Cubic meters per second to Gallons per minute conversion

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

Converting from cubic meters per second (m³/s) to gallons per minute (GPM) involves a few steps. Here's the process:

1. Understand the Conversion Factors:

   • There are 1,000 liters in 1 cubic meter.
   • There are approximately 3.78541 liters in a U.S. gallon.

2. Conversions to Intermediate Units:

   • First, convert cubic meters to liters.
   • Then, convert liters to gallons.
   • Finally, convert the resulting gallons per second to gallons per minute.

Here's the calculation for 1 cubic meter per second:

1. Start with the given value in cubic meters per second: $1 \, \text{m³/s}$

2. Convert cubic meters to liters: $1 \, \text{m³} = 1,000 \, \text{liters}$ So: $1 \, \text{m³/s} = 1,000 \, \text{liters/second}$

3. Convert liters to gallons: $1 \, \text{liter} \approx 0.264172 \, \text{gallons}$ So: $1,000 \, \text{liters/second} \times 0.264172 \, \text{gallons/liter} = 264.172 \, \text{gallons/second}$

4. Convert gallons per second to gallons per minute: $1 \, \text{minute} = 60 \, \text{seconds}$ So: $264.172 \, \text{gallons/second} \times 60 \, \text{seconds/minute} = 15,850.32 \, \text{GPM}$

Therefore, 1 cubic meter per second is equivalent to approximately 15,850.32 gallons per minute (GPM).

Real-World Examples

1. Small Stream Flow:

   • If a small stream has a flow rate of 0.1 m³/s: $0.1 \, \text{m³/s} = 1,585.032 \, \text{GPM}$

2. Fire Hydrant Flow Rate:

   • A typical fire hydrant might have a flow rate of around 0.05 m³/s: $0.05 \, \text{m³/s} = 792.516 \, \text{GPM}$

3. Water Treatment Plant:

   • A small water treatment plant might process water at a rate of 2 m³/s: $2 \, \text{m³/s} = 31,700.64 \, \text{GPM}$

4. Major River Flow:

   • A major river might have a flow rate of 500 m³/s: $500 \, \text{m³/s} = 7,925,160 \, \text{GPM}$

5. Irrigation System:

   • A large-scale agricultural irrigation system might use 0.5 m³/s: $0.5 \, \text{m³/s} = 7,925.16 \, \text{GPM}$

These examples help illustrate how various flow rates in cubic meters per second can be substantial when converted to gallons per minute, which is a more familiar unit in some contexts (especially in the U.S.).