Hydrostatic Pressure Calculator

Created by Dominik Czernia, PhD
Reviewed by Bogna Szyk and Adena Benn
Last updated: Nov 26, 2022

This hydrostatic pressure calculator determines the pressure that arises at a certain depth of a liquid. Have you ever wondered what is the pressure level in water compared to the atmospheric pressure? What determines the pressure? Read on if you want to find out how you can estimate fluid pressure using the hydrostatic pressure equation. You can also check our air pressure at altitude calculator if you don't want to go deeper but higher.

Fluid pressure

Each particle of a liquid is subjected to a gravitational force directed toward the Earth. The deeper we are, the more such particles are above us, and the higher the fluid pressure (because the acting force is greater - see our pressure calculator). If the fluid is at rest, we call it hydrostatic pressure. An interesting fact is that the value of hydrostatic pressure does not depend on the size and shape of the tank but only on the depth. Surprisingly, the same hydrostatic pressure will be present in the huge pool and thin pipe, provided they have the same height.

To explore fluid pressure further, visit our PSI to GPM calculator.

Hydrostatic pressure equation

Our hydrostatic pressure calculator uses the below hydrostatic pressure formula:

p = ρ × g × h + p0,

where:

  • p – Hydrostatic pressure;
  • ρ – Density of fluid;
  • g – Gravitational acceleration (the average value for the Earth is g = 9.80665 m/s²);
  • h – Depth; and
  • p0 – External pressure (usually atmospheric pressure p0 = 1 atm = 1013.25 hPa).

The above formula for hydrostatic pressure determines buoyancy force, which was discovered for the first time by an ancient inventor – Archimedes. See our buoyancy calculator for more information. In our hydrostatic pressure calculator's advanced mode, you can change the gravitational acceleration g and the external pressure p0.

The deepest place on the Earth

The deepest part of the world's oceans is the Mariana Trench which is located in the Pacific Ocean. It reaches the highest known depth of 10.994 m. Let's use our hydrostatic pressure calculator to estimate the pressure at the bottom of the Marian Trench (remember to choose salty water with ρ = 1022 kg/m³). Astonishingly, the pressure here is more than 1000 times bigger than the atmospheric pressure!

FAQ

What is hydrostatic pressure?

The pressure fluid at rest generates because of the earth's gravitational pull. In the case of fishes, the whole column of water they have above them plus the atmospheric pressure generates the hydrostatic pressure.

What is the hydrostatic pressure on a 2 meter pool?

1.20 atm or 120.94 kPa as per the Omnicalculator tool hydrostatic pressure calculator. You can verify it by following the next procedure:

  1. Use the hydrostatic pressure equation and multiply water density by pool dept and by the constant of gravity. The result will be 19.613 kPa.
  2. Add the atmospheric pressure, which is 101.33 kPa. The final fluid pressure will be 120.94 kPa.

How to get more water pressure?

To increase hydrostatic fluid pressure at a specific point, we have to increase the vertical distance between the water source and the point. For example, if you want more pressure on your bathroom faucet, you could hire people to move your house water tank to an upper level.

What is the difference between pressure and hydrostatic pressure?

Hydrostatic pressure is a specific type of pressure. While pressure generally refers to any force applied into an area, hydrostatic pressure refers to the force that is generated on a region because of having a column of fluid at rest above that region. The deeper the region below a fluid, the higher the hydrostatic pressure.

Dominik Czernia, PhD
Fluid (optional)
Water (pure)
Density of fluid
kg/m³
Depth
m
Hydrostatic pressure
atm
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