Cubic Millimeters per second to Cubic feet per hour conversion

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

To convert from cubic millimeters per second (mm³/s) to cubic feet per hour (ft³/hr), you will need to use the appropriate unit conversion factors. Here's a step-by-step process for the conversion:

1. Understand the units:

   • 1 cubic meter = 10⁹ cubic millimeters.
   • 1 cubic meter = 35.3147 cubic feet.
   • 1 hour = 3600 seconds.

2. Set up the conversion factors:

   • To convert from mm³/s to m³/s: $1 \text{ mm}³/\text{s} = 1 \times 10^{-9} \text{ m}³/\text{s}$.
   • To convert from m³/s to ft³/s: $1 \text{ m}³/\text{s} = 35.3147 \text{ ft}³/\text{s}$.
   • To convert from ft³/s to ft³/hr: $1 \text{ ft}³/\text{s} = 3600 \text{ ft}³/\text{hr}$.

3. Convert the units in sequence:

   • Convert from mm³/s to m³/s: $1 \text{ mm}³/\text{s} = 1 \times 10^{-9} \text{ m}³/\text{s}$.

   • Convert from m³/s to ft³/s: $1 \times 10^{-9} \text{ m}³/\text{s} \times 35.3147 \text{ ft}³/\text{s} = 3.53147 \times 10^{-8} \text{ ft}³/\text{s}$.

   • Convert from ft³/s to ft³/hr: $3.53147 \times 10^{-8} \text{ ft}³/\text{s} \times 3600 \text{ s/hr} = 1.27133 \times 10^{-4} \text{ ft}³/\text{hr}$.

Therefore, 1 cubic millimeter per second is equivalent to approximately 1.27133 × 10⁻⁴ cubic feet per hour.

Real-World Examples:

1. Medical Infusions:

   • A medical infusion pump might deliver medication at a rate of 100 mm³/s. Converting this to cubic feet per hour: $100 \, \text{mm}³/s \times 1.27133 \times 10^{-4} \, \text{ft}³/hr = 0.0127133 \, \text{ft}³/hr$.

2. Microfluidic Devices:

   • A microfluidic device might manipulate fluids at the rate of 10 mm³/s. Converting this to cubic feet per hour: $10 \, \text{mm}³/s \times 1.27133 \times 10^{-4} \, \text{ft}³/hr = 0.00127133 \, \text{ft}³/hr$.

3. Inkjet Printers:

   • An inkjet printer might eject ink at a rate of 500 mm³/s. Converting this: $500 \, \text{mm}³/s \times 1.27133 \times 10^{-4} \, \text{ft}³/hr = 0.0635665 \, \text{ft}³/hr$.

4. Hydraulic Systems:

   • A small hydraulic system might circulate fluid at 1,000 mm³/s. Converting this: $1,000 \, \text{mm}³/s \times 1.27133 \times 10^{-4} \, \text{ft}³/hr = 0.127133 \, \text{ft}³/hr$.

Each of these examples showcases how small volume flows measured in cubic millimeters per second can be applied in various fields and also converted to cubic feet per hour for different practical and engineering applications.