Hydraulic Pressure Calculator

Compute pressure in fluids from depth or from applied force on a piston.

g = 9.80665 m/s²

How to Use This Calculator

1

Choose mode

Pick depth-based (ρgh) for hydrostatics or force/area for pistons and presses.

2

Enter inputs

Use SI units to get pressure in Pascals (Pa).

3

Calculate and convert

View Pa and kPa. 1 bar = 100 kPa; 1 psi ≈ 6894.76 Pa.

Formula

Hydrostatic: P = ρ g h

Mechanical: P = F / A

Where: ρ = density (kg/m³), g = 9.80665 m/s², h = depth (m), F = force (N), A = area (m²).

Example: Water (ρ = 1000) at 5 m depth → P ≈ 49,033 Pa = 49.0 kPa.

About Hydraulic Pressure

Hydraulic pressure arises from fluid weight (hydrostatics) or applied forces in systems like presses and brakes. It is fundamental in fluid mechanics and hydraulics.

  • Gauge vs absolute pressure: depth formula gives gauge relative to surface.
  • Pascal's law: pressure transmits undiminished in incompressible fluids.

Frequently Asked Questions

How do I get pressure in psi?

Divide Pascals by 6894.76. Example: 100000 Pa ≈ 14.5 psi.

Does temperature matter?

Temperature changes density slightly. Update ρ for accurate hydrostatic pressure.

Is depth measured vertically?

Yes, h is the vertical depth below the free surface.