Cubic inches per minute to Pints per hour conversion

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

To convert cubic inches per minute (in³/min) to pints per hour (pt/hr), we need to use the appropriate conversion factors between these units of measurement.

1. Start by understanding the conversion factors:
   • There are 60 minutes in an hour.
   • There are 1.80469 cubic inches in a fluid ounce (1 fluid ounce ≈ 1.80469 in³).
   • There are 16 fluid ounces in a pint.

Putting these together, we can derive the conversion factor from cubic inches to pints:

1. Calculate the number of cubic inches in a pint:

$1 \text{ pint} = 16 \text{ fluid ounces} \times 1.80469 \text{ in}^3/\text{fluid ounce}$ $1 \text{ pint} = 28.87504 \text{ in}^3$

2. Convert the flow rate from cubic inches per minute to pints per minute:

$1 \text{ in}^3/\text{min} \times \frac{1 \text{ pint}}{28.87504 \text{ in}^3} = \frac{1}{28.87504} \text{ pints/min}$

3. Finally, convert from pints per minute to pints per hour by multiplying by 60:

$\frac{1}{28.87504} \text{ pints/min} \times 60 \text{ min/hr} = \frac{60}{28.87504} \text{ pints/hr} \approx 2.078 \text{ pt/hr}$

So, 1 cubic inch per minute (in³/min) is approximately equal to 2.078 pints per hour (pt/hr).

Real-World Examples of Cubic Inches Per Minute Conversion

1. Example: 5 Cubic Inches Per Minute (in³/min):

   • Using our conversion factor: $5 \text{ in}^3/\text{min} \times \frac{60}{28.87504} \approx 5 \times 2.078 = 10.39 \text{ pt/hr}$

2. Example: 10 Cubic Inches Per Minute (in³/min):

   • Using our conversion factor: $10 \text{ in}^3/\text{min} \times \frac{60}{28.87504} \approx 10 \times 2.078 = 20.78 \text{ pt/hr}$

3. Example: 20 Cubic Inches Per Minute (in³/min):

   • Using our conversion factor: $20 \text{ in}^3/\text{min} \times \frac{60}{28.87504} \approx 20 \times 2.078 = 41.56 \text{ pt/hr}$

4. Example: 50 Cubic Inches Per Minute (in³/min):

   • Using our conversion factor: $50 \text{ in}^3/\text{min} \times \frac{60}{28.87504} \approx 50 \times 2.078 = 103.9 \text{ pt/hr}$

These calculations can be used in various practical scenarios, such as converting flow rates in fluid mechanics applications, understanding the capacity of pumps, filling containers, or distributing liquids in manufacturing processes.