Cubic meters per minute to Litres per hour conversion

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

To convert cubic meters per minute (m³/min) to liters per hour (L/hr), you need to follow these steps:

1. Understand the units involved:

   • 1 cubic meter (m³) is equivalent to 1000 liters (L).
   • 1 minute has 60 seconds, and 1 hour has 60 minutes, therefore, 1 hour is 60 minutes.

2. Find the Conversion Factor:

   • Since 1 m³ = 1000 L, then: $1 \text{ m³/min} = 1000 \text{ L/min}$
   • As 1 hour has 60 minutes, converting L/min to L/hr involves multiplying by 60: $1000 \text{ L/min} \times 60 \text{ min/hr} = 60,000 \text{ L/hr}$

So, 1 cubic meter per minute is equivalent to 60,000 liters per hour.

Real-world Examples for Other Quantities of Cubic Meters per Minute

Let's convert other quantities of cubic meters per minute to liters per hour using the same factor (multiplying by 60,000).

1. 2 cubic meters per minute: $2 \text{ m³/min} = 2 \times 60,000 \text{ L/hr} = 120,000 \text{ L/hr}$ Example: This could represent the flow rate of water from a large industrial pump, for instance, used in supplying water to a factory.

2. 0.5 cubic meters per minute: $0.5 \text{ m³/min} = 0.5 \times 60,000 \text{ L/hr} = 30,000 \text{ L/hr}$ Example: This flow rate might be seen in a municipal water supply system to a small residential area.

3. 10 cubic meters per minute: $10 \text{ m³/min} = 10 \times 60,000 \text{ L/hr} = 600,000 \text{ L/hr}$ Example: This could be the capacity of a large cooling tower in a power plant, where significant amounts of water are circulated for cooling purposes.

Calculation Summary

• Multiply cubic meters per minute by 1000 to convert to liters per minute.
• Then multiply by 60 to convert from liters per minute to liters per hour.

Let's encapsulate this in a formula for any value (X) of cubic meters per minute: $X \text{ m³/min} \times 1000 \text{ L/m³} \times 60 \text{ min/hr} = X \times 60,000 \text{ L/hr}$

This simple multiplication ensures accurate conversion between these two units of volume flow rate.