Cups per second to Fluid Ounces per hour conversion

How to convert cups per second to fluid ounces per hour?

To convert from cups per second (CPS) to fluid ounces per hour (fl oz/hr), you need to follow these steps:

1. Identify the Conversion Factors:

   • 1 cup = 8 fluid ounces.
   • 1 hour = 3600 seconds.

2. Set Up the Conversion: Since you know that there are 8 fluid ounces in a cup and there are 3600 seconds in an hour, you can convert as follows:

   $\text{Fluid Ounces per Hour} = \text{Cups per Second} \times \left(\frac{8 \text{ fl oz}}{1 \text{ cup}}\right) \times \left(\frac{3600 \text{ seconds}}{1 \text{ hour}}\right)$

3. Perform the Calculation: Plug in the given value of 1 cup per second:

   $= 1 \text{ cup/second} \times 8 \text{ fl oz/cup} \times 3600 \text{ seconds/hour} = 1 \times 8 \times 3600 = 28800 \text{ fluid ounces/hour}$

So, 1 cup per second is equal to 28,800 fluid ounces per hour.

Real World Examples of Other Quantities of Cups per Second:

1. 0.5 Cups per Second:

   • Conversion:
     $= 0.5 \times 8 \times 3600 = 0.5 \times 28800 = 14400 \text{ fluid ounces/hour}$

   Example: Imagine a small stream filling a bucket; it might flow at about 0.5 cups per second.

2. 2 Cups per Second:

   • Conversion:
     $= 2 \times 8 \times 3600 = 2 \times 28800 = 57600 \text{ fluid ounces/hour}$

   Example: A large garden hose producing water at a high rate might flow at around 2 cups per second.

3. 0.1 Cups per Second:

   • Conversion:
     $= 0.1 \times 8 \times 3600 = 0.1 \times 28800 = 2880 \text{ fluid ounces/hour}$

   Example: A tap that’s slightly open might let water out at about 0.1 cups per second.

4. 5 Cups per Second:

   • Conversion:
     $= 5 \times 8 \times 3600 = 5 \times 28800 = 144000 \text{ fluid ounces/hour}$

   Example: An industrial water pump could flow at around 5 cups per second.

By using these steps and principles, you can convert any rate given in cups per second to fluid ounces per hour and understand what those rates might look like in real-world scenarios.