Formula
Knots = Feet per second × 0.592483801347083Direct answer
Multiply the entered feet per second value by 0.592483801347083 to express it in knots (kn). This converts foot per second (ft/s) to knot (kn) within the documented speed family.
Variables and formula
- Feet per second (ft/s): the source value measured in foot per second.
- Knots (kn): the same quantity expressed in knot.
- Conversion factor: 0.592483801347083 knots per foot per second.
Knots = Feet per second × 0.592483801347083
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: 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.
Target unit: knot (kn). A knot is exactly one international nautical mile per hour: 1852/3600 m/s = 463/900 m/s. Named variant used: International nautical mile per hour. The displayed symbol kn is conventional in this product; BIPM states no internationally agreed symbol exists. 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.
The ft/s-to-kn 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.
- ft/s relationship: The terminating base factor is exact.
- kn relationship: 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.
To audit the factor through the family base unit, divide the raw dataset factors 0.3048 by 0.5144444444. The generator emits that quotient once at 15 significant digits as the canonical direct factor 0.592483801347083; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 feet per second, 10 × 0.592483801347083 = 5.92483801347083 knots. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one foot per second contains 0.592483801347083 knots, 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 ft/s | 1 × 0.592483801347083 |
0.592483801347083 kn |
| 10 ft/s | 10 × 0.592483801347083 |
5.92483801347083 kn |
| 100 ft/s | 100 × 0.592483801347083 |
59.2483801347083 kn |
| 1000 ft/s | 1000 × 0.592483801347083 |
592.483801347083 kn |
Interpretation
Read the result as knots, not feet per second. A value entered as ft/s leaves the calculator labelled kn; 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
- ft/s is speed; ft/s² is acceleration.
- A knot is already a speed; ‘knots per hour’ would describe a rate of change, not speed.
Continue within the Speed family
See the Speed conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Knots to Feet per second
- Compare another speed route: Feet per second to Meters per second
- Compare another speed route: Feet per second to Kilometers per hour
- Compare another speed route: Feet per second to Miles per hour
- Compare another speed route: Knots to Meters per second
Assumptions
- The entered value uses feet 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 Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically; National Institute of Standards and Technology; 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