Pressure from Depth and Density Calculator
What is Pressure from Depth and Density?
Pressure at a given depth in a fluid is determined by the weight of the fluid column above that point. It is calculated using the formula:- Pressure (P) = Density (ρ) × Gravitational acceleration (g) × Depth (h)
How to Calculate Pressure from Depth and Density
To calculate the pressure at a given depth in a fluid, use the following formula:- Pressure (P) = ρ × g × h
- Where:
- ρ = Density of the fluid (kg/m³)
- g = Gravitational acceleration (9.81 m/s² on Earth)
- h = Depth of the fluid (m)
Example Calculation
If you want to calculate the pressure at a depth of 10 meters in seawater (with a density of 1025 kg/m³), the calculation would be:- Pressure (P) = 1025 × 9.81 × 10 = 100,462.5 Pa (Pascal)
Fluid | Density (kg/m³) | Pressure at 10m Depth (Pa) |
---|---|---|
Water | 1000 | 98,100 |
Seawater | 1025 | 100,462.5 |
Mercury | 13,600 | 1,333,680 |
Oil | 850 | 83,265 |