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Physics

Pressure from force and area

The defining relation. Divide the perpendicular force by the area that carries it, and the result is in pascals.

The Formula

P = F / A

The defining relation. Divide the perpendicular force by the area that carries it, and the result is in pascals.

SymbolMeaning
PPressure
FForce applied perpendicular to the surface
AContact area

What Each Symbol Means

Ppascals

Pressure

Force per unit area, in pascals when force is in newtons and area in square metres.

Fnewtons

Force applied perpendicular to the surface

Measured in newtons; only the component perpendicular to the surface counts.

Asquare metres

Contact area

In square metres. Halving it doubles the pressure for the same force.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate pressure page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Pressure, filed under Science. Every number the guide produces comes from substituting into this one line.