Quarts per second to Cubic yards per second conversion

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

Sure, I can explain how to convert quarts per second (qt/s) to cubic yards per second (yd³/s).

First, let's look at the conversion factors we need:

1. There are 4 quarts in a gallon.
2. There are 231 cubic inches in a gallon.
3. There are 27 cubic feet in a cubic yard.
4. There are 12 inches in a foot, so there are $12^3 = 1,728$ cubic inches in a cubic foot.

Here are the steps to convert quarts per second to cubic yards per second:

1. Convert quarts to gallons: $1 \, \text{quart} = \frac{1}{4} \, \text{gallon}$

2. Convert gallons to cubic inches: $1 \, \text{gallon} = 231 \, \text{cubic inches}$

3. Convert cubic inches to cubic feet: $1 \, \text{cubic foot} = 1,728 \, \text{cubic inches}$

4. Convert cubic feet to cubic yards: $1 \, \text{cubic yard} = 27 \, \text{cubic feet}$

Putting it all together: $1 \, \text{qt/s} = \frac{1}{4} \, \text{gal/s}$ $\frac{1}{4} \, \text{gal/s} \times 231 \, \frac{\text{in}^3}{\text{gal}} = 57.75 \, \text{in}^3/\text{s}$ $57.75 \, \text{in}^3/\text{s} \times \frac{1 \, \text{ft}^3}{1,728 \, \text{in}^3} = 0.0334 \, \text{ft}^3/\text{s}$ $0.0334 \, \text{ft}^3/\text{s} \times \frac{1 \, \text{yd}^3}{27 \, \text{ft}^3} \approx 0.00124 \, \text{yd}^3/\text{s}$

So, 1 quart per second is approximately 0.00124 cubic yards per second.

Real-World Examples

1. Garden Hose: A typical garden hose might deliver water at a rate around 5 quarts per second. That would convert to approximately $5 \times 0.00124 = 0.0062$ cubic yards per second.

2. Kitchen Faucet: A kitchen faucet might flow at a rate of 2 quarts per second. That would be $2 \times 0.00124 = 0.00248$ cubic yards per second.

3. Fire Hose: A fire hose can flow at a rate of around 100 quarts per second. This would be $100 \times 0.00124 = 0.124$ cubic yards per second.

4. Irrigation System: A large irrigation system for a farming operation might flow at a rate of 500 quarts per second. This would convert to $500 \times 0.00124 = 0.62$ cubic yards per second.

These conversions help illustrate how to compare different flow rates in terms that are commonly used in various applications.