Cubic inches per minute to Kilolitres per second conversion

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

Sure, let's walk through the process of converting cubic inches per minute (in³/min) to kiloliters per second (kL/s).

Step-by-Step Conversion:

1. Understanding the Units:

   • 1 cubic inch (in³) is a volume measurement.
   • 1 minute is a time measurement.
   • 1 kiloliter (kL) equals 1,000 liters (L).

2. Conversion Factors:

   • 1 inch = 2.54 centimeters (cm) (since 1 inch is defined as exactly 2.54 cm).
   • A liter is defined as 1000 cubic centimeters (cm³).
   • 1 kiloliter = 1,000 liters.

3. Convert Cubic Inches to Cubic Centimeters: Since Volume = Length³, $1 \, \text{in}³ = (2.54)^3 \, \text{cm}³ = 16.387064 \, \text{cm}³$

4. Convert Cubic Centimeters to Liters: $16.387064 \, \text{cm}³ \times (\frac{1 \, \text{L}}{1000 \, \text{cm}³}) = 0.016387064 \, \text{L}$

5. Convert Liters to Kiloliters: $0.016387064 \, \text{L} = 0.000016387064 \, \text{kL}$

6. Convert Minutes to Seconds: 1 minute = 60 seconds

7. Combine the Conversions: Since we want the final unit to be in kiloliters per second (kL/s), $\frac{0.000016387064 \, \text{kL}}{1 \, \text{minute}} \times \frac{1 \, \text{minute}}{60 \, \text{seconds}} = 0.0000002731177333 \, \text{kL/s}$

So, $1 \, \text{in}³/\text{min} = 0.0000002731177333 \, \text{kL/s} \approx 2.731177333 \times 10^{-7} \, \text{kL/s}$

Real World Examples

• Water Flow in Small Systems: If you have a small pump that moves 500 in³/min, you can convert that to kL/s as follows: $500 \, \text{in}³/\text{min} = 500 \times 0.0000002731177333 \, \text{kL/s} \approx 0.000136 \, \text{kL/s}$

• Industrial Fluid Systems: For industrial applications, let’s say a system moves 2000 in³/min: $2000 \, \text{in}³/\text{min} = 2000 \times 0.0000002731177333 \, \text{kL/s} \approx 0.000546 \, \text{kL/s}$

• Firefighting Equipment: Some portable firefighting pumps might move 10000 in³/min: $10000 \, \text{in}³/\text{min} = 10000 \times 0.0000002731177333 \, \text{kL/s} \approx 0.002731 \, \text{kL/s}$

These examples illustrate how cubic inches per minute can be converted to kiloliters per second across different scenarios, showing the flow rate in a global and standardized metric.