Kilolitres per minute to Cubic feet per second conversion

How to convert kilolitres per minute to cubic feet per second?

To convert kilolitres per minute (kL/min) to cubic feet per second (ft³/s), you need to use conversion factors between the units. Here are the steps and the conversion factors involved:

1. Convert kilolitres to liters:

   • 1 kilolitre (kL) = 1000 liters (L)

2. Convert liters to cubic meters:

   • 1 liter (L) = 0.001 cubic meters (m³)

3. Convert cubic meters to cubic feet:

   • 1 cubic meter (m³) ≈ 35.3147 cubic feet (ft³)

4. Convert minutes to seconds:

   • 1 minute = 60 seconds

Let's apply these steps to convert 1 kilolitre per minute to cubic feet per second:

Step-by-Step Conversion:

1. Convert kilolitres per minute to liters per minute: $1 \text{ kL/min} = 1000 \text{ L/min}$

2. Convert liters per minute to cubic meters per minute: $1000 \text{ L/min} \times 0.001 \text{ m³/L} = 1 \text{ m³/min}$

3. Convert cubic meters per minute to cubic feet per minute: $1 \text{ m³/min} \times 35.3147 \text{ ft³/m³} ≈ 35.3147 \text{ ft³/min}$

4. Convert cubic feet per minute to cubic feet per second: $35.3147 \text{ ft³/min} \div 60 \text{ (s/min)} ≈ 0.5886 \text{ ft³/s}$

Final Result:

$1 \text{ kL/min} \approx 0.5886 \text{ ft³/s}$

Real World Examples:

Here are some examples with different quantities of kilolitres per minute:

1. 5 kL/min to ft³/s:

   • Intermediate calculations: $5 \times 0.5886 = 2.943 \text{ ft³/s}$ $\boxed{5 \text{ kL/min} \approx 2.943 \text{ ft³/s}}$

2. 10 kL/min to ft³/s:

   • Intermediate calculations: $10 \times 0.5886 = 5.886 \text{ ft³/s}$ $\boxed{10 \text{ kL/min} \approx 5.886 \text{ ft³/s}}$

3. 50 kL/min to ft³/s:

   • Intermediate calculations: $50 \times 0.5886 = 29.43 \text{ ft³/s}$ $\boxed{50 \text{ kL/min} \approx 29.43 \text{ ft³/s}}$

Application Context:

• Municipal Water Supply Systems: High capacity pumps are often rated in kilolitres per minute. For example, a pump that delivers 10 kL/min or ≈ 5.886 ft³/s.
• Firefighting: Fire hydrants might have flow rates measured in kL/min, critical during emergencies to quantify water output.
• Agriculture: Irrigation systems may use kilolitres per minute to describe water flow for large-scale farm fields. For instance, an irrigation system with a rate of 5 kL/min (≈ 2.943 ft³/s).

Understanding the conversion helps in comparing and utilizing flow rates across different systems and applications effectively.