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Hydrostatic pressure calculator

Calculate the pressure beneath a liquid surface. Enter surface pressure as zero for gauge pressure or as an absolute pressure for an absolute result.

Calculator

Rounded textbook references. Custom density is used only for Custom; the reference is ignored when solving for density. Use measured data for other conditions.

Water near 4 C is approximately 1000 kg/m3. Use the density at your temperature.

Pressure at depth
120,938
Fluid density
1,000
Pressure increase below surface
19,613.3

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How this calculator works

At rest, a fluid column is supported by a vertical pressure gradient. Integrating for constant density gives a pressure rise proportional to depth. The container shape and total liquid volume do not enter this local relation. The default density is the rounded water value near 4 C; temperature, salinity and compression can change it. This model is unsuitable for a deep gas column with strongly varying density.

Formula

p = p0 + rho g h. Gauge increase = p - p0. Rearrange the equation for the selected unknown; g defaults to standard gravity, 9.80665 m/s2.

Worked example

At 2 m depth in water of density 1000 kg/m3, standard gravity adds 19613.3 Pa. Under a 101325 Pa surface pressure, the result is 120938.3 Pa absolute.

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Frequently asked questions

Does a wider tank create more pressure?

At the same fluid density and depth, the local pressure is the same. A larger base can experience a larger total force.

What is gauge pressure?

It is pressure relative to a chosen reference, often local atmospheric pressure. Set surface pressure to zero to calculate the increase alone.

Why can density not be found at zero depth?

At the surface there is no hydrostatic pressure increase, so the measurement contains no information about density.

Sources

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