Convert Inches per Hour to Metres per Second (in/h to m/s)

Formula

m/s = in/h × 0.000007055555555556

or m/s = in/h ÷ 141732.2834646

Derivation from SI units:

• 1 in/h = 0.0254/3600 m/s.
• Hydraulic conductivity K = discharge per unit area per unit hydraulic gradient, in m/s.

Both units are defined exactly, so the factor is exact. Inch per Hour definition: inch per hour; Metre per Second definition: metre per second.

Worked examples

1. A reading of 0.5 in/h converts to 0.000003527777778 m/s.
   0.5 in/h × 0.000007055555556 = 0.000003527777778 m/s
2. A value of 3 in/h is 0.00002116666667 m/s.
   3 in/h × 0.000007055555556 = 0.00002116666667 m/s

Where it's used

Inches per Hour are used for USDA soil survey permeability classes, while metres per second appear in darcy’s law and seepage analysis. Both measure hydraulic conductivity (coefficient of permeability k), so the conversion is a fixed factor.

Inch per Hour to other hydraulic conductivity units

Frequently asked questions

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