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Pressure is how concentrated a force is — the same push spread over a small area presses much harder than over a large one. That's why a sharp knife cuts and snowshoes stop you sinking: pressure is force divided by area, P = F ÷ A.
Choose what you want to find, enter the two you know, and get the result in pascals, newtons or square metres.
Pressure Calculator: step-by-step worked example
- Solve for
- Pressure (from force & area)
- Force (N)
- 686.5
- Area (m²)
- 0.035
- 1
Pressure
P = F ÷ A
686.5 N ÷ 0.035 m² = 19,614.29 Pa
- 2
In kilopascals
kPa = Pa ÷ 1,000
19,614.29 ÷ 1,000 = 19.6143 kPa
- 3
In bar and psi
1 bar = 100,000 Pa · 1 psi = 6,894.76 Pa
= 0.1961 bar · 2.845 psi
- Snowshoes (0.2 m²)3.43 kPa
- This example19.61 kPa
- One foot (0.0175 m²)39.23 kPa
- Stiletto heel (1 cm²)6,865 kPa
Good to know: A 70 kg person (≈ 686.5 N) standing on two shoe soles (≈ 0.035 m²) exerts ≈ 19.6 kPa; the same weight on a stiletto heel is hundreds of times more. Enter N and m² — divide cm² by 10,000.
Pressure Calculator — how it works
The pressure relation
| Solve for | Formula |
|---|---|
| Pressure P (Pa) | force ÷ area |
| Force F (N) | pressure × area |
| Area A (m²) | force ÷ pressure |
One pascal (Pa) is one newton per square metre — a small unit, so real pressures are often in kilopascals (kPa) or bar (1 bar = 100,000 Pa).
Why area matters so much
The same force over a tenth of the area gives ten times the pressure. This is the physics behind sharp blades, high-heeled shoes denting floors, and why a bed of nails works — spread over hundreds of points, your weight gives a survivable pressure at each one.
Absolute vs gauge pressure
This calculator gives the pressure from a force on an area. In fluids and gases, remember that a tyre or pressure gauge usually reads *gauge* pressure — the amount above atmospheric — while *absolute* pressure adds the roughly 101 kPa of the surrounding air.
Where it helps
Physics homework, hydraulics, working out the load on a surface, or the force a pressurised area produces. Convert your units to newtons and square metres first — pressure in pascals only comes out right when the inputs are in SI units.
Worked example
A force of 100 N pressing on an area of 2 m² gives a pressure of 100 ÷ 2 = 50 Pa. Shrink the contact area to 0.01 m² (100 cm²) and the same 100 N now gives 100 ÷ 0.01 = 10,000 Pa — two hundred times more, from nothing but a smaller area.
Frequently asked questions
How do I calculate pressure?+
Divide the force by the area it acts on: P = F ÷ A. A 100 N force on 2 m² gives 50 Pa. Keep force in newtons and area in square metres for a result in pascals.
What is a pascal?+
The pascal (Pa) is the SI unit of pressure: one newton per square metre. It is small, so pressures are often given in kilopascals (kPa) or bar; 1 bar = 100,000 Pa.
Why does a smaller area increase pressure?+
Pressure is force divided by area, so for a fixed force a smaller area means a larger pressure. Halving the area doubles the pressure — the principle behind sharp blades.
How do I find the force from pressure?+
Multiply the pressure by the area: F = P × A. A pressure of 50 Pa over 2 m² exerts a 100 N force.
What is the difference between gauge and absolute pressure?+
Gauge pressure is measured relative to atmospheric pressure (what a tyre gauge shows); absolute pressure adds atmospheric pressure (about 101 kPa) to that.
About this page
- Publisher:
- Kalkoro — Teknolojig Bilişim Teknolojileri A.Ş., İstanbul
- Written by:
- Ahmet Tur — Editor (Math, date & time, unit conversion, physics & chemistry, everyday tools)
- Reviewed by:
- Kübra Yıldız — Editor
Parameters come from official sources; the last update date is shown at the bottom of the page.
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