Cubic meters per minute to Gallons per hour conversion

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

Sure! To convert cubic meters per minute (m³/min) to gallons per hour (gal/hr), you need to understand the conversion factors between these two units of measurement.

1. Conversion factors:

   • 1 cubic meter (m³) is equal to approximately 264.172 gallons.
   • There are 60 minutes in an hour.

2. Conversion formula:

   • Since 1 m³/min indicates the volume flow rate, this means every minute, 1 cubic meter is flowing.
   • To find out how many gallons flow in an hour, multiply the cubic meters per minute by the number of gallons per cubic meter, and then by the number of minutes in an hour:

$\text{Gallons per hour} = \text{Cubic meters per minute} \times \text{Gallons per cubic meter} \times \text{Minutes per hour}$

Putting in the values:

$1 \, \text{m³/min} = 1 \times 264.172 \, \text{gallons/m³} \times 60 \, \text{minutes/hour}$

$1 \, \text{m³/min} = 264.172 \times 60 \, \text{gal/hr}$

$1 \, \text{m³/min} = 15,850.32 \, \text{gal/hr}$

So, 1 cubic meter per minute is equivalent to 15,850.32 gallons per hour.

Real-World Examples for Other Quantities of Cubic Meters per Minute:

1. Small Fish Pond Pump:
   • A small pond pump might have a flow rate of about 0.02 m³/min (20 liters per minute).
   • Converting to gallons per hour:

$0.02 \, \text{m³/min} = 0.02 \times 264.172 \times 60 \, \text{gal/hr} = 317.0064 \, \text{gal/hr}$

2. Residential Swimming Pool Pump:
   • A typical swimming pool pump might have a flow rate of about 0.5 m³/min.
   • Converting to gallons per hour:

$0.5 \, \text{m³/min} = 0.5 \times 264.172 \times 60 \, \text{gal/hr} = 7,925.16 \, \text{gal/hr}$

3. Industrial Water Pump:
   • An industrial water pump can have a flow rate of 5 m³/min.
   • Converting to gallons per hour:

$5 \, \text{m³/min} = 5 \times 264.172 \times 60 \, \text{gal/hr} = 79,251.6 \, \text{gal/hr}$

4. Firefighting Hose:
   • A large firefighting hose might discharge water at a rate of 10 m³/min.
   • Converting it to gallons per hour:

$10 \, \text{m³/min} = 10 \times 264.172 \times 60 \, \text{gal/hr} = 158,503.2 \, \text{gal/hr}$

By understanding the conversion process and applying it, you can translate any cubic meters per minute flow rate into gallons per hour, making it easier to comprehend and use in different real-world contexts.