Cubic feet per hour to Cubic meters per hour conversion

How to convert cubic feet per hour to cubic meters per hour?

To convert cubic feet per hour (ft³/h) to cubic meters per hour (m³/h), you need to use a conversion factor. Since 1 cubic meter is equivalent to approximately 35.3147 cubic feet, you use this ratio to convert between the units.

Let's go through the conversion in detail:

$1 \text{ ft³/h} = \frac{1 \text{ ft³/h}}{35.3147} \approx 0.0283168 \text{ m³/h}$

So,

$1 \text{ ft³/h} \approx 0.0283168 \text{ m³/h}$

Here are some examples of other quantities of cubic feet per hour converted to cubic meters per hour using the same conversion factor:

1. 10 cubic feet per hour (ft³/h):

$10 \text{ ft³/h} = 10 \times 0.0283168 \approx 0.283168 \text{ m³/h}$

2. 50 cubic feet per hour (ft³/h):

$50 \text{ ft³/h} = 50 \times 0.0283168 \approx 1.41584 \text{ m³/h}$

3. 100 cubic feet per hour (ft³/h):

$100 \text{ ft³/h} = 100 \times 0.0283168 \approx 2.83168 \text{ m³/h}$

4. 250 cubic feet per hour (ft³/h):

$250 \text{ ft³/h} = 250 \times 0.0283168 \approx 7.0792 \text{ m³/h}$

5. 1,000 cubic feet per hour (ft³/h):

$1,000 \text{ ft³/h} = 1,000 \times 0.0283168 \approx 28.3168 \text{ m³/h}$

Real-World Examples

1. Natural Gas Flow:

   • For residential natural gas consumption, which might be measured in cubic feet per hour, a typical home might use around 100 ft³/h in peak times during the winter.
   • Converting this to cubic meters per hour: $100 \text{ ft³/h} \approx 2.83168 \text{ m³/h}$

2. HVAC Systems:

   • HVAC systems might be rated in terms of airflow in cubic feet per minute (cfm). For larger systems, this could easily be translated to cubic feet per hour. For instance, an industrial HVAC unit might move 5,000 ft³/h.
   • Converting this to cubic meters per hour: $5,000 \text{ ft³/h} \approx 141.584 \text{ m³/h}$

3. Industrial Air Handling:

   • In manufacturing facilities, air handling systems could be rated to move large volumes of air, such as 50,000 ft³/h.
   • Converting this to cubic meters per hour: $50,000 \text{ ft³/h} \approx 1,415.84 \text{ m³/h}$

These conversions help in understanding different units of measurement and ease communication in various engineering disciplines and applications.