Litres per second to Cubic yards per hour conversion

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

Certainly! Let's break down the process of converting 1 litre per second (L/s) to cubic yards per hour (yd³/hr).

First, we need to understand the basic conversions between units:

1. Litres to cubic meters: $1 \text{ litre} = 0.001 \text{ cubic meters (m³)}$

2. Seconds to hours: $1 \text{ second} = \frac{1}{3600} \text{ hours}$

3. Cubic meters to cubic yards: $1 \text{ cubic meter (m³)} = 1.30795 \text{ cubic yards (yd³)}$

Now we can perform the conversion step-by-step:

1. Convert litres per second to cubic meters per second: $1 \text{ L/s} = 0.001 \text{ m³/s}$

2. Convert cubic meters per second to cubic meters per hour: $0.001 \text{ m³/s} \times 3600 \text{ s/hr} = 3.6 \text{ m³/hr}$

3. Convert cubic meters per hour to cubic yards per hour: $3.6 \text{ m³/hr} \times 1.30795 \text{ yd³/m³} = 4.70862 \text{ yd³/hr}$

So, 1 litre per second is equal to approximately 4.70862 cubic yards per hour.

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

1. Water Flow in a River: A small river might have a flow rate of about 10,000 litres per second (L/s).

   • Converted: $10,000 \text{ L/s} = 47,086.2 \text{ yd³/hr}$

2. Residential Plumbing: A typical household tap usually has a flow rate of about 6 litres per minute, which is approximately 0.1 litres per second (L/s).

   • Converted: $0.1 \text{ L/s} = 0.470862 \text{ yd³/hr}$

3. Fire Hydrant: A fire hydrant might have a flow rate of about 2,500 litres per minute, which is approximately 41.67 litres per second (L/s).

   • Converted: $41.67 \text{ L/s} = 196.17 \text{ yd³/hr}$

4. Industrial Cooling Systems: Large cooling systems for industrial machinery might use up to 500 litres per second (L/s).

   • Converted: $500 \text{ L/s} = 2,354.31 \text{ yd³/hr}$

These real-world examples help provide context to the flow rate in litres per second and their conversions into cubic yards per hour for various applications.