Cubic yards per hour to Pints per minute conversion

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

To convert 1 cubic yard per hour (yd³/hr) to pints per minute (pt/min), you must follow a series of unit conversions: from cubic yards to cubic feet, from cubic feet to gallons, and finally from gallons to pints. Here's how you can do this step-by-step:

1. Convert cubic yards to cubic feet: $1 \text{ cubic yard} = 27 \text{ cubic feet}$ So, $1 \, \text{yd³/hr} = 27 \, \text{ft³/hr}$

2. Convert cubic feet to gallons: $1 \text{ cubic foot} = 7.48052 \text{ gallons}$ So, $27 \, \text{ft³/hr} \times 7.48052 \, \text{gallons/ft³} = 201.97404 \, \text{gallons/hr}$

3. Convert gallons to pints: $1 \text{ gallon} = 8 \text{ pints}$ So, $201.97404 \, \text{gallons/hr} \times 8 \, \text{pints/gallon} = 1615.79232 \, \text{pints/hr}$

4. Convert hours to minutes: $1 \text{ hour} = 60 \text{ minutes}$ So, $\frac{1615.79232 \, \text{pints/hr}}{60 \, \text{min/hr}} = 26.929872 \, \text{pints/min}$

So, 1 cubic yard per hour is approximately 26.93 pints per minute.

Real World Examples for Other Quantities of Cubic Yards per Hour:

1. Concrete Pouring for Construction:

   • Suppose a concrete mixer truck pours concrete at a rate of 5 cubic yards per hour.
   • Converting to pints per minute: $5 \, \text{yd³/hr} \times 26.93 \, \text{pt/min} = 134.65 \, \text{pt/min}$
   • So, the concrete truck is pouring at about 134.65 pints per minute.

2. Industrial Water Flow:

   • A water treatment facility has a flow rate of 10 cubic yards per hour.
   • Converting to pints per minute: $10 \, \text{yd³/hr} \times 26.93 \, \text{pt/min} = 269.30 \, \text{pt/min}$
   • Thus, the facility processes about 269.3 pints of water per minute.

3. Agricultural Irrigation:

   • An irrigation system might dispense water at a rate of 2 cubic yards per hour.
   • Converting to pints per minute: $2 \, \text{yd³/hr} \times 26.93 \, \text{pt/min} = 53.86 \, \text{pt/min}$
   • Therefore, the irrigation system is delivering approximately 53.86 pints of water per minute.

Each of these examples demonstrates different real-world applications where converting cubic yards per hour to pints per minute can be useful for understanding the flow rates in more familiar or practical terms.