Pints per second to Cubic yards per hour conversion

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

To convert 1 pint per second (pts/s) to cubic yards per hour (yd³/hr), you need to understand the relationship between the units involved. Here’s a step-by-step process for the conversion:

Step 1: Understand the Basic Unit Conversions

1. Pints to Cubic Yards:

   • 1 pint (US liquid) = 0.000582 cubic yards.

2. Seconds to Hours:

   • 1 second = 1/3600 hours (since there are 3600 seconds in an hour).

Step 2: Combine the Conversions

To convert 1 pint per second to cubic yards per hour:

1. Multiply the number of pints by their equivalent in cubic yards.
2. Multiply by the number of seconds in an hour.

Formally: $1 \text{ pint/second} \times 0.000582 \text{ cubic yards/pint} \times 3600 \text{ seconds/hour}$

Step 3: Perform the Calculation

$1 \times 0.000582 \times 3600 = 2.0952 \text{ cubic yards/hour}$

So, 1 pint per second equals 2.0952 cubic yards per hour.

Real-World Examples

1. 5 Pints per Second: $5 \times 2.0952 = 10.476 \text{ cubic yards/hour}$

2. 0.5 Pints per Second: $0.5 \times 2.0952 = 1.0476 \text{ cubic yards/hour}$

3. 3 Pints per Second: $3 \times 2.0952 = 6.2856 \text{ cubic yards/hour}$

4. 10 Pints per Second: $10 \times 2.0952 = 20.952 \text{ cubic yards/hour}$

Practical Applications

1. Water Flow for Irrigation:

   • If your irrigation system flows at 2 pints per second, you can determine it delivers approximately 4.1904 cubic yards per hour.

2. Beverage Production:

   • A brewery with a bottling line filling at 1 pint per second will handle about 2.0952 cubic yards of beer per hour.

3. Water Management:

   • In flood control, monitoring a channel flowing at 3 pints per second would mean it's discharging around 6.2856 cubic yards of water per hour.

Understanding these conversions can provide valuable insights for various engineering, environmental, and industrial applications.