Formula
Feet per second = Meters per second × 3.28083989501312Direct answer
Multiply the entered meters per second value by 3.28083989501312 to express it in feet per second (ft/s). This converts meter per second (m/s) to foot per second (ft/s) within the documented speed family.
Variables and formula
- Meters per second (m/s): the source value measured in meter per second.
- Feet per second (ft/s): the same quantity expressed in foot per second.
- Conversion factor: 3.28083989501312 feet per second per meter per second.
Feet per second = Meters per second × 3.28083989501312
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: 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.
Target unit: foot per second (ft/s). One foot per second uses the international foot: 1 ft/s = 0.3048 m/s exactly. Named variant used: International foot per second; not U.S. survey foot per second. Reference: National Institute of Standards and Technology: NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement.
The m/s-to-ft/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
The named unit relationships are defined or exact, so the conversion is exact before display rounding and source-measurement uncertainty.
- m/s relationship: The base factor is exactly 1 by the family base-unit choice.
- ft/s relationship: The terminating base factor is exact.
To audit the factor through the family base unit, divide the raw dataset factors 1 by 0.3048. The generator emits that quotient once at 15 significant digits as the canonical direct factor 3.28083989501312; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 meters per second, 10 × 3.28083989501312 = 32.8083989501312 feet per second. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one meter per second contains 3.28083989501312 feet per second, the target number is larger 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 m/s | 1 × 3.28083989501312 |
3.28083989501312 ft/s |
| 10 m/s | 10 × 3.28083989501312 |
32.8083989501312 ft/s |
| 100 m/s | 100 × 3.28083989501312 |
328.083989501312 ft/s |
| 1000 m/s | 1000 × 3.28083989501312 |
3280.83989501312 ft/s |
Interpretation
Read the result as feet per second, not meters per second. A value entered as m/s leaves the calculator labelled ft/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.
- 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.
Common mistakes
- The textual alias mps is informal; m/s is the unit symbol.
- fps may also mean frames per second; here it is only a search alias for feet per second.
Continue within the Speed family
See the Speed conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Feet per second to Meters per second
- Compare another speed route: Meters per second to Kilometers per hour
- Compare another speed route: Meters per second to Miles per hour
- Compare another speed route: Meters per second to Knots
- Compare another speed route: Feet per second to Kilometers per hour
Assumptions
- The entered value uses meters per second 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 Handbook 44 (2026), Appendix C: General Tables of Units of Measurement; National Institute of Standards and Technology; accessed Aug 7, 2026