Cubic inches per minute to Pints per second conversion

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

To convert from cubic inches per minute (in³/min) to pints per second (pt/s), you will need to use two conversion factors:

1. Convert cubic inches to pints.
2. Convert minutes to seconds.

Let's break it down step by step.

Conversion Factors

1. Cubic inches to pints:

   • 1 pint = 28.875 cubic inches (approximately).
   • Therefore, 1 cubic inch = 1 / 28.875 pints.

2. Minutes to seconds:

   • 1 minute = 60 seconds.
   • Therefore, 1 in³/min = 1 in³ / 60 s.

Step-by-Step Conversion

1. Start with the flow rate in cubic inches per minute: $\text{Flow rate} = 1 \, \text{in}^3/\text{min}$

2. Convert cubic inches to pints: $1 \, \text{in}^3 \times \left( \frac{1 \, \text{pt}}{28.875 \, \text{in}^3} \right) = \frac{1}{28.875} \, \text{pt}$

3. Convert minutes to seconds: $\frac{1}{28.875} \, \text{pt/min} \times \left( \frac{1 \, \text{min}}{60 \, \text{s}} \right) = \frac{1}{28.875 \times 60} \, \text{pt/s}$

4. Calculate the value: $\frac{1}{28.875 \times 60} \approx \frac{1}{1732.5} \approx 0.0005778 \, \text{pt/s}$

Final Conversion

So, 1 cubic inch per minute is approximately 0.0005778 pints per second.

Real-World Examples of Flow Rates in cu.in/min

1. Small Aquarium Pump:

   • Flow rate: ~ 500 in³/min.
   • Conversion: $500 \, \text{in}^3/\text{min} \approx 500 \times 0.0005778 \approx 0.2889 \, \text{pt/s}$.

2. Large Industrial Pipe:

   • Flow rate: ~ 100,000 in³/min.
   • Conversion: $100,000 \, \text{in}^3/\text{min} \approx 100,000 \times 0.0005778 \approx 57.78 \, \text{pt/s}$.

3. Residential Water Flow:

   • A typical household faucet might flow around 1,200 in³/min.
   • Conversion: $1,200 \, \text{in}^3/\text{min} \approx 1,200 \times 0.0005778 \approx 0.6933 \, \text{pt/s}$.

4. Small Fuel Pump (like on a small engine):

   • Flow rate: ~ 50 in³/min.
   • Conversion: $50 \, \text{in}^3/\text{min} \approx 50 \times 0.0005778 \approx 0.02889 \, \text{pt/s}$.

These conversions help give context to the scale of different flow rates you might encounter in real-world settings.