Pints per second to Cubic inches per minute conversion

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

Sure, let’s convert 1 pint per second (PPS) to cubic inches per minute (CIPM).

Step-by-Step Conversion

1. Identify the units:

   • 1 Pint (PT) = 28.875 cubic inches (CI)
   • 1 minute (MIN) = 60 seconds (SEC)

2. Convert PPS to Pints per minute (PPM):

   • Since there are 60 seconds in a minute, multiply the PPS value by 60.
   • $1 \text{ PPS} = 1 \text{ PT/SEC} \times 60 \text{ SEC/MIN} = 60 \text{ PPM}$

3. Convert Pints to Cubic Inches:

   • Multiply the PPM by the cubic inches per pint.
   • $60 \text{ PPM} \times 28.875 \text{ CI/PP} = 1732.5 \text{ CI/MIN}$

Therefore, 1 pint per second is equivalent to 1732.5 cubic inches per minute.

Real-World Examples

Let’s look at some real-world situations for other quantities of pints per second:

1. 0.5 Pints per Second:

   • Conversion: $0.5 \text{ PPS} \times 60 \text{ SEC/MIN} \times 28.875 \text{ CI/PT} = 866.25 \text{ CI/MIN}$
   • Example: A small garden hose delivering 0.5 pints per second equates to 866.25 cubic inches per minute.

2. 2 Pints per Second:

   • Conversion: $2 \text{ PPS} \times 60 \text{ SEC/MIN} \times 28.875 \text{ CI/PT} = 3465 \text{ CI/MIN}$
   • Example: A larger industrial water pump delivering 2 pints per second achieves a flow rate of 3465 cubic inches per minute.

3. 10 Pints per Second:

   • Conversion: $10 \text{ PPS} \times 60 \text{ SEC/MIN} \times 28.875 \text{ CI/PT} = 17325 \text{ CI/MIN}$
   • Example: A fire hose delivering 10 pints per second (a very high flow rate) results in 17325 cubic inches per minute.

Summarized Formula for Any Quantity

You can generalize the conversion process for any value of $x$ pints per second: $x \text{ PPS} \times 60 \text{ SEC/MIN} \times 28.875 \text{ CI/PT} = y \text{ CI/MIN}$ Where $y$ is the resulting value in cubic inches per minute.

Hope that helps!