Pints per hour to Cubic yards per minute conversion

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

Sure! To convert from pints per hour (pt/h) to cubic yards per minute (yd³/min), we'll need to go through a few intermediate steps, using conversion factors.

1 Pint (US) = 0.125 Gallons (US)
1 Gallon (US) = 231 Cubic Inches
1 Cubic Yard = 46,656 Cubic Inches
1 Hour = 60 Minutes

Let's break this down in steps:

1. Convert pints to gallons: $1 \text{ pint/hour} = 0.125 \text{ gallons/hour}$

2. Convert gallons to cubic inches: $0.125 \text{ gallons/hour} \times 231 \text{ cubic inches/gallon} = 28.875 \text{ cubic inches/hour}$

3. Convert cubic inches to cubic yards: $\frac{28.875 \text{ cubic inches/hour}}{46656 \text{ cubic inches/cubic yard}} = 6.18967 \times 10^{-4} \text{ cubic yards/hour}$

4. Finally, convert cubic yards per hour to cubic yards per minute: $\frac{6.18967 \times 10^{-4} \text{ cubic yards/hour}}{60 \text{ minutes/hour}} = 1.03161 \times 10^{-5} \text{ cubic yards/minute}$

So, 1 pint per hour is approximately $1.03161 \times 10^{-5}$ cubic yards per minute.

Real-World Examples of Pints Per Hour

1. Irrigation System: An irrigation system might deliver water at a rate of 20 pints per hour to a section of a garden. This is roughly equivalent to 0.345 Gallons per hour.

2. Beer Production: A small brewery might have a bottling line that bottles beer at a rate of 300 pints per hour. That's about 37.5 gallons per hour.

3. Fuel Consumption: A small engine, like those on lawnmowers or generators, might consume fuel at a rate of 1 pint per hour. This is roughly equal to 0.125 gallons per hour, or about 0.473 liters per hour.