Litres per hour to Cubic inches per minute conversion

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

To convert from liters per hour (L/hr) to cubic inches per minute (in³/min), follow these steps:

1. Convert liters to cubic inches:

   • 1 liter is equivalent to 61.0237 cubic inches.

2. Convert hours to minutes:

   • 1 hour is equivalent to 60 minutes.

Given these conversions, you can derive the formula for converting liters per hour to cubic inches per minute as follows:

$\text{Cubic inches per minute (in³/min)} = \text{Liters per hour (L/hr)} \times \frac{61.0237 \text{ in³}}{1 \text{ L}} \times \frac{1 \text{ hr}}{60 \text{ min}}$

For 1 liter per hour:

$1 \text{ L/hr} = 1 \times \frac{61.0237}{60} \text{ in³/min}$ $\approx 1.017 \text{ in³/min}$

Thus, 1 liter per hour is approximately 1.017 cubic inches per minute.

Real-World Examples for Other Quantities of Litres per Hour

1. Water Flow in Household Plumbing:

   • An average showerhead might have a flow rate of about 9.5 liters per minute.
   • Converting to liters per hour: $9.5 \text{ L/min} \times 60 \text{ min/hr} = 570 \text{ L/hr}$

2. Car Fuel Consumption:

   • If a car consumes 3.8 liters of fuel per hour at a constant speed.
   • Converting to cubic inches per minute using the same conversion factor: $3.8 \text{ L/hr} \times 1.017 \text{ in³/min per L/hr} \approx 3.9 \text{ in³/min}$

3. Aquarium Filter:

   • A small aquarium filter might have a flow rate of 500 liters per hour.
   • Converting to cubic inches per minute: $500 \text{ L/hr} \times 1.017 \text{ in³/min per L/hr} \approx 508.5 \text{ in³/min}$

4. Irrigation Systems:

   • A drip irrigation system might dispense water at a rate of 2 liters per hour per emitter.
   • Converting to cubic inches per minute: $2 \text{ L/hr} \times 1.017 \text{ in³/min per L/hr} \approx 2.034 \text{ in³/min}$

These real-world examples illustrate how different applications use different flow rates and how those flow rates can be converted to a consistent unit such as cubic inches per minute for standardization or comparison.