Convert Pounds-force per Cubic Inch to N/m³
1 pound-force per cubic inch (lbf/in³) = 271447.1375 newtons per cubic metre (N/m³). 1 N/m³ = 0.000003683958538 lbf/in³. Example: 15 lbf/in³ = 15 × 271447.1375 = 4071707.063 N/m³.
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1 lbf/in³ = 271447.1375 N/m³
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk pound-force per cubic inch to newton per cubic metre converter to paste a column from Excel.
How to Convert Pound-force per Cubic Inch to Newton per Cubic Metre
- 1 lbf/in³ = 271447.1375 N/m³
- 1 N/m³ = 0.000003683958538 lbf/in³
- Example: convert 15 lbf/in³ to N/m³: 15 lbf/in³ = 15 × 271447.1375 N/m³ = 4071707.063 N/m³
Formula
N/m³ = lbf/in³ × 271447.1375263
Derivation from SI units:
- 1 lbf/in³ = 4.4482216152605 N ÷ 1.6387064 × 10⁻⁵ m³ ≈ 271,447 N/m³.
- Specific (unit) weight γ = ρ g, in N/m³.
Both units are defined exactly, so the factor is exact. Pound-force per Cubic Inch definition: pound-force per cubic inch; Newton per Cubic Metre definition: newton per cubic metre.
Worked examples
- A reading of 0.15 lbf/in³ converts to 40717.07063 N/m³.
0.15 lbf/in³ × 271447.1375 = 40717.07063 N/m³ - A value of 0.284 lbf/in³ is 77090.98706 N/m³.
0.284 lbf/in³ × 271447.1375 = 77090.98706 N/m³
Pound-force per Cubic Inch to Newton per Cubic Metre conversion table
| Pounds-force per Cubic Inch (lbf/in³) | Newtons per Cubic Metre (N/m³) |
|---|---|
| 0.0361 lbf/in³ | 9799.241665 N/m³ |
| 0.05 lbf/in³ | 13572.35688 N/m³ |
| 0.1 lbf/in³ | 27144.71375 N/m³ |
| 0.15 lbf/in³ | 40717.07063 N/m³ |
| 0.2 lbf/in³ | 54289.42751 N/m³ |
| 0.26 lbf/in³ | 70576.25576 N/m³ |
| 0.284 lbf/in³ | 77090.98706 N/m³ |
| 0.3 lbf/in³ | 81434.14126 N/m³ |
| 0.32 lbf/in³ | 86863.08401 N/m³ |
| 0.41 lbf/in³ | 111293.3264 N/m³ |
Where it's used
Pounds-force per Cubic Inch are used for US machine design (material weight), while newtons per cubic metre appear in hydrostatic pressure p = γh. Both measure specific weight (unit weight) γ = ρg, so the conversion is a fixed factor.
Pound-force per Cubic Inch to other unit weight units
| Conversion | 1 lbf/in³ equals |
|---|---|
| pound-force per cubic inch to newton per cubic metre | 271447.1375 N/m³ |
| pound-force per cubic inch to kilonewton per cubic metre | 271.4471375 kN/m³ |
| pound-force per cubic inch to pcf | 1728 lbf/ft³ |
| pound-force per cubic inch to tonne-force per cubic metre | 27.67990471 tf/m³ |
| pound-force per cubic inch to kilogram-force per cubic metre | 27679.90471 kgf/m³ |
| pound-force per cubic inch to gram-force per cubic centimetre | 27.67990471 gf/cm³ |
Frequently asked questions
How many newtons per cubic metre are in 1 pound-force per cubic inch?
1 lbf/in³ = 271447.1375 N/m³.
How do I convert pounds-force per cubic inch to newtons per cubic metre?
Multiply the value in lbf/in³ by 271447.1375. For example, 15 lbf/in³ × 271447.1375 = 4071707.063 N/m³.
Is the lbf/in³ to N/m³ conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- Guide for the Use of the International System of Units (SI), NIST Special Publication 811, 2008 Edition, National Institute of Standards and Technology , Appendix B.8, "pound-force per cubic inch".
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4 (derived units) and Table 8 (non-SI units accepted for use with the SI).
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Pounds-force per Cubic Inch to N/m³. Retrieved October 29, 2026, from https://scientificconverters.com/specific-weight/pounds-force-per-cubic-inch-to-newtons-per-cubic-meter/
IEEE
Scientific Converters, "Convert Pounds-force per Cubic Inch to N/m³," scientificconverters.com. Accessed: Oct. 29, 2026. [Online]. Available: https://scientificconverters.com/specific-weight/pounds-force-per-cubic-inch-to-newtons-per-cubic-meter/