Cubic yards per minute to Pints per hour conversion

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

Sure, I’d be happy to help you with the conversion process and provide some real-world examples!

Step-by-Step Conversion

To convert cubic yards per minute to pints per hour, we'll follow these steps:

1. Convert cubic yards to cubic feet.
2. Convert cubic feet to pints.
3. Convert the time unit from minutes to hours.

Conversion Factors

1. Cubic yards to cubic feet:

   • 1 cubic yard = 27 cubic feet.

2. Cubic feet to pints:

   • 1 cubic foot = 7.48052 gallons.
   • 1 gallon = 8 pints.
   • Therefore, 1 cubic foot = 7.48052 * 8 = 59.84416 pints.

3. Minutes to hours:

   • 1 minute = 1/60 hours.

Conversion Equation

$\text{Cubic Yards/Minute} \times 27 \, \text{Cubic Feet/yard} \times 59.84416 \, \text{Pints/Cubic Feet} \times 60 \, \text{Minutes/Hour}$

Conversion Calculation

$1 \, \text{Cubic Yards/Minute} \times 27 \, \times 59.84416 \times 60$

Let's simplify step-by-step:

1. 1 Cubic Yard/Minute × 27 Cubic Feet/Yard = 27 Cubic Feet/Minute.
2. 27 Cubic Feet/Minute × 59.84416 Pints/Cubic Foot = 1615.79232 Pints/Minute.
3. 1615.79232 Pints/Minute × 60 Minutes/Hour = 96947.5392 Pints/Hour.

So, 1 cubic yard per minute is approximately 96947.5392 pints per hour.

Real-World Examples

1. Construction Site: A concrete mixer at a large construction site might pour concrete at the rate of 2 cubic yards per minute. Converting to pints per hour, it would be approximately: $2 \, \text{Cubic Yards/Minute} \times 96947.5392 \, \text{Pints/Cubic Yard/Hour} = 193895.0784 \, \text{Pints/Hour}.$

2. Flood Water Flow: During a severe flood, a pump might need to remove water at a rate of 0.5 cubic yards per minute. Converting this: $0.5 \, \text{Cubic Yards/Minute} \times 96947.5392 \, \text{Pints/Hour} = 48473.7696 \, \text{Pints/Hour}.$

3. Agricultural Irrigation: A farmer may irrigate their fields at a rate of 1.5 cubic yards per minute. Converting this: $1.5 \, \text{Cubic Yards/Minute} \times 96947.5392 \, \text{Pints/Hour} = 145421.3088 \, \text{Pints/Hour}.$

4. Water Treatment Plant: An industrial water treatment plant might process water at 3 cubic yards per minute. Converting this: $3 \, \text{Cubic Yards/Minute} \times 96947.5392 \, \text{Pints/Hour} = 290842.6176 \, \text{Pints/Hour}.$

I hope this helps you understand how to convert cubic yards per minute to pints per hour and gives you a sense of scale for different practical scenarios!