Gallons per minute to Cubic meters per second conversion

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

To convert gallons per minute (GPM) to cubic meters per second (m³/s), you need to know the conversion factors between these units. Here's a step-by-step guide:

1. Conversion factors:

   • 1 US gallon = 3.78541 liters
   • 1 liter = 0.001 cubic meters (m³)
   • 1 minute = 60 seconds

2. Convert gallons to cubic meters:

   • Since 1 gallon = 3.78541 liters, converting it to cubic meters: $1 \text{ gallon} = 3.78541 \times 0.001 \text{ m}³ = 0.00378541 \text{ m}³$

3. Convert minutes to seconds:

   • 1 minute = 60 seconds

4. Combining the conversion factors:

   • First, we convert gallons to cubic meters.
   • Second, we account for the time conversion from minutes to seconds.

So, for 1 gallon per minute (GPM): $1 \text{ GPM} = 0.00378541 \text{ m}³ \text{ per } \text{ minute}$

Since 1 minute = 60 seconds, divide by 60: $1 \text{ GPM} = \frac{0.00378541 \text{ m}³}{60 \text{ s}}$ $1 \text{ GPM} = 6.309017 \times 10^{-5} \text{ m}³/\text{s}$

Therefore, 1 gallon per minute is approximately $6.309 \times 10^{-5} \text{ m}³/\text{s}$.

Real World Examples for Various Quantities of GPM

1. Standard Shower Head:

   • A typical shower head uses about 2.5 GPM.
   • Conversion to m³/s: $2.5 \times 6.309 \times 10^{-5} \text{ m}³/\text{s} \approx 1.577 \times 10^{-4} \text{ m}³/\text{s}$

2. Garden Hose Flow Rate:

   • A garden hose usually flows at about 10 GPM.
   • Conversion to m³/s: $10 \times 6.309 \times 10^{-5} \text{ m}³/\text{s} = 6.309 \times 10^{-4} \text{ m}³/\text{s}$

3. Fire Hose:

   • A fire hose can flow at around 150 GPM.
   • Conversion to m³/s: $150 \times 6.309 \times 10^{-5} \text{ m}³/\text{s} = 9.4635 \times 10^{-3} \text{ m}³/\text{s}$

4. Residential Water Pump:

   • A residential water pump might flow at 20 GPM.
   • Conversion to m³/s: $20 \times 6.309 \times 10^{-5} \text{ m}³/\text{s} = 1.2618 \times 10^{-3} \text{ m}³/\text{s}$

Understanding how to convert these values helps in various engineering and technical fields where different units of flow rates might be used interchangeably.