Convert fps to mph
Convert fps to mph instantly. 1 ft/s = 0.681818 mph. Formula, worked examples and a quick reference table.
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One foot per second equals 0.681818 miles per hour. To convert any number of feet per second to miles per hour, multiply by 0.68181818.
The converter above works in both directions and updates as you type. Below you will find the formula, a worked example and a reference table of common values.
Speed conversions divide by audience. Road speeds move between kilometres and miles per hour and are what a driver or a runner needs. Metres per second is what every equation of motion expects, so it is the form any physics problem has to reach. Knots belong to the sea and the air, where one knot is one nautical mile per hour and a nautical mile is one minute of latitude — a system built around navigation rather than around convenience.
fps to mph formula
To go the other way, use foot per second = mile per hour ÷ 0.68181818.
About these units
Feet per second is the speed unit of US ballistics and of some engineering fields, where the numbers land in a more readable range than miles per hour.
Miles per hour remains the road-speed unit in the United States and the United Kingdom, which is why British road signs are in miles while everything else on them is metric.
Foot per second is also written feet per second and fps. Mile per hour is also written miles per hour and mi/h.
Sources
fps to mph conversion table
| Foot per second | Mile per hour |
|---|---|
| 1 ft/s | 0.6818 mph |
| 2 ft/s | 1.3636 mph |
| 3 ft/s | 2.0455 mph |
| 5 ft/s | 3.4091 mph |
| 10 ft/s | 6.8182 mph |
| 20 ft/s | 13.6364 mph |
| 25 ft/s | 17.0455 mph |
| 50 ft/s | 34.0909 mph |
| 100 ft/s | 68.1818 mph |
| 250 ft/s | 170.4545 mph |
| 500 ft/s | 340.9091 mph |
| 1,000 ft/s | 681.8182 mph |
Frequently asked questions
How many miles per hour are in a foot per second? +
There are 0.681818 miles per hour in one foot per second.
What is 10 ft/s in mph? +
10 ft/s equals 6.8182 mph. Multiply 10 by 0.68181818.
How do I convert mile per hour back to foot per second? +
Use foot per second = mile per hour ÷ 0.68181818. The converter above handles both directions, or see our dedicated mph to fps page.
How accurate is this foot per second to mile per hour conversion? +
The factor used is 0.6818181818, carried at full double precision. Where a unit has an exact legal definition the factor is exact rather than approximate. Rounding is applied only to the displayed result, so the answer is never a calculation done on an already-rounded number.
Is there a quick way to estimate ft/s to mph in my head? +
The factor is exactly 0.682, which is short enough to apply directly without an approximation.