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FPS to Knots Converter

A knot is one nautical mile an hour, a nautical mile is exactly 1,852 metres and a foot is exactly 0.3048 metres, so feet per second to knots is one multiplication by 0.3048 × 3,600 / 1,852. That fraction is exactly 6,858/11,575 and prints here as 0.592483801296 at twelve significant digits. So 1 ft/s is 0.592483801296 kn, 10 ft/s is 5.92483801296 kn, 20 ft/s is 11.8496760259 kn, 50 ft/s is 29.6241900648 kn and 100 ft/s is 59.2483801296 kn, while a knot the other way round is 1.6878098571 ft/s. Both units are defined rather than measured, so the only approximation on the page is the printing. This page opens the converter with Foot per second in the From box and Knot in the To box, ahead of whatever pair you last used, and lists the same speed in every other speed unit under the answer, so 100 ft/s reads 30.48 m/s, 109.728 km/h, 68.1818181818 mph and 59.2483801296 kn at once. Speed is one of only two categories here with nothing hidden behind an uncommon units switch, so the other four units are always listed under the answer.

To0.592483801296
Category
Speed
Base unit
metre per second

1 ft/s in every speed unit

  • Metre per secondm/s
    0.3048
  • Kilometre per hourkm/h
    1.09728
  • Mile per hourmph
    0.681818181818
  • Knotkn
    0.592483801296

Common questions

How many knots is 1 foot per second?
0.592483801296 knots, a shade under six tenths. Back the other way, 1 knot is 1.6878098571 ft/s, 5 knots are 8.43904928551 ft/s, 20 knots are 33.756197142 ft/s and 60 knots are 101.268591426 ft/s. The pair is close enough to a factor of 0.6 that a rough head figure is easy, and the page gives the rest of the digits when the rough one is not enough.
What is the formula for ft/s to knots?
knots = ft/s × 0.3048 × 3,600 / 1,852, which reduces to the exact fraction 6,858/11,575 and prints as 0.592483801296. Reversed, ft/s = knots × 1,852 / (3,600 × 0.3048), which prints as 1.6878098571. The decimal repeats rather than terminating, so answers round at twelve significant digits, which is where the trailing 296 in 59.2483801296 comes from for 100 ft/s.
Worked example: what is 100 ft/s in knots?
59.2483801296 knots. Type 100 into the From box and the answer appears as you type, with no button to press. The list underneath gives the same speed as 30.48 m/s, 109.728 km/h and 68.1818181818 mph, each with its own Copy button, while Copy result above copies the headline knots figure without the thousands separators it is shown with.
Why is the conversion factor exact?
Because neither unit is measured any more. The international nautical mile was fixed at exactly 1,852 metres, and the international foot was fixed at exactly 0.3048 metres in 1959, so the ratio between a foot per second and a knot is pure arithmetic: 6,858/11,575. What the page rounds is the decimal expansion of that fraction, not the definition behind it.
How do knots compare with miles per hour?
A knot is 1.15077944802 mph and a mile per hour is 0.868976241901 knots, because a nautical mile is longer than a statute mile. The same speed therefore reads as a smaller number in knots: 100 ft/s is 68.1818181818 mph but 59.2483801296 knots, and 88 ft/s, the classic 60 mph, is 52.138574514 knots. Both columns sit in the list under the answer, so no second conversion is needed.
What about larger speeds?
They scale straight, since there is no offset anywhere in this category: 200 ft/s is 118.496760259 knots, 500 ft/s is 296.241900648 knots and 1,000 ft/s is 592.483801296 knots. A figure near the speed of sound in room-temperature air, 1,125 ft/s, is 666.544276458 knots. Results reach exponential notation only at 1,000,000,000,000,000 and above, which no speed typed in feet per second gets near.
How do I convert knots back to feet per second?
Press the swap button between the two boxes and the page becomes a knots to ft/s converter without a reload: 1 knot is 1.6878098571 ft/s, 10 knots are 16.878098571 ft/s and 100 knots are 168.78098571 ft/s. Swap keeps the number you typed rather than the answer, so it converts that same figure in the new direction.
Why does a tiny speed read 5.924838e-7?
Because anything below 0.000001 is printed in exponential notation rather than as a row of leading zeros, so 0.000001 ft/s is 5.924838e-7 knots. Ordinary speeds never reach that line: 0.1 ft/s is 0.0592483801296 knots and 0.01 ft/s is 0.00592483801296 knots, both plain decimals.
Is anything I type sent anywhere?
No. Every factor ships with the page and the arithmetic happens in your browser, with no account and nothing uploaded, so the converter keeps working with no network connection once the page has loaded.

Conversion factors are the exact legal definitions where one exists. An inch is exactly 2.54 cm and a pound exactly 0.45359237 kg, so those conversions are exact rather than approximate. Temperature uses offsets rather than factors, and that is shown in the working.