DataToolsLab
Physics Calculators

Pressure Calculator

Solve P = F ÷ A for pressure, force or area, with selectable pressure units.

Loading tool…

What is Pressure?

Pressure is force spread over an area: P = F ÷ A. The same force over a smaller area gives a larger pressure, which is why a sharp knife cuts and a nail goes into wood — and why snowshoes spread the same weight over a larger area instead.

How it works

P = F ÷ A, rearranged for whichever field is blank. Forces in newtons, kilonewtons or pounds-force and areas in square metres, centimetres, millimetres or feet are converted to the base pair, and the pressure can be displayed in any of seven units — including mmHg and atmospheres, which is what a barometer or a tyre gauge actually reads.

  1. Enter what you know. Every field recalculates as you type — there is no submit button. Leave the quantity you want blank and the page solves for it.
  2. Read the answer and the working. The result appears above the fold; underneath it is the formula with your numbers substituted, so the arithmetic can be checked rather than trusted.
  3. Check the units and the size. Units are shown on every value and selectable per field, so a result in kJ, kPa or km/h is converted rather than assumed. Sanity-check the magnitude against a known landmark such as 1 g/cm³ for water.

Examples

A textbook problem with a known answer

Every tool here is checked against standard example problems — the molar mass of C6H12O6 is 180.16 g/mol, and free fall from 20 m takes about 2.02 s at g = 9.8 m/s².

A result you want to reason backwards from

Leave the quantity you already know blank instead: given the final answer, most tools recover the starting value — the mass needed for a target concentration, or the height a fall must have had.

Common mistakes

Forgetting that a formula is only as good as its subscripts

H2O and H2O2 are different compounds. The formula field shows its parse — element by element — so a mis-typed subscript is visible before it reaches the arithmetic.

Mixing units in the middle of a calculation

The most common source of a wrong answer is a value in grams next to a formula expecting kilograms, or Celsius next to a gas constant expecting kelvin. This category converts on the way in and labels what it used.

Frequently asked questions

Why does a sharp knife cut more easily?

Because the same force is concentrated onto a much smaller edge area, and pressure is force divided by area. Sharpening does not add force — it subtracts area.

What is atmospheric pressure in different units?

1 atm equals 101 325 Pa, 101.3 kPa, 1.013 bar, 760 mmHg or 14.7 psi. All of those are selectable here, and the Pressure converter in Units & Numbers converts between them.

Is pressure a vector?

No. Pressure acts equally in all directions at a point and has no direction, which is why it is a scalar unlike the force that causes it.

Online