Pressure Calculator

Calculate pressure from force and area, or solve for force or area. Converts between Pa, kPa, bar, atm, psi and mmHg.

ResultEnter values to calculate
    Show calculation steps

    Pressure formula

    P = FA
    SymbolQuantitySI unitMeaning
    PPressurePaPressure
    FForceNForce acting perpendicular to the surface
    AAream²Area over which the force is spread

    What is Pressure?

    Pressure: Pressure is the force acting perpendicular to a surface divided by the area over which it acts.

    Pressure measures how concentrated a force is. The same force on a smaller area gives a higher pressure, which is why knives cut and snowshoes don't sink. The SI unit is the pascal (1 Pa = 1 N/m²).

    In gases, pressure comes from molecular collisions with the container walls (see the ideal gas law). Pressure differences drive bulk flow, while concentration differences drive diffusion.

    How to use this calculator

    1. Choose the quantity you want to find in the Calculate menu. It is highlighted as the result field.
    2. Enter the known values. Scientific notation such as 1.6e-11 is accepted.
    3. Select a unit for each value. Units are converted to SI automatically.
    4. The answer updates as you type. Open Show calculation steps to see the working, or use Copy result to share a link with your inputs.

    Worked example

    A 70 kg person (≈ 700 N) stands on 250 cm² of shoe sole.

    1. P = 700 / 0.025 = 28 kPa.

    Frequently asked questions

    How many pascals are in one atmosphere?

    1 atm = 101 325 Pa = 1.01325 bar = 760 mmHg = 14.696 psi.

    What is the difference between gauge and absolute pressure?

    Absolute pressure is measured from a perfect vacuum. Gauge pressure is measured relative to atmospheric pressure: P_abs = P_gauge + P_atm.