Formula
Pounds-force per square inch = Pascals × 0.000145037737733751Direct answer
Multiply the entered pascals value by 0.000145037737733751 to express it in pounds-force per square inch (psi). This converts pascal (Pa) to pound-force per square inch (psi) within the documented pressure family.
Variables and formula
- Pascals (Pa): the source value measured in pascal.
- Pounds-force per square inch (psi): the same quantity expressed in pound-force per square inch.
- Conversion factor: 0.000145037737733751 pounds-force per square inch per pascal.
Pounds-force per square inch = Pascals × 0.000145037737733751
The generator emits numeric factors with at most 15 significant digits. Calculator results keep up to 10 significant digits for display; this formatting does not increase the precision of the measurement.
Unit definitions and named variants
Source unit: pascal (Pa). The pascal is the coherent SI unit of pressure and stress: 1 Pa = 1 N/m² = 1 kg·m⁻¹·s⁻². The canonical pascal definition is used; no alternate named variant is implied. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01; National Institute of Standards and Technology: NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement.
Target unit: pound-force per square inch (psi). Psi in this family is pound-force per square international inch (lbf/in²). With standard gravity it is approximately 6894.75729316836 Pa. Named variant used: Pound-force per square inch using standard gravity; not pound-mass per square inch. Gauge versus absolute reference must be specified separately. Reference: National Institute of Standards and Technology: NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically; National Institute of Standards and Technology: NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement.
The Pa-to-psi direction remains inside the pressure quantity; it changes the unit label and numerical scale, not the kind of quantity being measured.
Relationship and precision
This route uses at least one deliberately preserved rounded factor. Treat the displayed factor as an approximation at the precision documented below.
- Pa relationship: The base factor is exactly 1 by the family base-unit choice.
- psi relationship: The preserved baseFactor 6894.757293 Pa is rounded from about 6894.75729316836 Pa, a difference of about 1.68×10⁻⁷ Pa per psi.
To audit the factor through the family base unit, divide the raw dataset factors 1 by 6894.757293. The generator emits that quotient once at 15 significant digits as the canonical direct factor 0.000145037737733751; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 pascals, 10 × 0.000145037737733751 = 0.00145037737733751 pounds-force per square inch. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one pascal contains 0.000145037737733751 pounds-force per square inch, the target number is smaller than the source number for every positive input. Zero maps to zero, while negative inputs are rejected because this family models non-negative magnitudes.
| Source amount | Calculation | Target amount |
|---|---|---|
| 1 Pa | 1 × 0.000145037737733751 |
0.000145037737733751 psi |
| 10 Pa | 10 × 0.000145037737733751 |
0.00145037737733751 psi |
| 100 Pa | 100 × 0.000145037737733751 |
0.0145037737733751 psi |
| 1000 Pa | 1000 × 0.000145037737733751 |
0.145037737733751 psi |
Interpretation
Read the result as pounds-force per square inch, not pascals. A value entered as Pa leaves the calculator labelled psi; this directional distinction matters even when the two units describe the same pressure quantity.
Assumptions and limitations
- Only non-negative pressure magnitudes are accepted; negative gauge readings require a signed, reference-aware model.
- Input and output must refer to the same pressure reference and measurement conditions; a unit conversion alone cannot change the reference datum.
- Psi means pound-force per square inch (lbf/in²) using standard gravity, not pound-mass per square inch.
Common mistakes
- Pa is pressure; P is not the unit symbol.
- psig and psia share the same unit size but use different zero references; conversion between them requires ambient/reference pressure.
Continue within the Pressure family
See the Pressure conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Pounds-force per square inch to Pascals
- Compare another pressure route: Pascals to Kilopascals
- Compare another pressure route: Pascals to Bar
- Compare another pressure route: Pascals to Standard atmospheres
- Compare another pressure route: Pounds-force per square inch to Kilopascals
Assumptions
- The entered value uses pascals exactly as labelled.
- Only non-negative pressure magnitudes are accepted; negative gauge readings require a signed, reference-aware model.
- Rounding and measurement uncertainty remain the user's responsibility.
Sources and methodology
CalcMotive publishes the formula and assumptions so you can decide whether the estimate fits your use case. See our methodology standards.
- The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; accessed Aug 7, 2026
- NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically; National Institute of Standards and Technology; accessed Aug 7, 2026
- NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement; National Institute of Standards and Technology; accessed Aug 7, 2026