Feet per Second to m/s Converter & Formula

This calculator converts a speed given in feet per second (ft/s) to meters per second (m/s) instantly. You enter the speed in ft/s, and the calculator returns the equivalent value in m/s using the exact conversion factor 1 ft = 0.3048 m. The result is shown to two decimal places, which is precise enough for most practical purposes.

Formula

The conversion is a simple multiplication:

v(m/s) = v(ft/s) × 0.3048

Where:

• v(m/s) = speed in meters per second
• v(ft/s) = speed in feet per second
• 0.3048 = exact number of meters in one foot (defined by international agreement in 1959)

Because both units measure the same physical quantity (speed), the conversion factor is exact, not an approximation. There is no temperature, pressure, or other condition that changes it.

Worked Example

Using the default value of 10 ft/s from the calculator:

1. Start with the speed: 10 ft/s
2. Multiply by 0.3048: 10 × 0.3048 = 3.048
3. Round to two decimal places: 3.05 m/s

The calculator shows 3.05 m/s, matching the manual calculation exactly.

Why Convert Between ft/s and m/s?

Feet per second is common in the United States for measuring wind speed, conveyor belt speed, muzzle velocity of firearms, and athletic sprinting speed (e.g., a 40-yard dash). Meters per second is the standard SI unit of speed, used worldwide in physics, engineering, and most international contexts. If you are reading a scientific paper, working on an international project, or comparing data from different countries, you will almost certainly need to convert between the two.

For example, a baseball thrown at 90 mph is about 132 ft/s. In m/s, that is 132 × 0.3048 = 40.23 m/s. A typical walking speed of 3 ft/s converts to 0.91 m/s. Knowing the conversion lets you move fluidly between everyday US measurements and the metric system.

How the Conversion Works

The conversion relies on the international definition of the foot. Since 1959, the foot has been defined as exactly 0.3048 meters. This means the conversion factor is a fixed number, not a rounded approximation. To convert any speed from ft/s to m/s, you simply multiply by 0.3048. The reverse conversion (m/s to ft/s) uses the reciprocal: divide by 0.3048, or multiply by 3.280839895.

This is a linear conversion, so doubling the input doubles the output. A graph of ft/s vs. m/s is a straight line through the origin. There is no offset term, unlike converting between Celsius and Fahrenheit.

Common Mistakes and How to Avoid Them

• Using the wrong factor: Some people use 0.3 as an approximation. While that gives a quick mental estimate, it introduces a 1.6% error. For precise work, always use 0.3048.
• Reversing the operation: To go from ft/s to m/s you multiply. To go the other way you divide. Mixing these up gives an answer that is off by a factor of about 3.28.
• Forgetting the units: The result is in meters per second, not miles per hour or kilometers per hour. Always label the result.
• Rounding too early: If you are doing a multi-step calculation, round only the final answer. Rounding intermediate values can compound errors.

When You Might Need This Conversion

• Physics homework: Problems often give speeds in ft/s but ask for answers in m/s.
• Engineering design: Conveyor belts, escalators, and other machinery may have specs in either unit depending on the manufacturer.
• Sports science: Sprint times and ball speeds are often reported in ft/s in the US, but international comparisons use m/s.
• Weather data: Wind speeds in the US are sometimes given in ft/s, while international reports use m/s.
• Firearms and ballistics: Muzzle velocities are commonly quoted in ft/s, but some ballistic tables use m/s.

Limitations of the Conversion

This conversion is purely mathematical and has no limitations other than the precision of the input. The factor 0.3048 is exact, so the only source of error is how many decimal places you round to. For everyday purposes, two decimal places is sufficient. For scientific work, you may want more. The calculator rounds to two decimals, but you can easily do the multiplication yourself if you need more precision.

Note that this conversion applies only to linear speeds. It does not apply to rotational speeds (like revolutions per minute) or to accelerations (which would require converting ft/s² to m/s² by multiplying by 0.3048 again).

Frequently Asked Questions

How many m/s is 1 ft/s?

Exactly 0.3048 m/s. This is the base conversion factor, so any speed in ft/s is that number times the speed in m/s.

What is the formula to convert ft/s to m/s?

Multiply the speed in ft/s by 0.3048. For example, 20 ft/s × 0.3048 = 6.096 m/s.

How do I convert m/s to ft/s?

Divide the speed in m/s by 0.3048, or multiply by 3.28084. For example, 10 m/s ÷ 0.3048 = 32.808 ft/s.

Is 30 ft/s the same as 10 m/s?

No, 30 ft/s equals 9.144 m/s (30 × 0.3048). To get exactly 10 m/s, you need 32.808 ft/s.

Why is the conversion factor 0.3048 and not a round number?

Because the foot was historically defined in terms of the meter in 1959. The international yard was set to 0.9144 meters, and since one foot is one-third of a yard, that gives 0.9144 / 3 = 0.3048 meters exactly.

Can I use this for wind speed?

Yes, wind speed is a linear speed, so the same conversion applies. A wind of 50 ft/s is 15.24 m/s, which is a strong gale on the Beaufort scale.

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in ft | Speed (ft/s) | ft/s | 10 | 0
out ms | Speed (m/s) | m/s | ft * 0.3048 | 2