Cubic meters per hour to Cubic feet per minute conversion

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

To convert cubic meters per hour (m³/h) to cubic feet per minute (CFM), you need to go through a series of unit conversions. Here's the step-by-step process:

1. Convert cubic meters to cubic feet: 1 cubic meter (m³) is approximately equal to 35.3147 cubic feet (ft³).

2. Convert hours to minutes: 1 hour = 60 minutes.

Combining these two steps, we can set up the conversion as follows:

$1 \text{ m}^3/\text{h} \times \frac{35.3147 \text{ ft}^3}{1 \text{ m}^3} \times \frac{1 \text{ h}}{60 \text{ min}}$

$1 \text{ m}^3/\text{h} = \frac{35.3147 \text{ ft}^3}{60 \text{ min}}$

$1 \text{ m}^3/\text{h} ≈ 0.5886 \text{ ft}^3/\text{min}$

So, 1 cubic meter per hour is approximately 0.5886 cubic feet per minute.

Real-World Examples:

Here are some real-world scenarios using other quantities of cubic meters per hour (m³/h):

1. Small Air Filtration System: Suppose you have an air filtration system with a flow rate of 50 m³/h. To convert this to cubic feet per minute:

   $50 \text{ m}^3/\text{h} \times 0.5886 \text{ ft}^3/\text{min} = 29.43 \text{ ft}^3/\text{min}$

   So, 50 m³/h is approximately 29.43 CFM.

2. Medium Industrial Fan: For an industrial fan rated at 300 m³/h:

   $300 \text{ m}^3/\text{h} \times 0.5886 \text{ ft}^3/\text{min} = 176.58 \text{ ft}^3/\text{min}$

   Therefore, 300 m³/h is approximately 176.58 CFM.

3. HVAC System: An HVAC system with a flow rate of 1000 m³/h:

   $1000 \text{ m}^3/\text{h} \times 0.5886 \text{ ft}^3/\text{min} = 588.6 \text{ ft}^3/\text{min}$

   Thus, 1000 m³/h is approximately 588.6 CFM.

4. Large Warehouse Ventilation: For a large warehouse ventilation system rated at 5000 m³/h:

   $5000 \text{ m}^3/\text{h} \times 0.5886 \text{ ft}^3/\text{min} = 2943 \text{ ft}^3/\text{min}$

   Hence, 5000 m³/h is approximately 2943 CFM.

These examples illustrate how you can convert cubic meters per hour to cubic feet per minute in various practical applications to understand airflow rates in different contexts.