Litres per second to Cubic inches per hour conversion

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

To convert from litres per second (L/s) to cubic inches per hour (in³/h), follow these steps:

1. Convert Litres to Cubic Inches:

   • 1 litre is equal to approximately 61.0237 cubic inches (in³).

2. Convert Seconds to Hours:

   • There are $60$ seconds in a minute and $60$ minutes in an hour, so there are $60 \times 60 = 3600$ seconds in an hour.

3. Multiply to Find the Volume Flow Rate:

   Given:

   • 1 L/s to cubic inches per hour.

   Conversion: $1 \text{ L/s} = 1 \times 61.0237 \text{ in}^3/\text{s}$

   Since there are 3600 seconds in an hour, multiply by 3600: $1 \text{ L/s} = 61.0237 \times 3600 \text{ in}^3/\text{h}$

   Calculate the final value: $1 \text{ L/s} = 219,684 \text{ in}^3/\text{h}$

Real-World Examples of Converting Other Quantities of Litres per Second:

1. Fire Fighting Water Flow:

   • Fire hoses can discharge water at rates around 10 L/s.
   • Conversion: 10 L/s to cubic inches per hour: $10 \text{ L/s} = 10 \times 219,684 \text{ in}^3/\text{h} = 2,196,840 \text{ in}^3/\text{h}$

2. Water Supply for a Small Community:

   • A small water treatment plant might provide water at a rate of 50 L/s.
   • Conversion: 50 L/s to cubic inches per hour: $50 \text{ L/s} = 50 \times 219,684 \text{ in}^3/\text{h} = 10,984,200 \text{ in}^3/\text{h}$

3. Hydropower Generation:

   • A small hydropower turbine might handle 100 L/s of water flow.
   • Conversion: 100 L/s to cubic inches per hour: $100 \text{ L/s} = 100 \times 219,684 \text{ in}^3/\text{h} = 21,968,400 \text{ in}^3/\text{h}$

4. Irrigation System:

   • A typical agricultural irrigation system might have a flow rate of 5 L/s.
   • Conversion: 5 L/s to cubic inches per hour: $5 \text{ L/s} = 5 \times 219,684 \text{ in}^3/\text{h} = 1,098,420 \text{ in}^3/\text{h}$

These examples illustrate how converting rates of volume flow can help in understanding and planning for different real-world applications.