Hydrostatic Pressure Calculator

Fast, accurate, and free online Hydrostatic Pressure Calculator tool that runs directly in your browser.

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Client-Side Processing

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Instructions

1

Enter data
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2

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3

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                                                function runTool() {

                                                  return "Result ready in 0.1s";

                                                }

Hydrostatic Pressure Calculator

p = ρ·g·h. p_abs = p0 + p_g. h = p_g / (ρ·g). Units: Pa/kPa/bar/atm, m/cm/mm, m²/cm².

Mode

Fluid

Density ρ (kg/m³)

g (m/s²)

Decimal places

Pressure reference

Reference pressure p0 (Pa)

Depth h

Pressure p

Depth h

Area A

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Hydrostatic pressure calculator - depth, density, force on the surface

Calculate thehydrostatic pressureat a given depth and theforce acting on the wall or bottomof the tank. Just select a liquid (e.g. water, seawater, oil, mercury), provide the density (or use the hint), specify the depth, optionally the level difference and the surface. The calculator returns results inPa, kPa, barand asliquid column[m H₂O], and also calculatesforce F i resultant pressurewith the position of the center of pressure.

hydrostatic pressure p = ρ·g·h water column force on the wall center of pressure water / sea water oil / mercury Pa kPa bar

Run hydrostatic pressure calculator Formulas and examples

What does the

tool calculate? Hydrostatic pressureat depth h: p = ρ·g·h (+ p₀, if we calculate absolute pressure).
Conversions: Pa ↔ kPa ↔ bar and equivalentliquid column[m H₂O].
Force on a horizontal and verticalsurface (wall), includingresultanton a rectangular/round plate.
Center of pressure(point of application of the resultant force) for vertical planes.
Level differences(e.g. U-tube, two tanks connected, differential pressure gauge).
Density values for popular liquids with the possibility of manual editing and reference temperature.

Basic formula and definitions

p = ρ · g · h

p – hydrostatic pressure [Pa], ρ – liquid density [kg/m³], g – acceleration due to gravity [9.81 m/s²], h – depth [m].

p_abs= p₀+ ρ·g·h p_man= ρ·g·h

p₀– reference pressure (usually atmospheric). p_manis the overpressure relative to the surroundings.

Pressure force on the surface

Horizontal plane (e.g. bottom)

Uniform pressure:p = ρ·g·h. Force:

F = p · A = ρ·g·h · A

Resultant applied at the geometric center of the surface.

Vertical plane (tank wall)

Pressure increases linearly with depth - triangular distribution. The average pressure is equal to p at depthh_avg(the center of gravity of the field).

F = ρ·g·A·h_cg

Location of the center of pressure (for a rectangular plate of height H, the upper edge at the level of the free surface):

y_R= (I_cg/ (A·h_cg)) + h_cg, I_cg= (b·H³)/12