Cubic feet per second to Cubic Millimeters per second conversion

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

To convert cubic feet per second (CFS) to cubic millimeters per second (mm³/s), follow these steps:

1. Understand the Units:

   • 1 foot = 304.8 millimeters
   • A cubic foot, therefore, is $304.8$ millimeters cubed.

2. Cubic Calculation:

   • Cubing 304.8 millimeters per side of a cubic foot gives: $1 \, \text{ft}^3 = (304.8 \, \text{mm})^3$ $1 \, \text{ft}^3 = 304.8^3 \, \text{mm}^3$

3. Perform the Calculation: $1 \, \text{ft}^3 = 304.8 \times 304.8 \times 304.8 \, \text{mm}^3 = 28,316,846.592 \, \text{mm}^3$

4. Volume Flow Rate Conversion:

   • Since this is a rate per second, 1 CFS will be: $1 \, \text{CFS} = 28,316,846.592 \, \text{mm}^3/\text{s}$

Real World Examples of Cubic Feet per Second (CFS):

1. River Discharge:

   • A moderate-sized river might have a flow rate of 1,000 CFS. $1,000 \, \text{CFS} = 1,000 \times 28,316,846.592 \, \text{mm}^3/\text{s} = 28,316,846,592 \, \text{mm}^3/\text{s}$

2. Fire Hydrants:

   • Fire hydrants can typically supply up to about 1.5 CFS during operation. $1.5 \, \text{CFS} = 1.5 \times 28,316,846.592 \, \text{mm}^3/\text{s} = 42,475,269.888 \, \text{mm}^3/\text{s}$

3. Industrial Pumping Systems:

   • An industrial water pumping system might have a capacity of 500 CFS, used for irrigation or cooling. $500 \, \text{CFS} = 500 \times 28,316,846.592 \, \text{mm}^3/\text{s} = 14,158,423,296 \, \text{mm}^3/\text{s}$

4. Wastewater Treatment Plants:

   • Large municipal wastewater treatment plants can handle flows of 300 CFS. $300 \, \text{CFS} = 300 \times 28,316,846.592 \, \text{mm}^3/\text{s} = 8,495,053,977.6 \, \text{mm}^3/\text{s}$

These examples illustrate the typical contexts in which cubic feet per second measurements are used, showcasing the diversity in scale and application from natural water systems to engineered solutions.