Formula
Pascals = Pounds-force per square inch × 6894.757293Direct answer
Multiply the entered pounds-force per square inch value by 6894.757293 to express it in pascals (Pa). This converts pound-force per square inch (psi) to pascal (Pa) within the documented pressure family.
Variables and formula
- Pounds-force per square inch (psi): the source value measured in pound-force per square inch.
- Pascals (Pa): the same quantity expressed in pascal.
- Conversion factor: 6894.757293 pascals per pound-force per square inch.
Pascals = Pounds-force per square inch × 6894.757293
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: 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.
Target 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.
The psi-to-Pa 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.
- 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.
- Pa relationship: The base factor is exactly 1 by the family base-unit choice.
To audit the factor through the family base unit, divide the raw dataset factors 6894.757293 by 1. The generator emits that quotient once at 15 significant digits as the canonical direct factor 6894.757293; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 pounds-force per square inch, 10 × 6894.757293 = 68947.57293 pascals. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one pound-force per square inch contains 6894.757293 pascals, the target number is larger 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 psi | 1 × 6894.757293 |
6894.757293 Pa |
| 10 psi | 10 × 6894.757293 |
68947.57293 Pa |
| 100 psi | 100 × 6894.757293 |
689475.7293 Pa |
| 1000 psi | 1000 × 6894.757293 |
6894757.293 Pa |
Interpretation
Read the result as pascals, not pounds-force per square inch. A value entered as psi leaves the calculator labelled Pa; 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
- Psi uses pound-force (lbf), not pound mass (lbm).
- A pascal is a small pressure, so engineering values are often expressed in kPa or MPa.
Continue within the Pressure family
See the Pressure conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Pascals to Pounds-force per square inch
- Compare another pressure route: Pounds-force per square inch to Kilopascals
- Compare another pressure route: Pounds-force per square inch to Bar
- Compare another pressure route: Pounds-force per square inch to Standard atmospheres
- Compare another pressure route: Pascals to Kilopascals
Assumptions
- The entered value uses pounds-force per square inch 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