Convert Newtons per Cubic Metre to gf/cm³

Formula

gf/cm³ = N/m³ × 0.0001019716212978

or gf/cm³ = N/m³ ÷ 9806.65

Derivation from SI units:

• Specific (unit) weight γ = ρ g, in N/m³.
• 1 gf/cm³ = 9806.65 N/m³ = 1 tf/m³.

Both units are defined exactly, so the factor is exact. Newton per Cubic Metre definition: newton per cubic metre; Gram-force per Cubic Centimetre definition: gram-force per cubic centimetre.

Worked examples

1. A reading of 15000 N/m³ converts to 1.529574319 gf/cm³.
   15000 N/m³ × 0.0001019716213 = 1.529574319 gf/cm³
2. A value of 24000 N/m³ is 2.447318911 gf/cm³.
   24000 N/m³ × 0.0001019716213 = 2.447318911 gf/cm³

Where it's used

Newtons per Cubic Metre are used for hydrostatic pressure p = γh, while grams-force per cubic centimetre appear in CGS-unit problems and older literature. Both measure specific weight (unit weight) γ = ρg, so the conversion is a fixed factor.

Newton per Cubic Metre to other unit weight units

Frequently asked questions

Sources

• 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).
• 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, "kilogram-force".

Last reviewed: 2026-10-15. Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.