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Hydrostatic Pressure & Pascal Calculator

Compute fluid pressure at depth (gauge and absolute, in Pa/kPa/psi) or hydraulic force multiplication via Pascal's law.

About this tool

Hydrostatic Pressure & Pascal Calculator is a free, in-browser tool with two modes. 'Pressure at depth' finds the pressure a column of fluid exerts; 'Hydraulic (Pascal)' finds the force a hydraulic press multiplies through two pistons. Pick a fluid preset or enter any density — all math runs locally and nothing is uploaded.

At depth the gauge pressure is P = ρ·g·h, where ρ is fluid density, g is 9.81 m/s² and h is depth; the absolute pressure adds atmospheric pressure P₀ (default 101325 Pa). Results are shown in pascals, kilopascals, psi and atmospheres. In hydraulic mode, Pascal's law says pressure is equal throughout, so a force on the small piston becomes F₂ = F₁·(A₂ ÷ A₁) on the large one. Piston areas come from their diameters as A = π·d² ÷ 4, and the mechanical advantage is the area ratio A₂ ÷ A₁.

Use depth mode for diving, tank or dam calculations, and hydraulic mode to size a jack, brake or press. Every field is live, so you can see how doubling a piston diameter quadruples the output force.

Frequently asked questions

What is the difference between gauge and absolute pressure?
Gauge pressure P = ρ·g·h is the pressure due to the fluid column alone. Absolute pressure adds the atmospheric pressure pressing on the surface (default 101325 Pa), which is what an absolute gauge or a barometer would read.
How does the hydraulic (Pascal) mode work?
Pascal's law says pressure applied to a confined fluid is transmitted equally, so F₂ = F₁·(A₂ ÷ A₁). Areas are computed from diameters as π·d² ÷ 4, and the force multiplies by the ratio of the two piston areas.
What is the mechanical advantage of a hydraulic press?
It is the ratio of the output piston area to the input piston area, A₂ ÷ A₁. Because area scales with diameter squared, doubling the large piston's diameter gives four times the output force — at the cost of four times the travel.
Is anything sent to a server?
No. Pressures, densities and piston sizes are processed entirely in your browser; the tool works offline and uploads nothing.

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