Litres per hour to Cubic meters per minute conversion

How to convert litres per hour to cubic meters per minute?

To convert from litres per hour (L/h) to cubic meters per minute (m³/min), you need to understand the conversion factors between the units involved:

1. Litres to Cubic Meters:

   • 1 cubic meter (m³) = 1,000 litres (L)

2. Hours to Minutes:

   • 1 hour = 60 minutes

Given these conversion factors, you can set up the conversion:

1. From litres to cubic meters: Since 1 litre is $\frac{1}{1,000}$ cubic meters:

   • $1 \, \text{L/h} = \frac{1 \, \text{litre}}{1 \, \text{hour}} \times \frac{1 \, \text{m³}}{1,000 \, \text{L}} = \frac{1}{1,000} \, \text{m³/h}$

2. From hours to minutes: Since 1 hour is 60 minutes:

   • $\frac{1}{1,000} \, \text{m³/h} = \frac{1}{1,000} \, \text{m³} \times \frac{1 \, \text{hour}}{60 \, \text{minutes}} = \frac{1 \, \text{m³}}{1,000 \times 60 \, \text{minutes}} = \frac{1}{60,000} \, \text{m³/min}$

So, $1 \, \text{L/h} = \frac{1}{60,000} \, \text{m³/min}$.

Real-World Examples

Let's convert some other quantities of L/h to m³/min:

1. Example: 100 L/h

   • $100 \, \text{L/h} = 100 \times \frac{1}{60,000} \, \text{m³/min} = \frac{100}{60,000} \, \text{m³/min} = \frac{1}{600} \, \text{m³/min} \approx 0.00167 \, \text{m³/min}$

2. Example: 1,200 L/h

   • $1,200 \, \text{L/h} = 1,200 \times \frac{1}{60,000} \, \text{m³/min} = \frac{1,200}{60,000} \, \text{m³/min} = \frac{12}{600} \, \text{m³/min} = \frac{1}{50} \, \text{m³/min} = 0.02 \, \text{m³/min}$

3. Example: 3,600 L/h

   • $3,600 \, \text{L/h} = 3,600 \times \frac{1}{60,000} \, \text{m³/min} = \frac{3,600}{60,000} \, \text{m³/min} = \frac{36}{600} \, \text{m³/min} = 0.06 \, \text{m³/min}$

Real-World Applications

• Household Water Supply: A common residential water supply might be at a rate of around 1,200 L/h (0.02 m³/min), sufficient for regular daily activities like cooking, cleaning, and bathing.

• Agricultural irrigation systems: Large irrigation systems might require water to be delivered at a rate of several thousand litres per hour. For example, 3,600 L/h (0.06 m³/min) could be sufficient to irrigate larger fields.

• Aquarium Filtration: A medium-sized aquarium filter might operate at around 500 L/h (≈0.0083 m³/min) to maintain water quality and clarity.

By understanding these conversions and applying them to real-world examples, you can better grasp the practical implications of different flow rates in various contexts.