Feet Per Second to MPH Calculator
Convert feet per second to miles per hour.
Enter your values and click Calculate
How It Works
MPH = FPS ÷ 1.46̄6̄ (the bar notation indicates that 6 repeats). The conversion factor is derived from the definitions of the two units: one mile equals 5,280 feet and one hour equals 3,600 seconds. Dividing 5,280 by 3,600 gives exactly 22/15 ≈ 1.46̄6̄, which is the number of feet per second contained in one mile per hour. To go from fps to mph, you divide by this factor, because a higher number of feet per second corresponds to fewer miles per hour. The calculator uses the decimal approximation 1.46667, which introduces a negligible error of less than 0.0002% compared to the exact fraction 22/15. The classic benchmark is 88 fps = exactly 60 mph, useful for confirming the conversion is correct.