Kilolitres per hour to Cubic feet per second conversion

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

To convert from kilolitres per hour (kL/hr) to cubic feet per second (ft³/s), you need to use conversion factors.

Here's how you do it step-by-step for 1 kL/hr:

1. Understand the units:

   • 1 kilolitre (kL) is equal to 1,000 litres (L).
   • 1 litre is equal to 0.001 cubic meters (m³).
   • 1 cubic meter is equal to approximately 35.3147 cubic feet (ft³).

2. Convert kL/hr to L/hr:

   • Since 1 kL = 1,000 L, 1 kL/hr is the same as saying 1,000 L/hr.

3. Convert L/hr to m³/hr:

   • Since 1 L = 0.001 m³, 1,000 L/hr is equal to 1 m³/hr.

4. Convert m³/hr to m³/s:

   • There are 3,600 seconds in an hour.
   • Therefore, 1 m³/hr is equal to $\frac{1}{3,600}$ m³/s.

5. Convert m³/s to ft³/s:

   • Since 1 m³ is approximately 35.3147 ft³,
   • $\frac{1 m³}{3,600 s}$ is equal to $\frac{35.3147 ft³}{3,600 s}$.

So, to find the equivalent cubic feet per second (ft³/s), follow through these calculations:

$1 kL/hr = 1,000 L/hr$ $1,000 L/hr = 1 m³/hr$ $1 m³/hr = \frac{1}{3,600} \text{ m³/s} \approx 0.00027778 \text{ m³/s}$ $0.00027778 \text{ m³/s} \times 35.3147 \text{ ft³/m³} \approx 0.00981 \text{ ft³/s}$

So, 1 kL/hr is approximately equal to 0.00981 ft³/s.

Real-World Examples for Other Quantities of Kilolitres per Hour

1. Residential Water Usage:

   • A small household might have a water usage of around 1 kL/hr.

2. Municipal Water Supply:

   • A small town might have a water supply of approximately 100 kL/hr.

3. Industrial Plant Usage:

   • A medium-sized manufacturing plant might use around 500 kL/hr.

4. Agricultural Irrigation:

   • A large agricultural irrigation system might use around 1,000 kL/hr during peak watering times.

To convert these to cubic feet per second:

• For 100 kL/hr:

  • $100 kL/hr \approx 100 \times 0.00981 \text{ ft³/s} = 0.981 \text{ ft³/s}$

• For 500 kL/hr:

  • $500 kL/hr \approx 500 \times 0.00981 \text{ ft³/s} = 4.905 \text{ ft³/s}$

• For 1,000 kL/hr:

  • $1,000 kL/hr \approx 1,000 \times 0.00981 \text{ ft³/s} = 9.81 \text{ ft³/s}$

I hope that provides a clear understanding of how to make these conversions and contextualize them with real-world examples!