Cubic feet per hour to Cubic meters per minute conversion

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

To convert cubic feet per hour (ft³/hr) to cubic meters per minute (m³/min), you'll need to follow a couple of steps to make the conversion:

1. Convert cubic feet to cubic meters:

   • 1 cubic foot (ft³) is approximately equal to 0.0283168 cubic meters (m³).

2. Convert hours to minutes:

   • There are 60 minutes in an hour.

So, the conversion factor from cubic feet per hour to cubic meters per minute involves multiplying by 0.0283168 and then dividing by 60.

Let's do the conversion:

$1 \text{ ft}^3/\text{hr} = 1 \text{ ft}^3 \times \frac{0.0283168 \text{ m}^3}{1 \text{ ft}^3} \times \frac{1 \text{ hr}}{60 \text{ min}}$

$= 0.0283168 \text{ m}^3/\text{hr} \times \frac{1 \text{ hr}}{60 \text{ min}}$

$= \frac{0.0283168 \text{ m}^3}{60 \text{ min}}$

$= 0.00047194667 \text{ m}^3/\text{min}$

So,

$1 \text{ ft}^3/\text{hr} \approx 0.00047194667 \text{ m}^3/\text{min}$

Real-World Examples for Other Quantities

1. Gas Flow in Residential Heating:

   • A typical residential natural gas furnace might have a flow rate of around 600 ft³/hr.
     • $600 \text{ ft}^3/\text{hr} \times 0.00047194667 \approx 0.2832 \text{ m}^3/\text{min}$

2. Aquarium Pump:

   • A common aquarium pump might have a flow rate of about 1000 ft³/hr.
     • $1000 \text{ ft}^3/\text{hr} \times 0.00047194667 \approx 0.47195 \text{ m}^3/\text{min}$

3. Industrial Air Handling:

   • A large industrial air handling unit might have a flow rate of 5000 ft³/hr.
     • $5000 \text{ ft}^3/\text{hr} \times 0.00047194667 \approx 2.3597 \text{ m}^3/\text{min}$

4. Commercial HVAC Systems:

   • A commercial HVAC system might have a flow rate of 20,000 ft³/hr.
     • $20000 \text{ ft}^3/\text{hr} \times 0.00047194667 \approx 9.439 \text{ m}^3/\text{min}$

These examples illustrate how the conversion factor is useful in various applications, from residential heating and aquarium maintenance to industrial and commercial air handling systems.