Enter psi or psf into the calculator to convert to Pascals (Pa, kPa, MPa), or enter Pascals to convert to pounds-based pressure.
Lbs to Pascals Formula
1 psi = 6894.757293 Pa 1 psf = 47.880259 Pa P (Pa) = F (N) / A (m²)
- psi — pounds-force per square inch (lbf/in²)
- psf — pounds-force per square foot (lbf/ft²)
- F — force in newtons (1 lbf = 4.4482216 N)
- A — area in square meters
- Pa — pascal, equal to 1 N/m²
"Lbs" in pressure context refers to pounds-force, not pounds-mass. The conversion is exact under standard gravity (9.80665 m/s²). Use psi when the area is given in square inches and psf when in square feet. For raw force divided by area, convert both to SI units before dividing.
Reference Tables
Common psi values converted to pascals and related SI units:
| psi | Pa | kPa | bar |
|---|---|---|---|
| 1 | 6,894.76 | 6.895 | 0.0689 |
| 14.7 (atm) | 101,353 | 101.35 | 1.013 |
| 30 | 206,843 | 206.84 | 2.068 |
| 100 | 689,476 | 689.48 | 6.895 |
| 500 | 3,447,379 | 3,447.38 | 34.47 |
| 1000 | 6,894,757 | 6,894.76 | 68.95 |
Quick interpretation of pressure magnitudes:
| Range | Typical context |
|---|---|
| < 1 kPa | Duct static pressure, small fans |
| ~101 kPa | Sea-level atmospheric pressure |
| 200–500 kPa | Tire and water-system pressures |
| 1–10 MPa | Hydraulic systems, boilers |
| > 10 MPa | High-pressure industrial equipment |
Worked Examples
Example 1 — psi to Pa: Convert 25 psi to pascals.
25 × 6894.757293 = 172,368.93 Pa (≈ 172.37 kPa).
Example 2 — Force and area: A 500 lbf load rests on a 4 in² pad.
F = 500 × 4.4482216 = 2224.11 N. A = 4 × 0.00064516 = 0.00258064 m². P = 2224.11 / 0.00258064 = 861,845 Pa (≈ 0.862 MPa or 125 psi).
Example 3 — psf to Pa: A roof load of 40 psf equals 40 × 47.880259 = 1,915.21 Pa.
FAQ
Is "lbs" the same as lbf? For pressure conversions, yes. Pressure units like psi and psf use pounds-force, even though the abbreviation is often written as "lbs."
Why is 1 psi not exactly equal to a round number of pascals? The pound and inch are defined in metric terms (1 in = 0.0254 m, 1 lbf = 4.4482216152605 N), so the conversion factor 6894.757293 Pa/psi comes out irrational.
How do I convert pascals back to psi? Divide by 6894.757293. For example, 101,325 Pa ÷ 6894.757293 ≈ 14.696 psi.