Case 1
- Fluid density ρ
- 1000kg/m³
- Depth h
- 10m
98,066.50Pa
Open with these valuesHydrostatic Pressure Calculator
98,066.50Pa
Result: 98,066.50 PaP = ρ × g × h with g fixed at 9.80665 m/s². Ten metres of fresh water press with 98 066.5 Pa, about 98 kPa. That is gauge pressure — the column alone; for absolute pressure add the atmosphere above it, roughly 101 325 Pa at sea level.
The numbers at a glance
Held fixed: Fluid density ρ 1,000.0000 kg/m³.
| Depth h (m) | Result (Pa) |
|---|---|
| 0.0000 | 0.00 |
| 2.5000 | 24,516.63 |
| 5.0000 | 49,033.25 |
| 7.5000 | 73,549.88 |
| 10.0000Your value | 98,066.50 |
| 12.5000 | 122,583.13 |
| 15.0000 | 147,099.75 |
| 17.5000 | 171,616.38 |
| 20.0000 | 196,133.00 |
Worked examples
Case 2
- Fluid density ρ
- 1025kg/m³
- Depth h
- 100m
1,005,181.63Pa
Open with these valuesCase 3
- Fluid density ρ
- 13534kg/m³
- Depth h
- 0.76m
100,869.63Pa
Open with these valuesHow it's calculated
P = ρ × g × h
- StepEnter the density — fresh water about 1000, seawater about 1025.
- StepEnter how far below the surface you are measuring, in metres.
- StepRead the gauge pressure in pascals; ÷ 1000 gives kilopascals.
- ResultFor absolute pressure, add about 101 325 Pa of atmosphere.
Reference table
| ρ, h | Fluid | P (Pa) |
|---|---|---|
| 1000, 1 | Fresh water | 9806.65 |
| 997, 2 | Water at 25 °C | 19554.4601 |
| 1000, 10 | Fresh water | 98066.5 |
| 13534, 0.76 | Mercury barometer | 100869.632836 |
| 1025, 100 | Seawater | 1005181.625 |
Questions
How do I calculate hydrostatic pressure?
Multiply the fluid density by gravity and by the depth: P = ρ × g × h. With kg/m³, 9.80665 m/s² and metres, the pressure comes out in pascals — 10 m of fresh water gives 98 066.5 Pa, about 98.07 kPa.
What is hydrostatic pressure?
It is the pressure a fluid at rest exerts at a given depth because of the weight of the fluid above it. It acts equally in all directions and depends only on density, gravity and depth.
Why does depth matter and not the volume of fluid?
Because the pressure comes from the height of the column above a point, not from how wide the container is. A narrow tube and a wide lake filled to the same depth press equally hard at the bottom.
Is this gauge pressure or absolute pressure?
Gauge — the extra pressure due to the fluid alone, above the surrounding air. For the absolute pressure, add the atmospheric pressure at the surface, about 101 325 Pa at sea level.
Which value of gravity does the calculator use?
The standard acceleration of gravity, 9.80665 m/s², fixed by convention and tabulated by NIST. Local gravity varies by a few tenths of a per cent between the equator and the poles, which moves the result by less than half a per cent.
Sources and last check
Information, not professional advice.