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Earth System Sciences
Meteorology
Classical
Intermediate

Hydrostatic Equation

dPdz=ρg\frac{dP}{dz} = -\rho g

Pressure decreases with height in a fluid at rest—balance of pressure and gravity.

By Various

Earth System Sciences
Hydrostatic Equation
Classical · Various
Why it matters: Enables weather prediction, diving medicine, and barometric altitude.

Discoverers: Various (Classical)

What does it mean?

Pressure decreases with height in a fluid at rest—balance of pressure and gravity.

Why should I care?

Enables weather prediction, diving medicine, and barometric altitude.

Variables & Units

SymbolNameUnitMeaning
PPPressurePaAtmospheric pressure
ρρDensitykg/m³Air density
ggGravity9.81 m/s²
zzHeightmAltitude

Worked Example

Pressure drops ~12 kPa per km in lower atmosphere.

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Hydrostatic Equation

dPdz=ρg\frac{dP}{dz} = -\rho g

Real-world impact

Engineering & climate

Fluid models power transport and forecasting.

Photo: Unsplash — aircraft

Pressure decreases with height in a fluid at rest—balance of pressure and gravity.

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