Hydrostatic Pressure
Hydrostatic Pressure
\[P = \rho g h\]
Variables
P = hydrostatic pressure (Pa)
rho = fluid density (kg/m³)
g = gravitational acceleration (m/s²)
h = fluid depth (m)
Description
What is this formula?
The hydrostatic pressure equation calculates the pressure generated by a fluid at a specific depth due to gravity. Pressure increases linearly with depth.
When to use it
Use this formula when analyzing water tanks, dams, pipelines, underwater systems, hydraulic systems, or fluid storage containers.
Example
Water with density 1000 kg/m³ is at a depth of 5 m.
Data:
rho = 1000 kg/m³
g = 9.81 m/s²
h = 5 m
Formula:
P = rho*g*h
Substitution:
P = 1000*9.81*5
Result:
P = 49050 Pa
Applications
Hydraulic engineering, civil engineering, underwater systems, fluid storage, process engineering, and fluid mechanics.
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