Enter the density (kg/m^3), the volume (m^3), and the area (m^2) into the calculator to determine the Pressure From Density.
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Pressure From Density Formula
The following formula is used to calculate the Pressure From Density.
Pd = D*V/ A * g
- Where Pd is the Pressure From Density (Pa)
- D is the density (kg/m^3)
- V is the volume (m^3)
- A is the area (m^2)
To calculate the pressure from density, multiply the density by the volume, divide by the area, then multiply by the acceleration due to gravity.
| Head h = V/A (m) | Pressure (Pa) | Pressure (kPa) | Pressure (psi) | Pressure (bar) |
|---|---|---|---|---|
| 0.05 | 490.5 | 0.491 | 0.071 | 0.005 |
| 0.10 | 981.0 | 0.981 | 0.142 | 0.010 |
| 0.20 | 1962.0 | 1.962 | 0.284 | 0.020 |
| 0.25 | 2452.5 | 2.453 | 0.356 | 0.025 |
| 0.30 | 2943.0 | 2.943 | 0.427 | 0.029 |
| 0.50 | 4905.0 | 4.905 | 0.711 | 0.049 |
| 0.75 | 7357.5 | 7.358 | 1.067 | 0.074 |
| 1.00 | 9810.0 | 9.810 | 1.422 | 0.098 |
| 1.25 | 12262.5 | 12.263 | 1.778 | 0.123 |
| 1.50 | 14715.0 | 14.715 | 2.134 | 0.147 |
| 1.75 | 17167.5 | 17.168 | 2.489 | 0.172 |
| 2.00 | 19620.0 | 19.620 | 2.845 | 0.196 |
| 2.50 | 24525.0 | 24.525 | 3.556 | 0.245 |
| 3.00 | 29430.0 | 29.430 | 4.267 | 0.294 |
| 4.00 | 39240.0 | 39.240 | 5.689 | 0.392 |
| 5.00 | 49050.0 | 49.050 | 7.112 | 0.491 |
| 7.50 | 73575.0 | 73.575 | 10.668 | 0.736 |
| 10.00 | 98100.0 | 98.100 | 14.223 | 0.981 |
| 12.00 | 117720.0 | 117.720 | 17.068 | 1.177 |
| 15.00 | 147150.0 | 147.150 | 21.335 | 1.472 |
| Assumes water (ρ = 1000 kg/m³) and standard gravity (g = 9.81 m/s²). For Tab 1, P = ρ·V·g/A = ρ·g·h with h = V/A. Unit refs: 1 psi = 6894.76 Pa; 1 bar = 100000 Pa. | ||||
How to Calculate Pressure From Density?
The following example problems outline how to calculate the Pressure From Density.
Example Problem #1
- First, determine the density (kg/m^3). In this example, the density (kg/m^3) is given as 10 .
- Next, determine the volume (m^3). For this problem, the volume (m^3) is given as 50 .
- Next, determine the area (m^2). In this case, the area (m^2) is found to be 10.
- Finally, calculate the Pressure From Density using the formula above:
Pd = D*V/ A * g
Inserting the values from above and solving yields:
Pd = 10*50/ 10 * 9.81 = 490.5 (Pa)
Example Problem #2
Using the same method as above, determine the variables required by the equation. For this example problem, these are provided as:
density (kg/m^3) = 41
volume (m^3) = 16
area (m^2) = 28
Enter these given values yields:
Pd = 41*16/ 28 * 9.81 = 229.83 (Pa)
