Gallons per second to Cubic Millimeters per second conversion

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

To convert 1 gallon per second (gal/s) to cubic millimeters per second (mm³/s), you need to follow a series of unit conversion steps.

1 US gallon is defined as 231 cubic inches. First, convert gallons to cubic inches, then convert cubic inches to cubic centimeters, and finally convert cubic centimeters to cubic millimeters.

Here's the step-by-step process:

1. Convert gallons to cubic inches: $1 \text{ gal} = 231 \text{ in}^3$

2. Convert cubic inches to cubic centimeters (since 1 inch = 2.54 cm): $1 \text{ in}^3 = (2.54 \text{ cm})^3 = 16.387064 \text{ cm}^3$

3. Convert cubic centimeters to cubic millimeters (since 1 cm = 10 mm): $1 \text{ cm}^3 = (10 \text{ mm})^3 = 1000 \text{ mm}^3$

So, putting it all together:

$1 \text{ gal/s} = 231 \text{ in}^3 \text{/s} = 231 \times 16.387064 \text{ cm}^3 \text{/s} = 3785.411784 \text{ cm}^3 \text{/s} = 3785.411784 \times 1000 \text{ mm}^3 \text{/s} = 3,785,411.784 \text{ mm}^3 \text{/s}$

So, 1 gallon per second is equal to 3,785,411.784 cubic millimeters per second.

Real-world Examples of Gallons Per Second

• Fire Hydrant: A typical fire hydrant can flow between 500 and 1,500 gallons per minute (GPM). Converted to gallons per second, this is about 8.33 to 25 gal/s.
• Irrigation System: Large agricultural irrigation systems might use water at a rate of 3,000 gallons per hour. Converted, this is 0.833 gal/s.
• Waterfall Flow Rate: An impressive natural waterfall might have a flow rate of 100,000 gallons per minute. This converts to about 1,667 gal/s.

Understanding and converting these units will give you a better comprehension of various water flow situations across different contexts.