Pints per minute to Cubic yards per hour conversion

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

To convert Pints per Minute to Cubic Yards per Hour, you'll need to follow a series of unit conversions. Here's a step-by-step process:

Step-by-Step Conversion:

1. Convert Pints to Cubic Inches:

   • There are 28.875 cubic inches in a pint.

2. Convert Pints per Minute to Cubic Inches per Minute:

   • Multiply by the number of cubic inches: $1 \text{ Pint/Minute} \times 28.875 \text{ Cubic Inches/Pint} = 28.875 \text{ Cubic Inches/Minute}$

3. Convert Cubic Inches per Minute to Cubic Inches per Hour:

   • There are 60 minutes in an hour.
   • Multiply by the number of minutes: $28.875 \text{ Cubic Inches/Minute} \times 60 = 1732.5 \text{ Cubic Inches/Hour}$

4. Convert Cubic Inches to Cubic Yards:

   • There are 46,656 cubic inches in a cubic yard (since $36$ inches per yard and $36 \times 36 \times 36 = 46,656$).
   • Divide by the number of cubic inches per cubic yard: $1732.5 \text{ Cubic Inches/Hour} \div 46,656 \approx 0.0371 \text{ Cubic Yards/Hour}$

So, $1 \text{ Pint/Minute} \approx 0.0371 \text{ Cubic Yards/Hour}$.

Real-World Examples:

1. Flowing Water:

   • A small stream could have a flow rate of 10 Pints per minute: $10 \text{ Pints/Minute} = 10 \times 0.0371 \approx 0.371 \text{ Cubic Yards/Hour}$

2. Beverage Dispensers:

   • A commercial beverage dispenser might dispense 5 Pints per minute: $5 \text{ Pints/Minute} = 5 \times 0.0371 \approx 0.1855 \text{ Cubic Yards/Hour}$

3. Aquariums:

   • A large aquarium filter might pump water at 20 Pints per minute: $20 \text{ Pints/Minute} = 20 \times 0.0371 \approx 0.742 \text{ Cubic Yards/Hour}$

By following these steps, you can convert any value of Pints per minute to Cubic Yards per hour and apply it to various real-world scenarios.