Kilolitres per minute to Cubic inches per second conversion

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

To convert kilolitres per minute (kL/min) to cubic inches per second (in³/s), you need to follow a series of unit conversions. Let's break down the process step by step:

1. Convert kilolitres to litres: 1 kilolitre (kL) = 1000 litres (L)

2. Convert minutes to seconds: 1 minute = 60 seconds

3. Convert litres to cubic inches: 1 litre (L) ≈ 61.0237 cubic inches (in³)

Now, we'll use these steps to convert 1 kL/min to in³/s.

Step-by-Step Conversion:

1. Convert kilolitres to litres: 1 kL/min = 1000 L/min

2. Convert litres per minute to litres per second: $1000 \, \text{L/min} \div 60 \, \text{s} = 16.6667 \, \text{L/s}$

3. Convert litres per second to cubic inches per second: $16.6667 \, \text{L/s} \times 61.0237 \, \text{in³/L} ≈ 1017.062 \, \text{in³/s}$

So, 1 kL/min is approximately 1017.062 cubic inches per second.

Real-World Examples for Other Quantities of Kilolitres per Minute:

1. Fire Hydrant Flow:

   • A large industrial fire hydrant might discharge water at a rate of about 1.5 kL/min.
     • $1.5 \, \text{kL/min} \left( \frac{1017.062 \, \text{in³/s}}{\text{kL/min}} \right) ≈ 1525.593 \, \text{in³/s}$

2. Municipal Water Supply:

   • A small municipal water supply system might provide water at a rate of 5 kL/min.
     • $5 \, \text{kL/min} \left( \frac{1017.062 \, \text{in³/s}}{\text{kL/min}} \right) ≈ 5085.31 \, \text{in³/s}$

3. Swimming Pool Filling:

   • A large swimming pool might be filled at a rate of 2 kL/min.
     • $2 \, \text{kL/min} \left( \frac{1017.062 \, \text{in³/s}}{\text{kL/min}} \right) ≈ 2034.124 \, \text{in³/s}$

These calculations help illustrate various real-world applications where you might encounter different volume flow rates measured in kilolitres per minute and their corresponding rates in cubic inches per second.