basic

Hydrostatic Pressure at Depth Calculator

P = P₀ + ρ · g · h.

Compute the absolute pressure at a depth h below the surface of a fluid of density ρ, given the pressure at the free surface (typically atmospheric, 101 325 Pa): P = P₀ + ρ · g · h, with g = 9.80665 m/s². Reports the gauge pressure (ρgh), absolute pressure, and the equivalent in atm.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

m
kg/m³
Pa

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P = P₀ + ρ · g · h.

In depth

Compute the absolute pressure at a depth h below the surface of a fluid of density ρ, given the pressure at the free surface (typically atmospheric, 101 325 Pa): P = P₀ + ρ · g · h, with g = 9.80665 m/s². Reports the gauge pressure (ρgh), absolute pressure, and the equivalent in atm.