Home / Hydrostatic Pressure Calculator

Hydrostatic Pressure Calculator

Hydrostatic pressure increases with fluid density, gravity and depth. This calculator reports gauge pressure and adds a supplied surface pressure to estimate absolute pressure.

How to use this calculator

  1. Enter fluid density, depth, gravity and the absolute pressure at the surface, using pascals for pressure values.
  2. Check the labels and units before applying the result to a real task.
  3. Change one input at a time when comparing scenarios.

Formula and method

Pgage = ρgh; Pabsolute = Psurface + ρgh

  • Pgage = ρgh; Pabsolute = Psurface + ρgh
  • The formula assumes a static fluid with approximately constant density. Flow speed, pressure loss and changing fluid composition are not included.

Worked examples

Worked example

At 10 m below water with density 1,000 kg/m³ and gravity 9.81 m/s².

Gauge pressure is 1,000×9.81×10 = 98,100 Pa; at 101,325 Pa surface pressure, absolute pressure is 199,425 Pa.

Gauge pressure is 1,000×9.81×10 = 98,100 Pa; at 101,325 Pa surface pressure, absolute pressure is 199,425 Pa.

Understanding the result

Hydrostatic pressure increases with fluid density, gravity and depth. This calculator reports gauge pressure and adds a supplied surface pressure to estimate absolute pressure.

The formula assumes a static fluid with approximately constant density. Flow speed, pressure loss and changing fluid composition are not included.

Important notes

The formula assumes a static fluid with approximately constant density. Flow speed, pressure loss and changing fluid composition are not included.

Displayed values are rounded for readability; retain appropriate precision when continuing a calculation.

Frequently asked questions

What is gauge pressure?

Gauge pressure is the amount above the local surface pressure. Absolute pressure includes both the surface reference pressure and the fluid-column pressure.

Why does density matter?

A denser fluid has more mass per unit volume, so the same depth produces a larger fluid-column pressure.

Can I use this for moving pipes?

It estimates static pressure with depth. Flowing systems need additional relationships for velocity, friction and local losses.

Related calculators

  • Pressure Calculator — Calculate pressure from force and area.
  • Ideal Gas Pressure Calculator — Estimate ideal-gas pressure from amount of gas, absolute temperature and container volume using SI units.
  • Conductor Resistance from Resistivity Calculator — Estimate conductor resistance from material resistivity, length and cross-sectional area with unit conversion.
  • Reynolds Number Calculator — Calculate Reynolds number from fluid density, speed, characteristic diameter and dynamic viscosity.
  • Solution Dilution Calculator — Estimate final concentration and solvent volume using solute conservation in a dilution.
  • Buoyant Force Calculator — Estimate buoyant force from fluid density and displaced volume, then compare it with an object’s weight.

Related explanations

Learn the method behind the number or compare the terminology before using the calculator.

  • Density — Understand density, mass, volume, and the basic density formula used in science and measurement.
  • Area — Understand area as the amount of two-dimensional surface inside a shape and review common formulas.

This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.

Explore more calculation resources

Keep exploring related tools, explanations, conversions, and topic pages in The Calc Studio. These links are selected around the subject of this page so you can move to the next useful calculation without returning to search.

Related calculators

  • Ideal Gas Pressure Calculator — Estimate ideal-gas pressure from amount of gas, absolute temperature and container volume using SI units.
  • Pressure Calculator — Calculate pressure from force and area.
  • Reynolds Number Calculator — Calculate Reynolds number from fluid density, speed, characteristic diameter and dynamic viscosity.
  • Buoyant Force Calculator — Estimate buoyant force from fluid density and displaced volume, then compare it with an object’s weight.
  • Conductor Resistance from Resistivity Calculator — Estimate conductor resistance from material resistivity, length and cross-sectional area with unit conversion.
  • Solution Dilution Calculator — Estimate final concentration and solvent volume using solute conservation in a dilution.
Browse by categoryScience & Electronics CalculatorsEveryday ToolsConstruction CalculatorsBusiness CalculatorsDate & Time CalculatorsFinancial Calculators

Task collections

  • Science & Electronics Calculators — Free science and electronics calculators for projectile motion, force, buoyancy, fluid pressure, Reynolds number, heat transfer, capacitors, RC time constants, resistance, and electrical relationships.
  • Home Project Calculators — Free home and construction calculators for square footage, roofing, stairs, tile, concrete, framing stud counts, steel plate weight, siding, countertops, insulation, and material estimates.
  • Calculators for Students — Free student calculators for grades, percentages, fractions, probability, normal distributions, matrices, vectors, complex numbers, statistics, geometry, and scientific math.
  • Math & Statistics Calculators — Free math and statistics calculators for Bayes theorem, set operations, matrices, complex numbers, vector products, normal distributions, averages, percentages, standard deviation, geometry, equations, and number systems.

Related guides

  • How to Calculate Percent Error — Learn the percent error formula and how to compare an experimental value with a reference or accepted value.
  • How to Calculate Percentage Change — Learn the percentage change formula, how to calculate increases and decreases, and why the original value matters.
  • How to Calculate a Z-Score — Learn how a z-score shows how far a value is from the mean in standard-deviation units.

Related terms

  • Area — Understand area as the amount of two-dimensional surface inside a shape and review common formulas.
  • Density — Understand density, mass, volume, and the basic density formula used in science and measurement.
  • Percentage Change — Learn what percentage change means, how to calculate increases and decreases, and how the original value affects the result.

Useful conversions

  • °C to °F — Convert Celsius to Fahrenheit with a free temperature converter, formula, examples, and common temperatures.
  • °F to °C — Convert Fahrenheit to Celsius with a free temperature converter, formula, examples, and common temperatures.
  • cm to feet — Convert centimeters to feet with a free cm to feet converter, formula, examples, and a quick reference table.

Browse all calculators · Read all guides · Open the glossary · See all converters · Browse collections

Want to keep learning? Move from a calculator to its formula guide, glossary definition, unit conversion, or task collection to compare related methods and tools.

Optional Premium: save calculation history across visits and remove promotional blocks. See Premium.