Litres per hour to Cubic feet per minute conversion

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

To convert a flow rate from litres per hour (L/h) to cubic feet per minute (CFM), we need to follow a few conversion steps, since litres and cubic feet measure volume, and hours and minutes measure time. Here is a step-by-step guide to the conversion:

1. Convert Litres to Cubic Meters: 1 litre (L) is equivalent to 0.001 cubic meters (m³).

2. Convert Cubic Meters to Cubic Feet: 1 cubic meter (m³) is equivalent to approximately 35.3147 cubic feet (ft³).

3. Convert Hours to Minutes: 1 hour = 60 minutes.

Now, we can combine these conversion factors:

$1 \text{ L/h} = \frac{0.001 \text{ m³}}{1 \text{ hour}} \times \frac{35.3147 \text{ ft³}}{1 \text{ m³}} \times \frac{1 \text{ hour}}{60 \text{ minutes}}$

Perform the multiplication and division:

$1 \text{ L/h} = 0.001 \text{ m³/h} \times 35.3147 \text{ ft³/m³} \times \frac{1}{60}$

$1 \text{ L/h} = (0.001 \times 35.3147) \text{ ft³/h} \div 60$

$1 \text{ L/h} = 0.0353147 \text{ ft³/h} \div 60$

$1 \text{ L/h} \approx 0.0005886 \text{ ft³/min}$

So, 1 L/h is approximately 0.0005886 cubic feet per minute (CFM).

Real-World Examples

1. Water Flow Through a Faucet: Suppose a faucet has a flow rate of 1000 L/h. To convert this to CFM:

   $1000 \text{ L/h} \approx 1000 \times 0.0005886 \text{ ft³/min}$

   $1000 \text{ L/h} \approx 0.5886 \text{ CFM}$

2. Aquarium Pump: An aquarium pump might have a flow rate of 500 L/h. Convert this to CFM:

   $500 \text{ L/h} \approx 500 \times 0.0005886 \text{ ft³/min}$

   $500 \text{ L/h} \approx 0.2943 \text{ CFM}$

3. Irrigation System: An irrigation system may have a flow rate of 2000 L/h. Convert to CFM:

   $2000 \text{ L/h} \approx 2000 \times 0.0005886 \text{ ft³/min}$

   $2000 \text{ L/h} \approx 1.1772 \text{ CFM}$

4. Small Fountain: A small decorative fountain has a flow rate of 150 L/h. Convert to CFM:

   $150 \text{ L/h} \approx 150 \times 0.0005886 \text{ ft³/min}$

   $150 \text{ L/h} \approx 0.08829 \text{ CFM}$

These examples show how typical flow rates in litres per hour translate into cubic feet per minute for practical applications.