Cubic meters per hour to Gallons per minute conversion

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

To convert cubic meters per hour (m³/h) to gallons per minute (GPM), you need to use the following conversion factors:

1. 1 cubic meter (m³) is equivalent to approximately 264.172 gallons.
2. 1 hour is equivalent to 60 minutes.

Using these two pieces of information, you can convert cubic meters per hour to gallons per minute with the following steps:

1. Convert cubic meters to gallons: 1 m³ = 264.172 gallons

2. Convert hours to minutes: 1 hour = 60 minutes

To convert 1 cubic meter per hour to gallons per minute: $\text{Gallons per Minute (GPM)} = \frac{\text{Cubic Meters per Hour} \times 264.172}{60}$

$\text{GPM} = \frac{1 \, \text{m}^3/\text{h} \times 264.172 \, \text{gallons}/\text{m}^3}{60 \, \text{minutes}/\text{hour}}$

$\text{GPM} = \frac{264.172}{60}$

$\text{GPM} \approx 4.403 \, \text{GPM}$

Therefore, 1 cubic meter per hour is approximately 4.403 gallons per minute.

Real-World Examples for Other Quantities

1. 5 Cubic meters per hour: $\text{GPM} = \frac{5 \, \text{m}^3/\text{h} \times 264.172 \, \text{gallons}/\text{m}^3}{60 \, \text{minutes}/\text{hour}}$

   $\text{GPM} = \frac{1320.86}{60}$

   $\text{GPM} \approx 22.015 \, \text{GPM}$

2. 10 Cubic meters per hour: $\text{GPM} = \frac{10 \, \text{m}^3/\text{h} \times 264.172 \, \text{gallons}/\text{m}^3}{60 \, \text{minutes}/\text{hour}}$

   $\text{GPM} = \frac{2641.72}{60}$

   $\text{GPM} \approx 44.034 \, \text{GPM}$

3. 50 Cubic meters per hour: $\text{GPM} = \frac{50 \, \text{m}^3/\text{h} \times 264.172 \, \text{gallons}/\text{m}^3}{60 \, \text{minutes}/\text{hour}}$

   $\text{GPM} = \frac{13208.6}{60}$

   $\text{GPM} \approx 220.143 \, \text{GPM}$

4. 100 Cubic meters per hour: $\text{GPM} = \frac{100 \, \text{m}^3/\text{h} \times 264.172 \, \text{gallons}/\text{m}^3}{60 \, \text{minutes}/\text{hour}}$

   $\text{GPM} = \frac{26417.2}{60}$

   $\text{GPM} \approx 440.286 \, \text{GPM}$

Real-World Applications

1. Water Treatment Plants: For a water treatment plant that processes 50 cubic meters per hour, it would have to deal with approximately 220.143 gallons per minute of flow rate.
2. Irrigation Systems: An agricultural irrigation system delivering 10 cubic meters per hour is supplying approximately 44.034 gallons per minute to the fields.
3. Aquarium Systems: A large aquarium system requiring a filtration rate of 5 cubic meters per hour would need a system capable of handling approximately 22.015 gallons per minute.

By understanding these conversions, engineers and professionals can design and manage systems that are functional and efficient in both metric and imperial units.