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Hydrostatic Pressure

Depth and hydrostatic pressure

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hydrostatic pressure

Hydrostatic pressure in a liquid can be calculated as

p = ρ g h                         (1)

where

p = pressure in liquid (N/m2, Pa, lbf/ft2, psf)

ρ = density of liquid (kg/m3, slugs/ft3)

g = acceleration of gravity (9.81 m/s2, 32.17405 ft/s2)

h = height of fluid column - or depth in the fluid where pressure is measured (m, ft)

Hydrostatic pressure in a water column - or depth (density of water 1000 kg/m3):

Height of Water ColumnPressure
(m)(ft)(kPa)(bar)(atm)(psi)
1 3.28 9.81 0.098 0.097 1.42
2 6.56 19.6 0.196 0.194 2.85
3 9.84 29.4 0.294 0.290 4.27
4 13.1 39.2 0.392 0.387 5.69
5 16.4 49.1 0.491 0.484 7.11
6 19.7 58.9 0.589 0.581 8.54
7 23.0 68.7 0.687 0.678 10.0
8 26.2 78.5 0.785 0.775 11.4
9 29.5 88.3 0.883 0.871 12.8
10 32.8 98.1 0.981 0.968 14.2
12 39.4 118 1.18 1.16 17.1
14 45.9 137 1.37 1.36 19.9
16 52.5 157 1.57 1.55 22.8
18 59.0 177 1.77 1.74 25.6
20 65.6 196 1.96 1.94 28.5
25 82.0 245 2.45 2.42 35.6
30 98.4 294 2.94 2.90 42.7
35 115 343 3.43 3.39 49.8
40 131 392 3.92 3.87 56.9
50 164 491 4.91 4.84 71.1
60 197 589 5.89 5.81 85.4
70 230 687 6.87 6.78 100
80 262 785 7.85 7.75 114
90 295 883 8.83 8.71 128
100 328 981 9.81 9.68 142

hydrostatic pressure water kPa Pa bar psi meter feet

Example - Pressure acting in water at depth 1 m

The density of water at 4oC is 1000 kg/m3. The pressure acting in water at 1 m can be calculated as

p = ρ g h

   = (1000 kg/m3) (9.81 m/s2) (1 m)

   = 9810 Pa

Example - Pressure acting in water at depth 3 ft

The density of water at 32oF is 1.940 slugs/ft3. The pressure acting in water at 3 ft can be calculated as

p = ρ g h

   = (1.940 slugs/ft3) (32.17405 ft/s2) (3 ft)

   = 187.3 lbf/ft2 (psf)

   = 1.3 lbf/in2 (psi)

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  • en: hydrostatic pressure water static psi bar kPa Pa meter feet
  • es: agua de la presión hidrostática bar psi estática kPa Pa pies metros
  • de: hydrostatische Druckwasser statische psi bar kPa Pa Meter Fuß
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