Hydrostatic Pressure Calculator
Calculate hydrostatic pressure with ease using this precise, professional-grade calculator for fluid mechanics.
How to use
Enter the fluid density, gravitational acceleration, and depth of the fluid column. Use the Calculate button or let the inputs auto-update to see the pressure at the chosen depth.
Methodology
The calculator multiplies density, gravity, and depth to produce hydrostatic pressure, following the standard fluid mechanics formula that describes the pressure generated by a static fluid under gravity.
Full original guide (expanded)
Data Source and Methodology
The derivation follows classical fluid mechanics, particularly the treatment in Frank M. White’s "Fluid Mechanics" text. All values are grounded in these authoritative principles to give reliable results for engineering and academic use.
The Formula Explained
Hydrostatic pressure arises from the weight of the fluid above a point: multiply fluid density (ρ) by gravitational acceleration (g) and fluid depth (h) to obtain pressure at that depth.
Glossary of Terms
- Fluid Density: Mass per unit volume (kg/m³).
- Gravitational Acceleration: The acceleration due to gravity (m/s²), typically 9.81 on Earth.
- Fluid Depth: Vertical depth of the fluid column above the point of interest.
- Hydrostatic Pressure: Pressure exerted by the fluid as a result of its weight.
Example Calculation
A 10 m column of water (ρ ≈ 1000 kg/m³) under Earth gravity (g = 9.81 m/s²) develops pressure: P = 1000 × 9.81 × 10 = 98,100 Pa at the bottom.
Frequently Asked Questions
What affects hydrostatic pressure? Increasing density, gravity, or depth increases pressure.
Is pressure the same at all depths? No, pressure increases linearly with depth.
Why include gravitational acceleration? Gravity determines the weight of the fluid, which generates the pressure.