Feet per Second to Meters per Second Conversion
- Speed
- 10 ft/s
- You entered
Convert feet per second (ft/s or fps) to meters per second (m/s) by multiplying the speed by 0.3048. Enter a speed in feet per second to get its equivalent in meters per second; for example, 10 ft/s equals 3.048 m/s.
Formula
Speed in meters per second = speed in feet per second × 0.3048.
- Speed is the given speed in feet per second (ft/s).
- Meters is the converted speed in meters per second (m/s).
- 0.3048 is the exact number of meters in one international foot.
The conversion works because speed is a distance divided by time. Since the time unit remains seconds, only the distance unit changes: 1 ft/s = 0.3048 m/s.
Worked Example
Using the calculator’s default input of 10 ft/s:
- Start with 10 ft/s.
- Multiply by 0.3048 meters per foot: 10 × 0.3048 = 3.048.
- The result is 3.048 m/s, displayed to three decimal places.
How the Conversion Works
A foot is a customary unit of length, while a meter is an SI unit. The international foot is defined as exactly 0.3048 meters. Therefore, converting a rate from feet per second to meters per second requires no estimate or lookup table: multiply the numerical value by 0.3048.
For instance, a speed of 1 ft/s means an object travels one foot in one second. One foot is 0.3048 meters, so that same motion is 0.3048 meters in one second, or 0.3048 m/s. The seconds cancel neither change nor disappear; they remain the denominator in both units.
To convert in the opposite direction, divide the value in m/s by 0.3048, or multiply by approximately 3.28084. Avoid using 0.3048 for the reverse conversion: that would make the result smaller when it should be larger.
Common Values and Examples
These examples show the conversion before additional rounding:
- 1 ft/s = 0.3048 m/s
- 5 ft/s = 1.524 m/s
- 10 ft/s = 3.048 m/s
- 20 ft/s = 6.096 m/s
- 100 ft/s = 30.48 m/s
At 10 ft/s, an object covers 10 feet each second. In metric units, that is 3.048 meters each second. The conversion changes how the speed is expressed, not the object’s motion.
Feet per second is often used for short-distance or fast-moving events, including projectile speeds, airflow, and some engineering measurements. Meters per second is common in scientific work and in SI-based specifications. Converting the number makes values easier to compare when sources use different unit systems.
Choosing Precision and Avoiding Mistakes
The conversion factor is exact, but a displayed answer may be rounded. Choose a number of decimal places that suits the measurement and purpose. Three decimal places are useful for simple examples, while a rough estimate may need only one or two. Do not assume extra digits make an imprecise original measurement more accurate.
- Check the starting unit. This factor applies to feet per second, not feet per minute, miles per hour, or meters per second.
- Keep the direction straight. For ft/s to m/s, multiply by a number less than 1, so the numerical value gets smaller. For m/s to ft/s, divide by 0.3048.
- Preserve the time unit. The conversion changes feet to meters, not seconds to minutes or hours.
- Label the answer. Writing “3.048” alone does not tell a reader whether the value is ft/s or m/s.
A frequent source of confusion is mixing up a speed conversion with a distance conversion. The factor 0.3048 converts feet to meters; it also converts ft/s to m/s because the seconds are unchanged. If the original rate is instead in feet per minute, first decide whether the target should remain per minute or become per second. For ft/min to m/s, divide by 60 as well as multiplying by 0.3048.
Related Speed Units
For comparisons with other familiar units, 1 m/s equals 3.6 km/h and about 2.23694 miles per hour. Since 1 ft/s equals 0.3048 m/s, it also equals about 1.09728 km/h or 0.681818 mph. These are useful secondary conversions, but keep the direct ft/s-to-m/s calculation separate to reduce rounding errors.
For example, converting 10 ft/s directly gives 3.048 m/s. Converting that result to kilometers per hour gives 3.048 × 3.6 = 10.9728 km/h. If you round the intermediate value too early, the final answer may differ slightly in its last digit.
Frequently Asked Questions
How many meters per second is 1 foot per second?
One foot per second is exactly 0.3048 meters per second.
How do I convert ft/s to m/s?
Multiply the value in ft/s by 0.3048. For example, 25 ft/s × 0.3048 = 7.62 m/s.
How do I convert m/s to ft/s?
Divide the value in m/s by 0.3048, or multiply by approximately 3.28084.
Is the 0.3048 conversion factor exact?
Yes. The international foot is defined as exactly 0.3048 meters, so this unit conversion factor is exact.
Is ft/s the same as fps?
In a speed measurement, fps commonly abbreviates feet per second. In other contexts, the same letters can mean something else, so check the units given with a value.
Does converting ft/s to m/s change the actual speed?
No. It expresses the same speed in a different unit. Only the numerical value changes because a meter is longer than a foot.
Related
Formula used
in speed | Speed | ft/s | 10 | 0 out meters | Speed | m/s | speed * 0.3048 | 3
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.