Litres per hour to Cubic feet per second conversion

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

To convert from liters per hour (L/h) to cubic feet per second (ft³/s), you need the following conversion factors:

1 liter (L) = 0.0353147 cubic feet (ft³) 1 hour (h) = 3600 seconds (s)

Using these conversion factors, you can convert 1 liter per hour to cubic feet per second as follows:

1. Convert liters to cubic feet: $1 \text{ L} \times 0.0353147 \text{ ft}³/\text{L} = 0.0353147 \text{ ft}³$

2. Convert hours to seconds: $1 \text{ h} = 3600 \text{ s}$

3. Combine the conversions: $1 \text{ L/h} = \frac{0.0353147 \text{ ft}³}{3600 \text{ s}} \approx 9.81 \times 10^{-6} \text{ ft}³/\text{s}$

So, 1 liter per hour is approximately $9.81 \times 10^{-6}$ cubic feet per second.

Real-World Examples with Other Quantities

Here's how you can contextualize different quantities of liters per hour (L/h) with their equivalent in cubic feet per second (ft³/s):

1. Household Tap Water Flow

   • Typical flow rate: 600 L/h
   • Conversion: $600 \text{ L/h} \times 9.81 \times 10^{-6} \text{ ft}³/\text{L/h} = 0.00589 \text{ ft}³/s$

2. Small Fish Tank Filter

   • Typical flow rate: 900 L/h
   • Conversion: $900 \text{ L/h} \times 9.81 \times 10^{-6} \text{ ft}³/\text{L/h} = 0.00883 \text{ ft}³/s$

3. Industrial Cooling System

   • Larger system flow rate: 150,000 L/h
   • Conversion: $150,000 \text{ L/h} \times 9.81 \times 10^{-6} \text{ ft}³/\text{L/h} = 1.47 \text{ ft}³/s$

4. Fire Hydrant Flow Rate

   • Fire hydrant flow: 3,600 L/min (multiply by 60 to convert to L/h)
   • Flow in L/h: $3,600 \text{ L/min} \times 60 \text{ min/h} = 216,000 \text{ L/h}$
   • Conversion: $216,000 \text{ L/h} \times 9.81 \times 10^{-6} \text{ ft}³/\text{L/h} = 2.12 \text{ ft}³/s$

These examples illustrate different scenarios in which flow rates are measured and converted from liters per hour to cubic feet per second. This type of conversion is useful in engineering, science, and other fields requiring precise flow rate measurements.