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

Understanding Cubic feet per second to Cubic yards per hour Conversion

Cubic feet per second ($ft^3/s$) and cubic yards per hour ($yd^3/h$) are both units of volume flow rate, meaning they describe how much volume moves through a system over time. Cubic feet per second is common in hydrology, drainage, and engineering, while cubic yards per hour is often used for excavation, dredging, bulk material handling, and other large-volume hourly processes.

Converting between these units helps express the same flow in a format that better matches the application. A water discharge rate may be recorded in $ft^3/s$, for example, while construction or earthmoving operations may prefer $yd^3/h$ for planning equipment capacity.

Conversion Formula

The verified conversion relationship is:

$$1\ ft^3/s = 133.33313735122\ yd^3/h$$

So, to convert cubic feet per second to cubic yards per hour:

$$yd^3/h = ft^3/s \times 133.33313735122$$

The reverse verified relationship is:

$$1\ yd^3/h = 0.00750001102401\ ft^3/s$$

Step-by-Step Example

Suppose a discharge channel carries $18.6\ ft^3/s$.

Write the formula:

$$yd^3/h = ft^3/s \times 133.33313735122$$

Substitute the value:

$$yd^3/h = 18.6 \times 133.33313735122$$

Calculate:

$$18.6\ ft^3/s = 2479.996355732692\ yd^3/h$$

So a flow rate of $18.6\ ft^3/s$ is equal to $2479.996355732692\ yd^3/h$.

Real-World Examples

• A stormwater outfall measured at $2.4\ ft^3/s$ can also be expressed as $319.999529642928\ yd^3/h$, which may help when comparing hourly runoff volumes.
• A small creek with a discharge of $15\ ft^3/s$ corresponds to $1999.9970602683\ yd^3/h$, a useful scale for flood-control and channel-capacity discussions.
• A pumping system moving slurry at $42.75\ ft^3/s$ equals $5699.991121265655\ yd^3/h$, which is relevant in dredging or aggregate transport operations.
• A temporary bypass pipeline carrying $87.3\ ft^3/s$ converts to $11639.991889761506\ yd^3/h$, a scale often seen in major dewatering or diversion projects.

Interesting Facts

• The cubic foot per second is widely used in the United States to describe streamflow and river discharge. The U.S. Geological Survey and similar agencies commonly report river flow in this unit. Source: USGS Water Science School
• A cubic yard is equal to 27 cubic feet, which helps explain why converting between cubic feet and cubic yards is common in construction, landscaping, and bulk material estimation. Source: Encyclopaedia Britannica – yard

Summary

Cubic feet per second and cubic yards per hour both measure volume flow rate, but they are used in different technical and industrial contexts.

The key verified conversion is:

$$1\ ft^3/s = 133.33313735122\ yd^3/h$$

For direct conversion, use:

$$yd^3/h = ft^3/s \times 133.33313735122$$

For reverse conversion, use:

$$ft^3/s = yd^3/h \times 0.00750001102401$$

This conversion is especially useful when moving between water-flow measurements and large-scale hourly material or fluid handling rates.

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

To convert Cubic feet per second to Cubic yards per hour, multiply the flow rate by the unit conversion factor. In this case, use the verified factor from ft$^3$/s to yd$^3$/h.

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

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

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

   $$1 \text{ ft}^3/\text{s} = 133.33313735122 \text{ yd}^3/\text{h}$$

3. Set up the multiplication: Multiply the given value by the conversion factor so the ft$^3$/s unit converts directly to yd$^3$/h.

   $$25 \text{ ft}^3/\text{s} \times 133.33313735122 \frac{\text{yd}^3/\text{h}}{\text{ft}^3/\text{s}}$$

4. Calculate the result: Perform the multiplication.

   $$25 \times 133.33313735122 = 3333.3284337806$$

5. Result: Therefore,

   $$25 \text{ ft}^3/\text{s} = 3333.3284337806 \text{ yd}^3/\text{h}$$

When converting volume flow rates, always make sure both the volume unit and the time unit are accounted for in the conversion factor. Using the full factor helps avoid rounding errors in the final answer.

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

To convert Cubic feet per second to Cubic yards per hour, multiply the flow rate by the verified factor $133.33313735122$. The formula is $\text{yd}^3/\text{h} = \text{ft}^3/\text{s} \times 133.33313735122$. This gives the equivalent volume flow in Cubic yards per hour.

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

There are $133.33313735122$ Cubic yards per hour in $1$ Cubic foot per second. This is the verified conversion factor used for all calculations on the page. It provides a direct way to convert from $\text{ft}^3/\text{s}$ to $\text{yd}^3/\text{h}$.

Why would I convert Cubic feet per second to Cubic yards per hour?

This conversion is useful when comparing flow rates across engineering, construction, and water management projects. For example, stormwater discharge or dredging output may be measured in $\text{ft}^3/\text{s}$, while project planning may require $\text{yd}^3/\text{h}$. Using the same unit system helps make reports and equipment estimates easier to understand.

How do I convert a specific flow rate from ft3/s to yd3/h?

Take the value in Cubic feet per second and multiply it by $133.33313735122$. For example, if a flow is $2 \text{ ft}^3/\text{s}$, then compute $2 \times 133.33313735122$. The result is the flow rate in Cubic yards per hour.

Is the conversion factor always the same?

Yes, the factor $133.33313735122$ is constant for converting between these two units. It does not change based on the material, pressure, or application. As long as you are converting $\text{ft}^3/\text{s}$ to $\text{yd}^3/\text{h}$, the same factor applies.