Cubic inches per second to Litres per minute conversion

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

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

1. Convert cubic inches to cubic centimeters: Since there are 16.387 cubic centimeters (cm³) in one cubic inch (in³), you multiply the volume in cubic inches by 16.387 to get the volume in cubic centimeters.

2. Convert cubic centimeters to liters: There are 1000 cubic centimeters in a liter.

3. Convert seconds to minutes: There are 60 seconds in a minute.

Using these steps, let's convert 1 in³/s to L/min.

Step-by-Step Conversion

Step 1: Convert cubic inches to cubic centimeters

$1 \, \text{in}³ = 1 \times 16.387 \, \text{cm}³ = 16.387 \, \text{cm}³$

Step 2: Convert cubic centimeters to liters

$16.387 \, \text{cm}³ = 16.387 \div 1000 \, \text{L} = 0.016387 \, \text{L}$

Step 3: Convert seconds to minutes

Since this flow rate is per second, you need to multiply by 60 to get the rate per minute: $0.016387 \, \text{L/s} \times 60 \, \text{s/min} = 0.98322 \, \text{L/min}$

So, 1 cubic inch per second is equal to approximately 0.98322 liters per minute.

Real World Examples

1. Household Plumbing: A kitchen faucet might have a flow rate of 1 cubic inch per second. We have just established that this equals approximately 0.98322 L/min.

2. Car Fuel Pump: A high-performance car fuel pump might deliver about 2 cubic inches per second. Converting this would give: $2 \, \text{in}³/s \times 16.387 \left( \frac{\text{cm}³}{\text{in}³} \right) \times \frac{1\, \text{L}}{1000\, \text{cm}³} \times 60 \frac{\text{s}}{\text{min}} = 1.9664 \, \text{L/min}$

3. Industrial Water Treatment: An industrial water treatment system might have a flow rate of 10 cubic inches per second. Converting this: $10 \, \text{in}³/s \times 16.387 \left( \frac{\text{cm}³}{\text{in}³} \right) \times \frac{1\, \text{L}}{1000\, \text{cm}³} \times 60 \frac{\text{s}}{\text{min}} = 9.8322 \, \text{L/min}$

4. Fire Hose: A fire hose might have a flow rate of 100 cubic inches per second. Converting this: $100 \, \text{in}³/s \times 16.387 \left( \frac{\text{cm}³}{\text{in}³} \right) \times \frac{1\, \text{L}}{1000\, \text{cm}³} \times 60 \frac{\text{s}}{\text{min}} = 98.322 \, \text{L/min}$

These conversions are useful in many engineering, plumbing, and manufacturing applications, where precise fluid flow measurement and management are crucial.