Cubic feet per second to Kilolitres per minute conversion

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

To convert cubic feet per second (cfs) to kilolitres per minute (kL/min), you can follow these steps:

1. Understand the units:

   • 1 cubic foot (ft³) = 0.0283168 cubic meters (m³)
   • 1 cubic meter (m³) = 1 kilolitre (kL)
   • 1 second (s) = 1/60 minutes (min)

2. Conversion formula:

   • First, convert cubic feet to cubic meters.
   • Then, convert seconds to minutes.

So the conversion from cubic feet per second to kilolitres per minute is: $\text{kL/min} = (\text{cfs}) \times 0.0283168 \text{ m}³/\text{ft}³ \times 60 \text{ s/min}$

3. Plug in the value of 1 cfs: $\text{kL/min} = 1 \times 0.0283168 \times 60$ $\text{kL/min} = 1.698988$

So, 1 cubic foot per second is approximately 1.699 kilolitres per minute.

Real-world Examples

Here are some examples of different quantities of cubic feet per second and their equivalent in kilolitres per minute:

• 5 cubic feet per second: $5 \times 0.0283168 \times 60 = 8.49494$ So, 5 cfs is approximately 8.495 kL/min.

• 10 cubic feet per second: $10 \times 0.0283168 \times 60 = 16.98988$ So, 10 cfs is approximately 16.99 kL/min.

• 50 cubic feet per second: $50 \times 0.0283168 \times 60 = 84.9494$ So, 50 cfs is approximately 84.95 kL/min.

• 100 cubic feet per second: $100 \times 0.0283168 \times 60 = 169.8988$ So, 100 cfs is approximately 169.90 kL/min.

Real-world Context

1. River Flow Rate:

   • A small river might flow at around 50 cfs, which is about 84.95 kL/min.
   • A larger river might flow at around 500 cfs, which is about 849.49 kL/min.

2. Water Supply Infrastructure:

   • A municipal water pumping station might have a capacity of around 100 cfs, providing about 169.90 kL/min to the city's water system.

3. Irrigation Systems:

   • Large agricultural irrigation systems might operate at flow rates around 200-300 cfs, equivalent to approximately 339.80 to 509.70 kL/min.

These examples illustrate both the conversion process and how different flow rates are encountered in practical scenarios.