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Pressure

 

Online calculator — enter the values and get the result instantly, with the formula and a worked example.

Photo
Pressure
Formula & notes

F = Pressure force

S = surface

What is it?

Pressure describes how concentrated a force is, measuring the force that pushes perpendicularly against a surface divided by the size of that surface. The same force feels very different depending on the area it acts on: spread over a large surface it is gentle, but squeezed onto a tiny point it becomes intense. That is why a sharp knife cuts easily while a blunt one does not, and why lying on a bed of many nails is survivable when standing on a single one is not. In the metric system pressure is measured in pascals, where one pascal equals one newton spread over one square metre. Because a pascal is very small, everyday values are often given in kilopascals, bars, or atmospheres.

Pressure is everywhere in daily life and engineering: it inflates our tyres, drives water through pipes, holds up hydraulic lifts, and keeps aircraft cabins comfortable at altitude. The atmosphere itself presses on us constantly, and changes in air pressure help forecasters predict the weather. Understanding pressure lets engineers design safe boilers, dams, and pressure vessels, and helps doctors interpret blood pressure. In short, knowing the force and the area over which it acts tells you how much strain a surface must withstand.

Calculator

Pressure p

Pressure p in Pa and kPa
Interactive graph

Magic triangle: cover what you want to find — the rest is the formula

F p S F = pressure force · p = pressure · S = area

Discover more
Worked example

What pressure is produced by a force of 45 kN acting on an area of 4.5 m²?

F = 45 kN = 45 000 N

S = 4.5 m²

p = F : S

p = 45 000 : 4.5 → p = 10 000 Pa = 10 kPa



 

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