Hydrostatic Pressure (P = ρgh)

Also known as fluid pressure at depth · P = rho g h

P = \rho g h

P =

ρ =

h =

Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!

Constant used — built into this formula, no need to enter

g_{n} = 9.80665\ \text{m/s}^{2}

Standard acceleration of gravity · exact

Learning zone

A fluid column presses down with its own weight: every metre of water (ρ = 1000 kg/m³, g = 9.80665 m/s²) adds about 9.8 kPa — that's why your ears pop at the bottom of the deep end. This is gauge pressure; add atmospheric pressure for absolute. Water-treatment operators use the same relation daily to convert between metres of head and pump pressure.

Hydrostatic Pressure (P = ρgh)

P = \rho g h

Where

$P$ = Gauge pressure
$\rho$ = Fluid density
$h$ = Depth

Missing one of these? Work it out first, then come back

Gauge pressure — Gauge and Absolute Pressure, Pressure (P = F/A)
Fluid density — Terminal Velocity, Drag Force (F = ½CdρAv²)
Depth — Apparent Depth, Speed, Distance & Time