Pints per minute to Cubic Millimeters per second conversion

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

Sure! Converting from pints per minute to cubic millimeters per second involves several steps and unit conversions.

1. Determine the volume of a pint in milliliters (mL):

   • 1 U.S. pint (liquid) = 473.176 milliliters (mL)

2. Convert milliliters to cubic millimeters:

   • 1 milliliter (mL) = 1,000 cubic millimeters (mm³)

3. Convert minutes to seconds:

   • 1 minute = 60 seconds

Now, let's perform the conversion from 1 pint per minute to cubic millimeters per second:

1. Start with 1 pint per minute.
2. Convert pints to milliliters: $1 \, \text{pint/min} \times 473.176 \, \text{mL/pint} = 473.176 \, \text{mL/min}$
3. Convert milliliters to cubic millimeters: $473.176 \, \text{mL/min} \times 1,000 \, \text{mm}^3/\text{mL} = 473,176 \, \text{mm}^3/\text{min}$
4. Convert minutes to seconds: $\frac{473,176 \, \text{mm}^3/\text{min}}{60 \, \text{sec/min}} = 7,886.267 \, \text{mm}^3/\text{sec}$

Therefore, 1 pint per minute is equivalent to 7,886.267 cubic millimeters per second.

Real-World Examples

1. Kitchen Tap Flow Rate:

   • If a kitchen tap flows at 2 pints per minute, you would have: $2 \, \text{pints/min} \times 7,886.267 \, \text{mm}^3/\text{sec} = 15,772.534 \, \text{mm}^3/\text{sec}$

2. Garden Hose Flow Rate:

   • A garden hose might have a flow rate of 5 pints per minute, which is: $5 \, \text{pints/min} \times 7,886.267 \, \text{mm}^3/\text{sec} = 39,431.335 \, \text{mm}^3/\text{sec}$

3. Water Softener System:

   • A water softener system could have a flow rate of 10 pints per minute, equating to: $10 \, \text{pints/min} \times 7,886.267 \, \text{mm}^3/\text{sec} = 78,862.67 \, \text{mm}^3/\text{sec}$

4. Industrial Cooling System:

   • An industrial cooling system might flow at 40 pints per minute, which is: $40 \, \text{pints/min} \times 7,886.267 \, \text{mm}^3/\text{sec} = 315,450.68 \, \text{mm}^3/\text{sec}$

These examples illustrate how to convert flow rates for various applications from pints per minute to cubic millimeters per second, providing a better understanding of their magnitudes in different contexts.