Cubic meters per minute to Cubic feet per hour conversion

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

To convert cubic meters per minute (m³/min) to cubic feet per hour (ft³/hr), you can follow these steps:

Conversion Factors

1. Cubic Meters to Cubic Feet: 1 cubic meter (m³) is equivalent to approximately 35.3147 cubic feet (ft³).
2. Minutes to Hours: 1 minute is equivalent to 1/60 hours.

Conversion Formula:

$\text{Cubic feet/hour} = \text{Cubic meters/minute} \times 35.3147 \times 60$

Step-by-Step Example for 1 m³/min:

1. Start with the given value: $1 \, \text{m³/min}$
2. Convert cubic meters to cubic feet: $1 \, \text{m³/min} \times 35.3147 \, \text{ft³/m³}$
3. Convert minutes to hours by multiplying by 60: $(1 \, \text{m³/min} \times 35.3147 \, \text{ft³/m³}) \times 60 \, \text{min/hr}$
4. Perform the calculations: $1 \times 35.3147 \times 60 = 2,118.882 \, \text{ft³/hr}$

So, 1 cubic meter per minute is equal to 2,118.882 cubic feet per hour.

Real World Examples with Different Quantities

1. 2 m³/min: $\text{Cubic feet/hour} = 2 \times 35.3147 \times 60 = 4,237.764 \, \text{ft³/hr}$

2. 0.5 m³/min: $\text{Cubic feet/hour} = 0.5 \times 35.3147 \times 60 = 1,059.441 \, \text{ft³/hr}$

3. 10 m³/min: $\text{Cubic feet/hour} = 10 \times 35.3147 \times 60 = 21,188.82 \, \text{ft³/hr}$

4. 25 m³/min: $\text{Cubic feet/hour} = 25 \times 35.3147 \times 60 = 52,972.05 \, \text{ft³/hr}$

Practical Applications

• HVAC Systems: In heating, ventilation, and air conditioning systems, the capacity of air handling units is often measured in terms of volume flow rate. For instance, an air handling unit operating at 2 m³/min would have a flow rate of 4,237.764 ft³/hr.
• Water Treatment Plant: A filtration system processing 10 m³/min of water would translate to handling 21,188.82 ft³/hr, which can help in planning infrastructure and sizing storage tanks.
• Industrial Processes: In chemical and manufacturing industries, monitoring and controlling the flow rate of gases or liquids is crucial. For example, a process requiring 0.5 m³/min of a particular gas would need equipment capable of handling 1,059.441 ft³/hr.

Converting units of volume flow rate ensures compatibility between different systems and ensures accuracy in industrial applications.