Calculate hydraulic motor torque from pressure differential and displacement, or solve for pressure or displacement with optional efficiency and common SI and US units.
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Torque From Pressure Formula
The following formula is used to calculate the Torque From Pressure.
- Where T is the Torque From Pressure (lb-ft)
- P is the pressure (psi)
- A is the area (in^2)
- r is the radius (ft)
To calculate torque from pressure, multiply the pressure by the area, then multiply by the radius.
| Pressure (psi) | Area (ft²) | Radius (ft) | Torque (lb·ft) |
|---|---|---|---|
| 25 | 0.0218 | 1.00 | 78.540 |
| 50 | 0.0218 | 1.00 | 157.080 |
| 100 | 0.0218 | 1.00 | 314.159 |
| 150 | 0.0218 | 1.00 | 471.239 |
| 25 | 0.0491 | 1.00 | 176.715 |
| 50 | 0.0491 | 1.00 | 353.429 |
| 100 | 0.0491 | 1.00 | 706.858 |
| 150 | 0.0491 | 1.00 | 1060.288 |
| 25 | 0.0873 | 1.00 | 314.159 |
| 50 | 0.0873 | 1.00 | 628.319 |
| 100 | 0.0873 | 1.00 | 1256.637 |
| 150 | 0.0873 | 1.00 | 1884.956 |
| 25 | 0.1963 | 1.00 | 706.858 |
| 50 | 0.1963 | 1.00 | 1413.717 |
| 100 | 0.1963 | 1.00 | 2827.433 |
| 150 | 0.1963 | 1.00 | 4241.150 |
| 25 | 0.3491 | 1.00 | 1256.637 |
| 50 | 0.3491 | 1.00 | 2513.274 |
| 100 | 0.3491 | 1.00 | 5026.548 |
| 150 | 0.3491 | 1.00 | 7539.822 |
| * Rounded to 3 decimals. Formula: T(lb·ft) = 144 × P(psi) × A(ft²) × r(ft). Areas shown correspond to common circular piston sizes (≈2″, 3″, 4″, 6″, 8″ diameters). Values above use r = 1.00 ft. | |||
How to Calculate Torque From Pressure?
The following example problems outline how to calculate the Torque From Pressure.
Example Problem #1
- First, determine the pressure (psi). In this example, the pressure (psi) is given as 100.
- Next, determine the area (in^2). For this problem, the area (in^2) is given as 40.
- Next, determine the radius (ft). In this case, the radius (ft) is found to be 10.
- Finally, calculate the Torque From Pressure using the formula above:
T = P*A*r
Inserting the values from above and solving yields:
T = 100*40*10 = 40,000 (lb-ft)
Example Problem #2
Using the same method as above, determine the variables required by the equation. For this example problem, these are provided as:
pressure (psi) = 30
area (in^2) = 15
radius (ft) = 20
Entering these given values yields:
T = P*A*r = 9000 (lb-ft)
