Cubic inches per hour to Litres per second conversion

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

To convert cubic inches per hour to liters per second, follow these steps:

1. Know the conversion factors:

   • 1 inch = 0.0254 meters
   • 1 cubic inch = (0.0254 meters)³ = 16.387064 cubic centimeters (cm³) = 16.387064 milliliters (mL)
   • 1 liter = 1000 milliliters
   • 1 hour = 3600 seconds

2. Convert cubic inches per hour to cubic centimeters per hour:

   • Since 1 cubic inch = 16.387064 cubic centimeters, the conversion is straightforward: $1 \text{ cubic inch per hour} = 16.387064 \text{ cubic centimeters per hour}$

3. Convert cubic centimeters per hour to liters per second:

   • Since 1 cubic centimeter (cm³) = 1 milliliter (mL) and 1000 milliliters = 1 liter: $\text{Volume in cubic centimeters per hour} = \text{Volume in milliliters per hour}$
   • To convert to liters per hour: $16.387064 \text{ milliliters per hour} = \frac{16.387064}{1000} \text{ liters per hour} = 0.016387064 \text{ liters per hour}$
   • Convert liters per hour to liters per second by dividing by 3600 (seconds in one hour): $0.016387064 \text{ liters per hour} \div 3600 = 4.552 \times 10^{-6} \text{ liters per second}$

So, $1$ cubic inch per hour is approximately $4.552 \times 10^{-6}$ liters per second.

Real-world examples of cubic inches per hour quantities:

1. Water Dripping From a Tap:

   • A slow dripping faucet might leak at a rate of around 10 cubic inches per hour.
     • Conversion: $10 \times 4.552 \times 10^{-6} = 4.552 \times 10^{-5}$ liters per second

2. Human Breathing:

   • At rest, a human might breathe around 285 cubic inches per hour.
     • Conversion: $285 \times 4.552 \times 10^{-6} = 0.00129852$ liters per second

3. Engine Oil Leak:

   • A small engine oil leak could lose about 100 cubic inches per hour.
     • Conversion: $100 \times 4.552 \times 10^{-6} = 4.552 \times 10^{-4}$ liters per second

By using the conversion factor $4.552 \times 10^{-6}$, you can quickly convert any amount of cubic inches per hour to liters per second for various applications.