Pressure Calculator

Calculate pressure from force and area or find hydrostatic pressure from fluid density, depth, and gravity.

Pressure calculation
Choose a mechanical or fluid-pressure formula, then enter positive values in SI units.

About pressure calculations

Pressure measures how much force acts on each unit of area. In the International System of Units, pressure is measured in pascals, and one pascal equals one newton per square meter. The basic mechanical relationship is P = F / A. A fixed force therefore creates more pressure when it is concentrated over a smaller area and less pressure when it is distributed over a larger area. This simple idea explains why a sharp blade cuts more easily, wide tires reduce ground pressure, and hydraulic pistons can transmit useful forces. The force-and-area mode divides the applied force in newtons by the loaded area in square meters. It reports gauge-like applied pressure and does not automatically include atmospheric pressure. Inputs must describe a normal force distributed uniformly across the stated area. Real contact pressure can vary significantly when surfaces bend, have irregular geometry, or touch only at asperities. For those situations, the result is an average pressure rather than a complete stress distribution. The fluid mode calculates hydrostatic pressure with P = ρgh, where ρ is fluid density, g is gravitational acceleration, and h is vertical depth below the free surface. Hydrostatic pressure increases linearly with both density and depth. The default gravitational acceleration is standard Earth gravity, 9.80665 meters per second squared, but the field can be changed for local gravity or another planetary body. The formula assumes a stationary fluid with approximately constant density. It is suitable for liquids over modest depth but may need integration for compressible gases or fluids whose density changes strongly with pressure. Hydrostatic pressure from ρgh is gauge pressure relative to the pressure at the free surface. To obtain absolute pressure in an open tank, add local atmospheric pressure. At sea level, a conventional reference atmosphere is 101325 pascals, although weather and altitude alter the actual value. In a sealed vessel, add the measured pressure above the liquid rather than assuming atmospheric pressure. Keeping gauge and absolute pressure distinct is essential when checking cavitation, gas laws, sensor specifications, or pressure-vessel limits. Use consistent SI values in the displayed fields. Convert kilonewtons to newtons, square centimeters to square meters, and grams per cubic centimeter to kilograms per cubic meter before calculation. The output in pascals can be converted afterward: 1000 pascals equals one kilopascal, 100000 pascals equals one bar, and one pound per square inch is approximately 6894.76 pascals. This calculator is useful for physics exercises, hydraulic estimates, tank design, laboratory planning, and quick engineering checks. Safety-critical equipment still requires applicable codes, material analysis, pressure losses, dynamic loads, and verified measurements.

Pressure calculation examples

These examples compare concentrated force with pressure created by a static fluid column.

Known valuesPressureExplanation
1000 N over 0.01 m²100000 PaDividing force by area gives 100 kPa of average applied pressure.
Water at 10 m: ρ 1000 kg/m³, g 9.80665 m/s²98066.5 PaThis is hydrostatic gauge pressure and excludes pressure at the surface.
Oil at 5 m: ρ 850 kg/m³, g 9.80665 m/s²41678.26 PaThe lower-density liquid produces less pressure than water at the same depth.

How to use the pressure calculator

  1. Choose Force and Area for applied pressure or Fluid Density and Depth for hydrostatic pressure.
  2. Convert each known quantity to the SI unit shown in its field label.
  3. Enter positive values and adjust gravitational acceleration when the fluid is not under standard Earth gravity.
  4. Select Calculate Pressure and interpret the result in pascals.

Pressure calculator FAQ

What is the difference between pressure and force?

Force is a push or pull measured in newtons, while pressure is force distributed over area. The same force creates different pressures when the contact area changes.

Does hydrostatic pressure include atmospheric pressure?

The ρgh result is pressure relative to the fluid surface, so it is gauge pressure. Add the pressure acting on the surface when absolute pressure is required.

Why does fluid pressure depend on vertical depth?

Hydrostatic pressure comes from the weight of fluid above the measurement point. Horizontal position and container shape do not change the ideal pressure at equal vertical depth.

Can this calculator output psi or bar?

The calculator reports pascals to keep inputs and output in a coherent SI system. Divide pascals by 6894.76 for psi or by 100000 for bar.

Can I use the fluid formula for air?

The formula can approximate small air columns when density is nearly constant. For large altitude changes, air compressibility makes density variable and a barometric model is more appropriate.