Cubic feet per minute to Cubic yards per hour conversion

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

To convert from Cubic Feet per Minute (CFM) to Cubic Yards per Hour (CYH), you need to understand a few basic unit conversions:

1. Cubic Feet to Cubic Yards: There are 27 cubic feet (ft³) in 1 cubic yard (yd³) since a yard is 3 feet and $3^3 = 27$.

2. Minutes to Hours: There are 60 minutes in 1 hour.

To perform the conversion, follow these steps:

1. Convert the flow rate from Cubic Feet per Minute to Cubic Feet per Hour.
2. Convert Cubic Feet per Hour to Cubic Yards per Hour.

Let's work through the conversion:

1. Convert CFM to Cubic Feet per Hour (CFH): $1 \text{ CFM} \times 60 \text{ minutes/hour} = 60 \text{ CFH}$

2. Convert CFH to Cubic Yards per Hour (CYH): $60 \text{ CFH} \div 27 \text{ cubic feet/cubic yard} = \frac{60}{27} \text{ CYH}$ Simplifying that fraction gives approximately: $60 \div 27 \approx 2.22 \text{ CYH}$

So, 1 Cubic Foot per Minute is approximately 2.22 Cubic Yards per Hour.

Real-World Examples

Example 1:

• HVAC Systems: A typical residential HVAC system might have a flow rate of 400 Cubic Feet per Minute.
  • Conversion: $400 \text{ CFM} = 400 \times 60 \text{ CFH} = 24,000 \text{ CFH}$ $24,000 \div 27 \approx 888.89 \text{ CYH}$ So, a 400 CFM HVAC system moves approximately 888.89 Cubic Yards per Hour.

Example 2:

• Industrial Fans: An industrial exhaust fan might have a flow rate of 1000 Cubic Feet per Minute.
  • Conversion: $1000 \text{ CFM} = 1000 \times 60 \text{ CFH} = 60,000 \text{ CFH}$ $60,000 \div 27 \approx 2222.22 \text{ CYH}$ Thus, a 1000 CFM industrial fan moves approximately 2222.22 Cubic Yards per Hour.

Example 3:

• Air Purifiers: A portable air purifier might have a flow rate of 150 Cubic Feet per Minute.
  • Conversion: $150 \text{ CFM} = 150 \times 60 \text{ CFH} = 9,000 \text{ CFH}$ $9,000 \div 27 = 333.33 \text{ CYH}$ Therefore, a 150 CFM air purifier moves approximately 333.33 Cubic Yards per Hour.

These examples illustrate how various air-moving devices can have vastly different flow rates, which relate to how much air they can move over an hour when converted to Cubic Yards per Hour.