Gallons per minute to Cubic meters per hour conversion

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

To convert gallons per minute (GPM) to cubic meters per hour (m³/h), you need to use the conversion factors between these units.

Here’s a step-by-step process:

1. Convert gallons to cubic meters:

   • 1 US gallon is equal to approximately 0.00378541 cubic meters.

2. Convert minutes to hours:

   • 1 minute is equal to 1/60 hours.

Given the conversion factors, you can convert 1 GPM to m³/h as follows:

$1 \text{ GPM} = 1 \text{ gallon per minute} \times 0.00378541 \text{ cubic meters per gallon} \times 60 \text{ minutes per hour}$

$1 \text{ GPM} = 1 \times 0.00378541 \times 60$

$1 \text{ GPM} = 0.2271246 \text{ m³/h}$

So, 1 GPM is approximately 0.2271 m³/h.

Real-World Examples for Other Quantities of GPM

To illustrate other quantities, you can use the same conversion process:

1. 5 GPM to m³/h: $5 \text{ GPM} = 5 \times 0.2271 \text{ m³/h} = 1.1355 \text{ m³/h}$

2. 10 GPM to m³/h: $10 \text{ GPM} = 10 \times 0.2271 \text{ m³/h} = 2.271 \text{ m³/h}$

3. 50 GPM to m³/h: $50 \text{ GPM} = 50 \times 0.2271 \text{ m³/h} = 11.355 \text{ m³/h}$

4. 100 GPM to m³/h: $100 \text{ GPM} = 100 \times 0.2271 \text{ m³/h} = 22.71 \text{ m³/h}$

Real-World Context

• Residential Water Use: A typical showerhead in the US uses about 2.5 GPM. This translates to approximately 0.568 m³/h. This conversion can be useful for designing water supply systems or estimating water consumption in a household.

• Irrigation Systems: Irrigation pumps might operate at around 30 GPM, which equals roughly 6.813 m³/h. This is valuable in agricultural planning to understand the volume of water needed for crops over an extended period.

• Industrial Water Use: Large cooling systems or industrial processes might use 2000 GPM, which would be approximately 454.2 m³/h. This type of conversion is crucial in engineering calculations and environmental assessments.

Understanding how to switch between these units of measure is paramount in fields that require fluid dynamics calculations, including engineering, agriculture, and environmental science.