Speed conversion family

Speed unit conversions

Speed is the magnitude of the rate of change of distance with time and has dimension L T⁻¹; its coherent SI unit is meter per second (m/s).

Five named units

Unit and factor reference

Base: m/s
Factors are stored as decimal strings relative to meter per second (m/s).
UnitSymbolFactor to baseRelationshipDefinition and variant
meter per secondm/s1defined

Meter per second is the coherent SI unit of speed, representing one meter of distance per second of elapsed time.

Named variant: Speed magnitude; direction is not represented.

The base factor is exactly 1 by the family base-unit choice.

kilometer per hourkm/h0.2777777778approximate

One kilometer per hour is exactly 1000 m / 3600 s = 5/18 m/s.

The exact factor is the repeating value 5/18. The preserved baseFactor 0.2777777778 is rounded and differs from the exact value by about 2.22×10⁻¹¹ m/s per km/h.

mile per hourmph0.44704defined

One mile per hour uses the international mile and fixed hour: 1609.344 m / 3600 s = 0.44704 m/s exactly.

Named variant: International mile per hour; not nautical mile per hour.

The terminating base factor is exact.

knotkn0.5144444444approximate

A knot is exactly one international nautical mile per hour: 1852/3600 m/s = 463/900 m/s.

Named variant: International nautical mile per hour. The displayed symbol kn is conventional in this product; BIPM states no internationally agreed symbol exists.

The exact factor is the repeating value 463/900. The preserved baseFactor 0.5144444444 is rounded and differs from the exact value by about 4.44×10⁻¹¹ m/s per knot.

foot per secondft/s0.3048defined

One foot per second uses the international foot: 1 ft/s = 0.3048 m/s exactly.

Named variant: International foot per second; not U.S. survey foot per second.

The terminating base factor is exact.

Every ordered pair

All 20 speed calculators

Evidence and review status

This family is machine-reviewed-pending-human. Automated checks verify structure, factor parity and source references; they do not constitute human or specialist approval.

Family assumptions and limits

  • This family converts non-negative speed magnitudes, not signed velocity vectors, acceleration, pace, or average-speed models.
  • Mile per hour and foot per second use the international foot and international mile.
  • Knot means exactly one international nautical mile per hour; the symbol kn is a CalcMotive display convention because the current SI Brochure notes that no internationally agreed unit symbol exists for the knot.

Authoritative references