumatic piston with an area of 2 square inch. We apply 100 PSI. The piston pushes out with a force of 200 pound-force..

2 square inch = 1290 square mm
100 psi = 6.89 bar (use the calculator! 🙂 )

6.89 * 0.1 * 1290 = 888.81 Newton

If we convert 888.81 Newton to pound-force, we are back at 200 pound-force!

(for those curious: 1 pound = 0.453592 kg. 0.453592 kg = 4.448 Newton (multiply by 9.80665). 200 * 4.448 = 889.6 Newton. Close enough because of rounding errors!)

Our calculations are correct!