Pressure Calculator

Enter a force and area to calculate the pressure exerted — or flip the calculation to find force or area when pressure is known. Choose your preferred force units (N, kN, kgf, lbf), area units (mm², cm², m², in², ft²), and pressure units (Pa, kPa, bar, psi, atm) to get results in the unit system that works for you. The Pressure Calculator applies the formula P = F / A and solves for whichever variable you select.

Only needed when solving for Force or Area

Results

Result

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Result in Pascals (Pa)

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Result in Kilopascals (kPa)

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Result in PSI

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Result in Bar

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Formula Applied

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Pressure in Common Units

Results Table

Frequently Asked Questions

What is pressure and how is it defined?

Pressure is a physical quantity that describes the magnitude of a force distributed over a surface area. It is defined as the force applied perpendicular to a surface divided by the area of that surface. The greater the force and the smaller the area, the higher the resulting pressure.

What is the formula to calculate pressure?

The fundamental pressure formula is P = F / A, where P is pressure, F is the applied force, and A is the contact area. You can rearrange this to find force (F = P × A) or area (A = F / P) if the other two values are known.

What is the SI unit of pressure?

The SI unit of pressure is the Pascal (Pa), named after the French mathematician Blaise Pascal. One Pascal equals one Newton per square metre (1 Pa = 1 N/m²). In practice, kilopascals (kPa) and megapascals (MPa) are also commonly used for larger pressures.

What is standard atmospheric pressure?

Standard atmospheric pressure is defined as 101,325 Pa (approximately 101.325 kPa), which equals 1 atm, 14.696 psi, or 1.01325 bar. This is the average air pressure at sea level and is commonly used as a reference point in science and engineering.

What is the difference between PSI and Pascal?

PSI (pounds per square inch) is an imperial unit of pressure commonly used in the US for tire pressure, hydraulic systems, and gas cylinders. Pascal is the metric SI unit. 1 psi is approximately equal to 6,894.76 Pa or 6.895 kPa.

How do I calculate pressure from force and area?

Select 'Pressure (P)' as your calculation type, then enter the known force value and area value along with their respective units. The calculator divides the force (converted to Newtons) by the area (converted to m²) to get pressure in Pascals, then converts to your chosen output unit.

What are common real-world examples of pressure calculations?

Pressure calculations appear in many fields: tire pressure in vehicles, water pressure in plumbing, blood pressure in medicine, hydraulic press design in engineering, and atmospheric pressure in meteorology. For example, a 100 N force applied over 0.5 m² produces a pressure of 200 Pa.

Can this calculator find force or area from pressure?

Yes. Select 'Force (F)' to calculate force given pressure and area using F = P × A, or select 'Area (A)' to find the required contact area using A = F / P. Enter any two known values and the calculator solves for the third.

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