Cubic inches per minute to Litres per second conversion

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

To convert cubic inches per minute (in³/min) to liters per second (L/s), you can follow these steps:

1. Understand the basic conversion factors:

   • 1 inch = 2.54 centimeters
   • 1 cubic inch (in³) = (2.54 cm)³ = 16.387064 cm³
   • 1 cubic centimeter (cm³) = 1 milliliter (mL)
   • 1000 milliliters (mL) = 1 liter (L)
   • 1 minute = 60 seconds

2. Use these conversions to convert in³/min to L/s:

   • Start by converting the volume from cubic inches to cubic centimeters (which is the same as milliliters).
   • Then, convert milliliters to liters.
   • Finally, convert minutes to seconds.

Here’s the step-by-step conversion for 1 in³/min to L/s:

$1 \text{ in}³/\text{min} \times \frac{16.387064 \text{ cm}³}{1 \text{ in}³} \times \frac{1 \text{ L}}{1000 \text{ cm}³} \times \frac{1 \text{ min}}{60 \text{ s}}$

Simplify the calculation:

$= 1 \times 16.387064 \times \frac{1}{1000} \times \frac{1}{60}$ $= 16.387064 \div 1000 \div 60$ $= 0.016387064 \div 60$ $\approx 0.000273$

So, $1 \text{ in}³/\text{min} \approx 0.000273 \text{ L/s}$.

Real World Examples:

Here’s how this conversion works for different values:

1. 10 in³/min to L/s: $10 \text{ in}³/\text{min} \times 0.000273$ $= 0.00273 \text{ L/s}$

2. 100 in³/min to L/s: $100 \text{ in}³/\text{min} \times 0.000273$ $= 0.0273 \text{ L/s}$

3. 500 in³/min to L/s: $500 \text{ in}³/\text{min} \times 0.000273$ $= 0.1365 \text{ L/s}$

4. 1000 in³/min to L/s: $1000 \text{ in}³/\text{min} \times 0.000273$ $= 0.273 \text{ L/s}$

Real-World Contexts:

1. Engineering Applications:

   • Water flow in small residential water systems might be measured in cubic inches per minute, allowing for precise adjustments in the flow rate for tasks such as garden irrigation.

2. Manufacturing:

   • Coolant flow rates in CNC machines often need precise control and might be measured in cubic inches per minute to ensure proper cooling of machined parts.

3. Automotive:

   • Fuel injector flow rates in some smaller vehicles or specific mechanical simulations could be measured in cubic inches per minute before being converted to more standard units like liters per second for greater utility and standardization.

Each conversion is directly proportional, so multiplying the in³/min by approximately 0.000273 gives you L/s. This method can be applied to any flow rate provided in cubic inches per minute to convert it to liters per second.