Cubic feet per minute (ft³/min) to Cubic feet per second (ft³/s) conversion

Understanding Cubic feet per minute to Cubic feet per second Conversion

Cubic feet per minute ($ft^3/min$) and cubic feet per second ($ft^3/s$) are both units of volumetric flow rate, meaning they describe how much volume passes through a system over time. These units are commonly used in ventilation, air handling, gas movement, and industrial flow measurements.

Converting from $ft^3/min$ to $ft^3/s$ is useful when comparing equipment specifications, engineering formulas, or measurement systems that use different time bases. Because one unit measures flow per minute and the other per second, the conversion helps keep calculations consistent.

Conversion Formula

The conversion relationship is:

$$1\ ft^3/min = 0.01666666666667\ ft^3/s$$

To convert cubic feet per minute to cubic feet per second:

$$ft^3/s = ft^3/min \times 0.01666666666667$$

The reverse relationship is also:

$$1\ ft^3/s = 60\ ft^3/min$$

Step-by-Step Example

Suppose an industrial exhaust fan moves $425\ ft^3/min$ of air.

Write the formula:

$$ft^3/s = ft^3/min \times 0.01666666666667$$

Substitute the value:

$$ft^3/s = 425 \times 0.01666666666667$$

Calculate:

$$425\ ft^3/min = 7.08333333333475\ ft^3/s$$

So, a flow rate of $425\ ft^3/min$ is equal to $7.08333333333475\ ft^3/s$.

Real-World Examples

• A residential bathroom exhaust fan rated at $110\ ft^3/min$ has a flow rate of $1.8333333333337\ ft^3/s$.
• A workshop dust collection line carrying $900\ ft^3/min$ of air corresponds to $15.000000000003\ ft^3/s$.
• A commercial HVAC supply duct delivering $2{,}400\ ft^3/min$ equals $40.000000000008\ ft^3/s$.
• A laboratory ventilation system moving $75\ ft^3/min$ of air converts to $1.25000000000025\ ft^3/s$.

Interesting Facts

• Cubic feet per minute, often abbreviated as CFM, is one of the most common airflow ratings for fans, blowers, and HVAC equipment in the United States. Wikipedia provides a concise overview of volumetric flow rate units: https://en.wikipedia.org/wiki/Volumetric_flow_rate
• The cubic foot is a U.S. customary and imperial unit of volume, and flow-rate units built from it remain widely used in building services, compressed air systems, and industrial ventilation. Britannica has a background article on the foot as a unit of measure: https://www.britannica.com/science/foot-measurement

Additional Notes

Because the only difference between $ft^3/min$ and $ft^3/s$ is the time interval, the conversion is straightforward. The volume unit, cubic foot, stays the same throughout the process.

This means the conversion does not involve any change in physical quantity type. It remains a volume flow rate measurement before and after conversion.

Using $ft^3/s$ may be more convenient in scientific or engineering equations where time is expressed in seconds. Using $ft^3/min$ may be more convenient in equipment catalogs and building airflow specifications.

For quick reference:

$$ft^3/s = ft^3/min \times 0.01666666666667$$

And the inverse:

$$ft^3/min = ft^3/s \times 60$$

These relationships make it easy to move between the two units when comparing airflow values across technical documents, equipment labels, or design calculations.

How to Convert Cubic feet per minute to Cubic feet per second

To convert Cubic feet per minute to Cubic feet per second, divide the flow rate by 60 because there are 60 seconds in 1 minute. You can also use the direct conversion factor for this unit change.

1. Write the conversion factor:
   The conversion factor is:

   $$1\ \text{ft}^3/\text{min} = 0.01666666666667\ \text{ft}^3/\text{s}$$

2. Set up the conversion:
   Multiply the given value by the conversion factor:

   $$25\ \text{ft}^3/\text{min} \times 0.01666666666667\ \frac{\text{ft}^3/\text{s}}{\text{ft}^3/\text{min}}$$

3. Cancel the original unit:
   The $\text{ft}^3/\text{min}$ units cancel, leaving only $\text{ft}^3/\text{s}$:

   $$25 \times 0.01666666666667 = 0.41666666666675\ \text{ft}^3/\text{s}$$

4. Round to the required result:
   Rounded to match the verified output:

   $$0.41666666666675 \approx 0.4166666666667\ \text{ft}^3/\text{s}$$

5. Result:

   $$25\ \text{Cubic feet per minute} = 0.4166666666667\ \text{Cubic feet per second}$$

Practical tip: For any ft³/min to ft³/s conversion, dividing by 60 gives the same result. This is useful for quick mental checks when working with airflow rates.

What is the formula to convert Cubic feet per minute to Cubic feet per second?

To convert Cubic feet per minute to Cubic feet per second, use the factor $1\ \text{ft}^3/\text{min} = 0.01666666666667\ \text{ft}^3/\text{s}$.
The formula is: $\text{ft}^3/\text{s} = \text{ft}^3/\text{min} \times 0.01666666666667$.

How many Cubic feet per second are in 1 Cubic foot per minute?

There are $0.01666666666667\ \text{ft}^3/\text{s}$ in $1\ \text{ft}^3/\text{min}$.
This is the standard conversion factor used to change a flow rate from per minute to per second.

When would I need to convert ft3/min to ft3/s?

This conversion is useful in airflow, ventilation, HVAC, and industrial process calculations.
For example, equipment ratings may be listed in $\text{ft}^3/\text{min}$ while engineering formulas or simulation tools require $\text{ft}^3/\text{s}$.

Is Cubic feet per minute larger than Cubic feet per second?

Yes, for the same physical flow, a value in $\text{ft}^3/\text{min}$ will be numerically larger than its equivalent in $\text{ft}^3/\text{s}$.
That is why converting to $\text{ft}^3/\text{s}$ uses the factor $0.01666666666667$, making the number smaller.

Can I convert ft3/min to ft3/s with a simple multiplication?

Yes, the conversion only requires one multiplication by the factor $0.01666666666667$.
If you have a value in $\text{ft}^3/\text{min}$, multiply it directly to get the equivalent in $\text{ft}^3/\text{s}$.

Why is the conversion factor $0.01666666666667$?

The verified relationship for this page is $1\ \text{ft}^3/\text{min} = 0.01666666666667\ \text{ft}^3/\text{s}$.
This factor is applied consistently for any flow value when converting from minutes to seconds.