Litres per minute to Cubic feet per second conversion

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

Certainly! Converting from Litres per minute (L/min) to Cubic feet per second (ft³/s) involves a two-step process:

1. Convert litres to cubic meters, since 1 litre is equal to 0.001 cubic meters.
2. Convert cubic meters to cubic feet, since 1 cubic meter is equal to approximately 35.3147 cubic feet.
3. Convert minutes to seconds, since 1 minute is equal to 60 seconds.

Let's perform the conversion for 1 litre per minute:

Step-by-step Conversion Process

1 L/min = 1 litre per 60 seconds = (1 litre / 60 seconds) * (1 cubic meter / 1000 litres) * (35.3147 cubic feet / 1 cubic meter)

Step 1: Convert litres to cubic meters: 1 L = 0.001 m³

So, for 1 L/min: $1 L/min = \frac{1 \text{ litre} \times 0.001 \text{ m}^3}{60 \text{ seconds}}$

Step 2: Convert cubic meters to cubic feet: $\text{Cubic feet} = 0.001 \text{ m}^3 \times 35.3147 \text{ ft}^3/\text{m}^3$

So, we have: $1 L/min = \frac{1 \times 0.001 \times 35.3147 \text{ ft}^3}{60 \text{ seconds}}$

Step 3: Final calculation: $1 L/min \approx \frac{0.0353147 \text{ ft}^3}{60 \text{ seconds}}$ $1 L/min \approx 0.0005886 \text{ ft}^3/\text{s}$

Therefore, 1 L/min ≈ 0.0005886 ft³/s.

Real-World Examples

1. 10 Litres per minute (L/min): $10 L/min = 10 \times 0.0005886 \text{ ft}^3/\text{s}$ $10 L/min ≈ 0.005886 \text{ ft}^3/\text{s}$

2. 50 Litres per minute (L/min): $50 L/min = 50 \times 0.0005886 \text{ ft}^3/\text{s}$ $50 L/min ≈ 0.02943 \text{ ft}^3/\text{s}$

3. 100 Litres per minute (L/min): $100 L/min = 100 \times 0.0005886 \text{ ft}^3/\text{s}$ $100 L/min ≈ 0.05886 \text{ ft}^3/\text{s}$

4. 250 Litres per minute (L/min): $250 L/min = 250 \times 0.0005886 \text{ ft}^3/\text{s}$ $250 L/min ≈ 0.14715 \text{ ft}^3/\text{s}$

By understanding these conversions, you can easily translate between these different units for applications like engineering, fluid dynamics, and various industrial processes.

Use Cases

• Residential Plumbing: Understanding flow rates like 10 L/min for a kitchen tap can help in comparing against flow rates in cubic feet needed by certain appliances or fittings.
• Industrial Process: A process requiring 250 L/min can now be easily understood in ft³/s, which is useful in environments where both metric and imperial units are used.
• Irrigation Systems: Designing irrigation systems with multiple units will benefit from understanding both metrics for global applicability.

By mastering these conversions, you become adept at interpreting and manipulating fluid flow information across a variety of contexts.