Cubic Millimeters per second to Pints per second conversion

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

To convert Cubic Millimeters per second (mm³/s) to Pints per second (pt/s), you need to understand the conversion factor between these two units.

1 Cubic Millimeter (mm³) is equal to $10^{-9}$ cubic meters (m³). 1 Pint (pt) (US, liquid) is equal to approximately $0.473176473$ liters, or $473176.473$ cubic millimeters (mm³).

So to convert mm³/s to pt/s:

1. Convert cubic millimeters to cubic meters: $\text{Cubic Millimeters} \times 10^{-9} = \text{Cubic Meters}$

2. Convert cubic meters to pints: $\text{Cubic Meters} \times \frac{1 \text{ pint}}{0.000473176473 \text{ cubic meters}} = \text{Pints}$

Using the above approach: $1 \text{ mm}^3/\text{s} \times 10^{-9} \text{ m}^3/\text{mm}^3 = 1 \times 10^{-9} \text{ m}^3/\text{s}$ $1 \times 10^{-9} \text{ m}^3/\text{s} \times \frac{1 \text{ pint}}{0.000473176473 \text{ m}^3} = 2.1133764 \times 10^{-6} \text{ pints/s}$

Therefore, 1 Cubic Millimeter per second (mm³/s) is approximately equal to $2.1133764 \times 10^{-6}$ Pints per second (pt/s).

Real-World Examples:

1. Blood Flow in Capillaries:

   • The average capillary blood flow rate is about 7 μL/min (microliters per minute).
   • Converting this: $7 \, \mu L/\text{min} = 7 \times 10^{-3} \, mL/\text{min} = 7 \, mm^3/\text{min}$
   • Per second, this would be: $\frac{7 \, mm^3}{60}\text{ s} \approx 0.1167 \, mm^3/s$

2. Injection Flow Rates:

   • A typical insulin pump may deliver at 1 unit per hour, where 1 unit of insulin is approximately 10 microliters.
   • Converting to per second: $10 \, \mu L/\text{hour} = 10 \times 10^{-3} \, mL/\text{hour} = 10 \, mm^3/\text{hour}$ $\frac{10 \, mm^3}{3600 \text{ s}} \approx 0.00278 \, mm^3/s$

3. Printing Ink Flow in Inkjet Printers:

   • Inkjet printers may use ink at a rate of a few cubic millimeters per second for high-resolution printing. $Example: 3 \, mm^3/s$

These examples show a range where cubic millimeters per second can be applicable, illustrating both biological and mechanical flow rates, giving a better grasp of the flow rates we commonly encounter in various fields.