Gallons per minute to Cubic Millimeters per second conversion

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

To convert gallons per minute (GPM) to cubic millimeters per second (mm³/s), you need to follow a two-step conversion process:

1. Convert gallons to cubic millimeters.
2. Convert minutes to seconds.

Let's break it down:

1. Convert gallons to cubic millimeters:

   • 1 U.S. gallon is equal to 3.78541 liters.
   • 1 liter is equal to 1,000,000 cubic millimeters (since 1 liter = 1,000 cubic centimeters or 1,000,000 cubic millimeters).

   Therefore,

   $1 \text{ gallon} = 3.78541 \text{ liters} = 3.78541 \times 1,000,000 \text{ mm}^3$ $1 \text{ gallon} = 3,785,410 \text{ mm}^3$

2. Convert minutes to seconds:

   • 1 minute is equal to 60 seconds.

Therefore, if you have a flow rate of 1 gallon per minute:

$1 \text{ GPM} = 3,785,410 \text{ mm}^3 \text{ per minute}$

To convert this to mm³/s, divide by 60 (since there are 60 seconds in one minute):

$\text{Flow rate in mm}^3/\text{s} = \frac{3,785,410 \text{ mm}^3}{60 \text{ s}}$ $\text{Flow rate in mm}^3/\text{s} \approx 63,090.1667 \text{ mm}^3/\text{s}$

So, 1 GPM is approximately 63,090.17 mm³/s.

Real-world Examples for GPM Conversions

1. Shower Heads:

   • Typical modern, water-saving shower heads operate at around 2 GPM. This would be approximately 126,180.33 mm³/s.

2. Garden Hoses:

   • A typical garden hose can deliver about 5 GPM. This would be approximately 315,450.83 mm³/s.

3. Fire Hoses:

   • A fire hose can have a flow rate of around 150 GPM. This would be approximately 9,463,525.00 mm³/s.

4. Aquarium Filters:

   • Small home aquarium filters might have a flow rate of around 10 GPH (gallons per hour), which translates to approximately 0.167 GPM or 10,558.36 mm³/s.

Each of these examples shows how the conversion can be applied to different contexts where flow rate measurements are essential.