Kilolitres per minute to Cubic Millimeters per second conversion

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

To convert 1 kilolitre per minute to cubic millimeters per second, we need to follow these steps:

1. Understand the units:

   • 1 kilolitre (kl) = 1,000 liters (l)
   • 1 liter = 1,000,000 cubic millimeters (mm³)
   • Thus, 1 kilolitre = 1,000 * 1,000,000 mm³ = 1,000,000,000 mm³
   • 1 minute = 60 seconds

2. Convert kilolitres per minute to cubic millimeters per minute:

   • 1 kilolitre per minute = 1,000,000,000 mm³ per minute

3. Convert cubic millimeters per minute to cubic millimeters per second:

   • Since there are 60 seconds in a minute, divide by 60.
   • $\frac{1,000,000,000 \text{ mm}³}{60 \text{ s}} = 16,666,666.67 \text{ mm}³/\text{s}$

Thus, 1 kilolitre per minute is equivalent to 16,666,666.67 cubic millimeters per second.

---

Real-World Examples for Other Quantities of Kilolitres per Minute

1. Municipal Water Supply:

• Example: A small city might have a water pump station with a flow rate of 10 kilolitres per minute.
• Conversion: $10 \text{ kl/min} = 10 \times 16,666,666.67 \text{ mm}³/\text{s} = 166,666,666.7 \text{ mm}³/\text{s}$

2. Commercial Firefighting:

• Example: A high-capacity fire hose could deliver water at a rate of 2 kilolitres per minute.
• Conversion: $2 \text{ kl/min} = 2 \times 16,666,666.67 \text{ mm}³/\text{s} = 33,333,333.34 \text{ mm}³/\text{s}$

3. Industrial Processes:

• Example: An industrial cooling system might require a flow rate of 5 kilolitres per minute.
• Conversion: $5 \text{ kl/min} = 5 \times 16,666,666.67 \text{ mm}³/\text{s} = 83,333,333.35 \text{ mm}³/\text{s}$

4. Agricultural Irrigation:

• Example: A large-scale irrigation system might have a flow rate of 15 kilolitres per minute.
• Conversion: $15 \text{ kl/min} = 15 \times 16,666,666.67 \text{ mm}³/\text{s} = 250,000,000.05 \text{ mm}³/\text{s}$

These examples illustrate how to convert kilolitres per minute to cubic millimeters per second and provide a better understanding of how these flow rates are used in different applications.