Pints per second to Cubic feet per hour conversion

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

To convert pints per second (pints/s) to cubic feet per hour (ft³/h), you need to go through a series of unit conversions. Here's the step-by-step process:

1. Convert pints to cubic feet:

   • There are 8 pints in a gallon.
   • There are 7.48052 gallons in a cubic foot.

   Therefore, 1 pint = 1/8 gallons and since 1 gallon = 1/7.48052 cubic feet, then: $1 \text{ pint} = \frac{1}{8} \times \frac{1}{7.48052} \text{ cubic feet}$ This equals: $1 \text{ pint} \approx 0.01671007 \text{ cubic feet}$

2. Convert pints per second to cubic feet per second:

   Since we know 1 pint ≈ 0.01671007 cubic feet, 1 pint/second is equivalent to: $1 \text{ pint/s} \approx 0.01671007 \text{ ft³/s}$

3. Convert cubic feet per second to cubic feet per hour:

   There are 3600 seconds in an hour. Therefore, to convert from cubic feet per second to cubic feet per hour: $\text{ft³/h} = \text{ft³/s} \times 3600$

   So, $0.01671007 \text{ ft³/s} \times 3600 \approx 60.156252 \text{ ft³/h}$

Therefore, 1 pint per second is approximately equal to 60.156252 cubic feet per hour.

Real-World Examples for Other Quantities of Pints per Second:

1. 0.5 Pints per second:

   To convert this, simply halve the result of 1 pint per second: $0.5 \text{ pints/s} \approx 30.078126 \text{ ft³/h}$

2. 2 Pints per second:

   To convert this, double the result of 1 pint per second: $2 \text{ pints/s} \approx 120.312504 \text{ ft³/h}$

3. 10 Pints per second:

   Multiply the result of 1 pint per second by 10: $10 \text{ pints/s} \approx 601.56252 \text{ ft³/h}$

4. 100 Pints per second:

   Multiply the result of 1 pint per second by 100: $100 \text{ pints/s} \approx 6015.6252 \text{ ft³/h}$

These conversions help to illustrate how different flow rates in pints per second translate to cubic feet per hour in various scenarios. For instance, industrial liquids transfer operations, beverage engineering, and large-scale food production are practical areas where such conversions could be applied.