Cubic feet per hour (ft³/h) to Cubic meters per second (m³/s) conversion

Understanding Cubic feet per hour to Cubic meters per second Conversion

Cubic feet per hour ($ft^3/h$) and cubic meters per second ($m^3/s$) are both units of volumetric flow rate, which describes how much volume moves through a system over time. Cubic feet per hour is commonly seen in HVAC, gas distribution, and industrial airflow contexts, while cubic meters per second is the standard SI unit often used in engineering, fluid mechanics, and scientific work.

Converting between these units is useful when comparing equipment specifications, interpreting international technical documents, or working across systems that use imperial and metric measurements. It helps ensure flow rates are expressed in the unit required for design, reporting, or compliance.

Conversion Formula

To convert cubic feet per hour to cubic meters per second, use the verified relationship:

$$1\ ft^3/h = 0.000007865786666337\ m^3/s$$

So the conversion formula is:

$$m^3/s = ft^3/h \times 0.000007865786666337$$

For the reverse conversion:

$$1\ m^3/s = 127132.86571572\ ft^3/h$$

And the reverse formula is:

$$ft^3/h = m^3/s \times 127132.86571572$$

Step-by-Step Example

Suppose a ventilation system moves $18{,}500\ ft^3/h$ of air.

1. Write the formula

$$m^3/s = ft^3/h \times 0.000007865786666337$$

2. Substitute the value

$$m^3/s = 18{,}500 \times 0.000007865786666337$$

3. Calculate

$$m^3/s = 0.1455174633272345$$

So:

$$18{,}500\ ft^3/h = 0.1455174633272345\ m^3/s$$

Real-World Examples

• A small residential exhaust system rated at $2{,}400\ ft^3/h$ can be converted to cubic meters per second when comparing it with metric fan catalogs or international HVAC standards.
• A laboratory air handling unit delivering $12{,}000\ ft^3/h$ may need conversion to $m^3/s$ for engineering calculations in SI-based design software.
• An industrial dust collection branch carrying $48{,}000\ ft^3/h$ is often evaluated in metric units when equipment is sourced from European manufacturers.
• A natural gas or process gas stream measured at $95{,}000\ ft^3/h$ may be converted to $m^3/s$ for plant-wide reporting where SI units are required.

Interesting Facts

• The cubic foot is a volume unit derived from the foot, an imperial and U.S. customary unit of length, while the cubic meter is derived from the meter, the SI base unit of length. This makes $m^3/s$ the SI-consistent volumetric flow unit used widely in science and engineering. Source: NIST SI Units
• Cubic meters per second are commonly used to describe very large flows such as river discharge, ventilation output, and industrial fluid transport, whereas cubic feet per hour is more common in regional equipment specifications and utility measurements. Source: Wikipedia: Volumetric flow rate

Summary

Cubic feet per hour and cubic meters per second both measure volume flow rate, but they belong to different measurement systems. The verified conversion factor from cubic feet per hour to cubic meters per second is:

$$1\ ft^3/h = 0.000007865786666337\ m^3/s$$

That means any value in $ft^3/h$ can be converted by multiplying by $0.000007865786666337$.

For reverse conversions, the verified factor is:

$$1\ m^3/s = 127132.86571572\ ft^3/h$$

These relationships are useful in HVAC, industrial processing, environmental engineering, and any application where flow data must be compared across imperial and metric systems.

How to Convert Cubic feet per hour to Cubic meters per second

To convert Cubic feet per hour to Cubic meters per second, multiply the flow rate by the conversion factor from $ft^3/h$ to $m^3/s$. For this example, convert $25\ ft^3/h$ using the verified factor.

1. Write the conversion factor:
   Use the verified relationship between the two units:

   $$1\ ft^3/h = 0.000007865786666337\ m^3/s$$

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

   $$25\ ft^3/h \times 0.000007865786666337\ \frac{m^3/s}{ft^3/h}$$

3. Cancel the original unit:
   The $ft^3/h$ units cancel, leaving the result in $m^3/s$:

   $$25 \times 0.000007865786666337 = 0.0001966446666584$$

4. Result:

   $$25\ ft^3/h = 0.0001966446666584\ m^3/s$$

A quick check is to see that the result is much smaller than 1, which makes sense when converting an hourly flow into a per-second flow. Keep track of unit cancellation to avoid mistakes.

What is the formula to convert Cubic feet per hour to Cubic meters per second?

Use the verified factor: $1\ \text{ft}^3/\text{h} = 0.000007865786666337\ \text{m}^3/\text{s}$.
The formula is $\text{m}^3/\text{s} = \text{ft}^3/\text{h} \times 0.000007865786666337$.

How many Cubic meters per second are in 1 Cubic foot per hour?

There are $0.000007865786666337\ \text{m}^3/\text{s}$ in $1\ \text{ft}^3/\text{h}$.
This is the direct unit conversion based on the verified factor.

How do I convert a larger flow rate from ft3/h to m3/s?

Multiply the number of cubic feet per hour by $0.000007865786666337$.
For example, if you have $X\ \text{ft}^3/\text{h}$, then the result is $X \times 0.000007865786666337\ \text{m}^3/\text{s}$.

Where is converting Cubic feet per hour to Cubic meters per second used in real life?

This conversion is commonly used in HVAC, gas flow, ventilation, and industrial fluid handling.
It helps when equipment specifications are given in imperial units, but engineering calculations or international standards require SI units such as $\text{m}^3/\text{s}$.

Why is the result in m3/s such a small number?

A cubic foot is smaller than a cubic meter, and an hour is much longer than a second.
Because you are converting to a larger volume unit and a shorter time unit, the numerical result becomes a small decimal like $0.000007865786666337$ for $1\ \text{ft}^3/\text{h}$.

Can I use this conversion factor for gases and liquids?

Yes, this factor converts volumetric flow units only, so it applies to gases and liquids alike.
It does not account for pressure, temperature, or fluid properties; it only changes $\text{ft}^3/\text{h}$ into $\text{m}^3/\text{s}$ using $0.000007865786666337$.