Feet per Second to Mile per Hour Converter
Quickly and accurately convert speed measurements from feet per second to miles per hour with our free online ft/s to MPH Converter. Perfect for physics calculations, sports analysis, and more.
Common Conversions
| Feet per Second (ft/s) | Miles per Hour (mph) |
|---|---|
| 1 ft/s | 0.681818 mph |
| 5 ft/s | 3.40909 mph |
| 10 ft/s | 6.81818 mph |
| 15 ft/s | 10.22727 mph |
| 20 ft/s | 13.63636 mph |
| 30 ft/s | 20.45454 mph |
| 50 ft/s | 34.0909 mph |
| 88 ft/s | 60 mph |
| 100 ft/s | 68.1818 mph |
How It Works
Converting from feet per second (ft/s) to miles per hour (mph) is a common speed conversion within the imperial system, especially useful in physics, engineering, and sports analytics.
Conversion Formula:
1 foot per second = 0.681818 miles per hour
To convert feet per second to miles per hour, multiply the feet per second value by 0.681818:
Miles per Hour = Feet per Second × 0.681818
Why is the factor 0.681818?
This conversion factor comes from the relationship between feet and miles, and seconds and hours:
- 1 mile = 5,280 feet
- 1 hour = 3,600 seconds
So, to convert ft/s to mph:
(feet/second) × (1 mile/5,280 feet) × (3,600 seconds/1 hour) = (feet/second) × (3,600/5,280) mph
(feet/second) × 0.681818 = mph
Example Calculation:
To convert 10 feet per second to miles per hour:
Miles per Hour = 10 ft/s × 0.681818 = 6.81818 mph
Our converter handles this calculation automatically and provides results with up to 9 decimal places for precision. It also formats the result to remove unnecessary trailing zeros for better readability.
Frequently Asked Questions
What is a foot per second?
A foot per second (ft/s or fps) is an imperial unit of speed, representing the distance in feet traveled in one second. It’s commonly used in ballistics, fluid dynamics, and some sports measurements in the United States and other countries that use imperial units.
What is a mile per hour?
A mile per hour (mph) is an imperial and US customary unit of speed, representing the number of miles traveled in one hour. It’s the standard unit for measuring vehicle speeds in the United States, United Kingdom, and several other countries. It’s also commonly used for wind speeds in weather forecasts in these regions.
Why would I need to convert feet per second to miles per hour?
This conversion is useful in several contexts:
- In physics and engineering, when translating between different speed measurements
- In sports analytics, where some measurements (like ball speed) might be in ft/s but need comparison to more familiar mph references
- In fluid dynamics and hydraulics, where flow rates might be measured in ft/s but need conversion to mph for certain calculations
- In ballistics, where projectile speeds are often measured in ft/s but may need to be compared to vehicle speeds in mph
How accurate is this converter?
Our converter uses the exact conversion factor of 0.681818 mph per ft/s, which is derived from the standard definitions of feet, miles, seconds, and hours. The calculator can display results with up to 9 decimal places for high precision needs, though most practical applications don’t require this level of precision.
What are some common speed benchmarks in both ft/s and mph?
- Average walking speed: 4.4 ft/s (3 mph)
- Average running speed: 8.8 ft/s (6 mph)
- Average baseball pitch: 130 ft/s (88.6 mph)
- Terminal velocity of a skydiver: 176 ft/s (120 mph)
- Speed of sound at sea level: 1,125 ft/s (767 mph)
- Typical highway speed limit: 88 ft/s (60 mph)
How do I convert miles per hour back to feet per second?
To convert from miles per hour to feet per second, multiply the mph value by 1.46667. Alternatively, you can use our Mile per Hour to Feet per Second Converter for quick and accurate conversions.