Cubic feet per hour (ft³/h) to Cubic yards per second (yd³/s) conversion

Understanding Cubic feet per hour to Cubic yards per second Conversion

Cubic feet per hour ($ft^3/h$) and cubic yards per second ($yd^3/s$) are both units of volumetric flow rate, meaning they describe how much volume passes a point over time. The first is useful for relatively modest hourly flow measurements, while the second expresses much larger flow in yard-based units over seconds.

Converting between these units is helpful in engineering, ventilation, water movement, construction, and bulk material handling when measurements are reported in different unit systems or at different time scales. It allows flow data to be compared consistently across equipment specifications, reports, and design calculations.

Conversion Formula

Using the verified conversion factor:

$$1\ ft^3/h = 0.00001028805072155\ yd^3/s$$

To convert from cubic feet per hour to cubic yards per second:

$$yd^3/s = ft^3/h \times 0.00001028805072155$$

The reverse relationship is:

$$1\ yd^3/s = 97200.142871167\ ft^3/h$$

So to convert from cubic yards per second back to cubic feet per hour:

$$ft^3/h = yd^3/s \times 97200.142871167$$

Step-by-Step Example

Suppose a flow rate is $18{,}500\ ft^3/h$.

Write the formula:

$$yd^3/s = ft^3/h \times 0.00001028805072155$$

Substitute the value:

$$yd^3/s = 18{,}500 \times 0.00001028805072155$$

Calculate:

$$18{,}500\ ft^3/h = 0.190328938348675\ yd^3/s$$

This means a flow of $18{,}500$ cubic feet per hour is equal to $0.190328938348675$ cubic yards per second.

Real-World Examples

• A medium industrial ventilation system moving $12{,}000\ ft^3/h$ of air can be expressed as $12{,}000 \times 0.00001028805072155 = 0.1234566086586\ yd^3/s$.
• A groundwater discharge pump rated at $48{,}000\ ft^3/h$ corresponds to $48{,}000 \times 0.00001028805072155 = 0.4938264346344\ yd^3/s$.
• A stormwater channel carrying $96{,}000\ ft^3/h$ has an equivalent flow of $96{,}000 \times 0.00001028805072155 = 0.9876528692688\ yd^3/s$.
• A bulk material transfer system handling aerated flow at $150{,}000\ ft^3/h$ is equal to $150{,}000 \times 0.00001028805072155 = 1.5432076082325\ yd^3/s$.

Interesting Facts

• A cubic yard is equal to $27$ cubic feet as a unit of volume, since $1$ yard equals $3$ feet and volume scales by the cube of the length factor. This relationship helps explain why cubic yard flow units are often used for larger-scale applications. Source: Wikipedia – Cubic yard
• The cubic foot is a customary and imperial volume unit commonly used in the United States for airflow, natural gas usage, and storage volume measurements. Reference material on U.S. customary units is available from NIST: NIST Guide for the Use of the International System of Units

Both units describe the same physical concept: volume per unit time.

The difference lies in the size of the volume unit and the size of the time unit.

Because a cubic yard is much larger than a cubic foot, and a second is much shorter than an hour, the numeric value changes significantly during conversion.

For small hourly flows, the result in $yd^3/s$ is often a small decimal.

For large industrial or civil engineering flows, using $yd^3/s$ can make reported values more compact.

This conversion is especially relevant when comparing specifications from different industries.

HVAC documents may favor cubic feet-based units.

Earthmoving, dredging, and civil projects may use cubic yard-based quantities.

Hydraulic studies may also require changing time bases from hours to seconds.

Using the verified factor ensures consistency:

$$1\ ft^3/h = 0.00001028805072155\ yd^3/s$$

And for reverse checks:

$$1\ yd^3/s = 97200.142871167\ ft^3/h$$

When accuracy matters, it is best to keep the full conversion factor during intermediate calculations.

Rounding can be applied only at the final step based on the precision required by the application.

For quick reference, the conversion process is straightforward:

Take the value in $ft^3/h$.

Multiply by $0.00001028805072155$.

The result is the flow rate in $yd^3/s$.

This makes the conversion suitable for calculators, spreadsheets, engineering software, and manual worksheets alike.

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

To convert Cubic feet per hour (ft$^3$/h) to Cubic yards per second (yd$^3$/s), multiply the flow rate by the conversion factor. Since this is a compound unit, the factor already accounts for both the volume and time change.

1. Write down the given value:
   Start with the flow rate in Cubic feet per hour:

   $$25\ \text{ft}^3/\text{h}$$

2. Use the conversion factor:
   The verified conversion factor is:

   $$1\ \text{ft}^3/\text{h} = 0.00001028805072155\ \text{yd}^3/\text{s}$$

3. Set up the multiplication:
   Multiply the given value by the conversion factor so the original unit cancels out:

   $$25\ \text{ft}^3/\text{h} \times 0.00001028805072155\ \frac{\text{yd}^3/\text{s}}{\text{ft}^3/\text{h}}$$

4. Calculate the result:

   $$25 \times 0.00001028805072155 = 0.0002572012680386$$

5. Result:

   $$25\ \text{ft}^3/\text{h} = 0.0002572012680386\ \text{yd}^3/\text{s}$$

A quick way to check your work is to make sure the unit changes from ft$^3$/h to yd$^3$/s correctly. For repeated conversions, keeping the verified factor handy saves time and avoids mistakes.

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

To convert Cubic feet per hour to Cubic yards per second, multiply the flow value in $ft^3/h$ by the verified factor $0.00001028805072155$. The formula is: $yd^3/s = ft^3/h \times 0.00001028805072155$. This gives the equivalent flow rate in Cubic yards per second.

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

There are $0.00001028805072155\ yd^3/s$ in $1\ ft^3/h$. This is the direct verified conversion factor used for all calculations on this page. For larger values, multiply the number of Cubic feet per hour by this same factor.

Why is the converted value so small?

A Cubic yard is much larger than a Cubic foot, and a second is much shorter than an hour. Because of these unit changes, a flow rate expressed in $yd^3/s$ becomes a very small number when starting from $ft^3/h$. That is why the conversion factor is $0.00001028805072155$.

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

This conversion can be useful in engineering, water movement studies, industrial ventilation, and bulk material flow analysis. It helps when one system reports flow in $ft^3/h$ but technical specifications or models require $yd^3/s$. It is especially relevant when comparing equipment data across different measurement conventions.

Can I convert larger flow rates with the same factor?

Yes, the same verified factor applies to any value in $ft^3/h$. For example, if a flow rate is $x\ ft^3/h$, then the result is $x \times 0.00001028805072155\ yd^3/s$. The relationship is linear, so the method does not change for bigger or smaller numbers.

Does this conversion factor ever change?

No, the factor does not change as long as you are converting between the same units: Cubic feet per hour and Cubic yards per second. The verified constant is always $1\ ft^3/h = 0.00001028805072155\ yd^3/s$. Only the input value changes from one conversion to another.