Cubic feet per hour to Cubic yards per minute conversion

How to convert cubic feet per hour to cubic yards per minute?

To convert from cubic feet per hour (cfh) to cubic yards per minute (cym), we need to know the following conversions:

1 cubic yard (cy) = 27 cubic feet (cf) 1 hour = 60 minutes

Let's break down the steps for the conversion:

1. Start with the given rate in cubic feet per hour.
2. Convert cubic feet to cubic yards by dividing by 27 (since 1 cubic yard = 27 cubic feet).
3. Convert hours to minutes by dividing by 60 (since 1 hour = 60 minutes).

So, the conversion formula looks like this:

$\text{Volume Flow Rate in cubic yards per minute (cym)} = \frac{\text{Volume in cubic feet per hour (cfh)}}{27 \times 60}$

Now let's use this formula to convert 1 cubic feet per hour to cubic yards per minute:

$1 \text{ cfh} = \frac{1}{27 \times 60} \text{ cubic yards per minute}$

$1 \text{ cfh} = \frac{1}{1620} \text{ cubic yards per minute}$

$1 \text{ cfh} \approx 0.000617 \text{ cubic yards per minute}$

Real World Examples:

1. Home Heating Systems: Let's say a furnace has an airflow rate of 1000 cubic feet per hour (cfh). To find out the flow rate in cubic yards per minute:

$1000 \text{ cfh} = \frac{1000}{27 \times 60} \text{ cubic yards per minute}$

$1000 \text{ cfh} = \frac{1000}{1620} \approx 0.617 \text{ cubic yards per minute}$

2. Industrial HVAC Systems: An industrial HVAC system may have an airflow rate of 5000 cubic feet per hour (cfh). Using our formula:

$5000 \text{ cfh} = \frac{5000}{27 \times 60} \text{ cubic yards per minute}$

$5000 \text{ cfh} = \frac{5000}{1620} \approx 3.086 \text{ cubic yards per minute}$

3. Water Pumps: Assume a pump has a flow rate of 200 cubic feet per hour (cfh). Converting to cubic yards per minute:

$200 \text{ cfh} = \frac{200}{27 \times 60} \text{ cubic yards per minute}$

$200 \text{ cfh} = \frac{200}{1620} \approx 0.123 \text{ cubic yards per minute}$

These conversions are useful in various fields like HVAC, engineering, and environmental sciences, helping professionals make accurate calculations for design and analysis purposes.