Formula
Meters per second = Kilometers per hour × 0.2777777778Direct answer
Multiply the entered kilometers per hour value by 0.2777777778 to express it in meters per second (m/s). This converts kilometer per hour (km/h) to meter per second (m/s) within the documented speed family.
Variables and formula
- Kilometers per hour (km/h): the source value measured in kilometer per hour.
- Meters per second (m/s): the same quantity expressed in meter per second.
- Conversion factor: 0.2777777778 meters per second per kilometer per hour.
Meters per second = Kilometers per hour × 0.2777777778
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: kilometer per hour (km/h). One kilometer per hour is exactly 1000 m / 3600 s = 5/18 m/s. The canonical kilometer per hour 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 Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically.
Target unit: meter per second (m/s). Meter per second is the coherent SI unit of speed, representing one meter of distance per second of elapsed time. Named variant used: Speed magnitude; direction is not represented. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01.
The km/h-to-m/s direction remains inside the speed 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.
- km/h relationship: 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.
- m/s 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 0.2777777778 by 1. The generator emits that quotient once at 15 significant digits as the canonical direct factor 0.2777777778; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 kilometers per hour, 10 × 0.2777777778 = 2.777777778 meters per second. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one kilometer per hour contains 0.2777777778 meters per second, the target number is smaller 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 km/h | 1 × 0.2777777778 |
0.2777777778 m/s |
| 10 km/h | 10 × 0.2777777778 |
2.777777778 m/s |
| 100 km/h | 100 × 0.2777777778 |
27.77777778 m/s |
| 1000 km/h | 1000 × 0.2777777778 |
277.7777778 m/s |
Interpretation
Read the result as meters per second, not kilometers per hour. A value entered as km/h leaves the calculator labelled m/s; this directional distinction matters even when the two units describe the same speed quantity.
Assumptions and limitations
- Only non-negative speed magnitudes are accepted; use a velocity model when direction or sign matters.
- 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.
Common mistakes
- 1 km/h is approximately 0.27778 m/s, not 3.6 m/s; 3.6 is used in the reverse direction.
- m/s is speed; m/s² is acceleration.
Continue within the Speed family
See the Speed conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Meters per second to Kilometers per hour
- Compare another speed route: Kilometers per hour to Miles per hour
- Compare another speed route: Kilometers per hour to Knots
- Compare another speed route: Kilometers per hour to Feet per second
- Compare another speed route: Meters per second to Miles per hour
Assumptions
- The entered value uses kilometers per hour exactly as labelled.
- Only non-negative speed magnitudes are accepted; use a velocity model when direction or sign matters.
- 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