Quarts per second to Cubic yards per minute conversion

How to convert quarts per second to cubic yards per minute?

To convert quarts per second (qt/s) to cubic yards per minute (yd³/min), you need to go through a series of unit conversions. Here are the steps:

1. Convert quarts to cubic meters: $1 \text{ quart} = 0.000946353 \text{ cubic meters (m³)}$

2. Convert cubic meters to cubic yards: $1 \text{ cubic meter (m³)} = 1.30795 \text{ cubic yards (yd³)}$

3. Convert seconds to minutes: $1 \text{ second} = \frac{1}{60} \text{ minutes}$

Given these conversion factors, let’s convert 1 qt/s (quarts per second) to yd³/min (cubic yards per minute):

1. Quarts to cubic meters: $1 \text{ qt/s} = 1 \times 0.000946353 \text{ m³/s} = 0.000946353 \text{ m³/s}$

2. Cubic meters to cubic yards: $0.000946353 \text{ m³/s} \times 1.30795 \text{ yd³/m³} = 0.001237647073 \text{ yd³/s}$

3. Seconds to minutes: $0.001237647073 \text{ yd³/s} \times 60 \text{ s/min} = 0.0742588244 \text{ yd³/min}$

So, $\boxed{1 \text{ qt/s} = 0.0742588244 \text{ yd³/min}}$.

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Real-world Examples for Other Quantities of Quarts per Second

1. Garden Hose: A typical garden hose might flow at around 0.5 qt/s.

   • Converting 0.5 qt/s to cubic yards per minute: $0.5 \text{ qt/s} = 0.5 \times 0.0742588244 \text{ yd³/min} = 0.0371294122 \text{ yd³/min}$

2. Fire Hydrant: A fire hydrant flows at approximately 20 qt/s.

   • Converting 20 qt/s to cubic yards per minute: $20 \text{ qt/s} = 20 \times 0.0742588244 \text{ yd³/min} = 1.485176488 \text{ yd³/min}$

3. Waterfall: A small waterfall might flow at 100 qt/s.

   • Converting 100 qt/s to cubic yards per minute: $100 \text{ qt/s} = 100 \times 0.0742588244 \text{ yd³/min} = 7.42588244 \text{ yd³/min}$

These examples give you a sense of how various flow rates in quarts per second can be interpreted in terms of cubic yards per minute.