Cups per second to Gallons per hour conversion

How to convert cups per second to gallons per hour?

To convert from cups per second to gallons per hour, you'll need to use some common conversion factors. Here’s a step-by-step explanation:

1. Understand the basic conversions:

   • Cups to Gallons: There are 16 cups in 1 gallon.
   • Seconds to Hours: There are 3600 seconds in 1 hour.

2. Start with your conversion factor relationships: $\text{1 Cup per Second}$

3. Convert Cups to Gallons:

   • Since 1 gallon = 16 cups, 1 cup is $\frac{1}{16}$ gallons. $\text{1 Cup} = \frac{1}{16} \text{ Gallons}$

4. Convert Seconds to Hours:

   • Since 1 hour = 3600 seconds: $\text{1 Second} = \frac{1}{3600} \text{ Hours}$

5. Putting it all together:

   • You have 1 cup per second which needs to be converted to gallons per hour. $1 \text{ cup/second} \times \frac{1 \text{ gallon}}{16 \text{ cups}} \times \frac{3600 \text{ seconds}}{1 \text{ hour}} = \frac{3600}{16} \text{ gallons/hour}$

6. Simplify: $\frac{3600}{16} = 225 \text{ gallons/hour}$

So, 1 cup per second is equal to 225 gallons per hour.

Real-World Examples

Less than 1 Cup per Second:

1. Kitchen Sink Flow: A typical kitchen faucet may flow around 2 to 2.5 gallons per minute. To put this in Cups per Second: $2 \text{ gallons/min} = 0.033 \text{ gallons/second}$ Converting to cups: $0.033 \text{ gallons/second} \times 16 \text{ cups/gallon} \approx 0.53 \text{ cups/second}$

2. Medical IV Drip: An intravenous (IV) drip typically delivers about 1 milliliter (mL) per minute. Converting to Cups per Second: $1 \text{ mL/min} = 0.000264172 \text{ gallons/min}$ $0.000264172 \text{ gallons/min} \times \frac{1 \text{ minute}}{60 \text{ seconds}} = 0.000004403 \text{ gallons/sec}$ $0.000004403 \text{ gallons/sec} \times 16 \text{ cups/gallon} \approx 0.00007045 \text{ cups/second}$

More than 1 Cup per Second:

1. Fire Hose: A standard fire hose might deliver around 100 gallons per minute. Converting to Cups per Second: $100 \text{ gallons/min} = \frac{100}{60} \text{ gallons/sec} \approx 1.67 \text{ gallons/sec}$ $1.67 \text{ gallons/sec} \times 16 \text{ cups/gallon} = 26.72 \text{ cups/second}$

2. Garden Hose: A typical garden hose might deliver about 15 gallons per minute. Converting to Cups per Second: $15 \text{ gallons/min} = \frac{15}{60} \text{ gallons/sec} = 0.25 \text{ gallons/sec}$ $0.25 \text{ gallons/sec} \times 16 \text{ cups/gallon} = 4 \text{ cups/second}$

Understanding these examples can help you visualize different flow rates and their practical implications in everyday situations.