Teaspoons per second to Fluid Ounces per hour conversion

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

Sure, I'd be happy to help with that conversion and provide some real-world examples!

Conversion Process

To convert a volume flow rate from Teaspoons per second (tsp/s) to Fluid Ounces per hour (fl oz/hr), you need to follow these steps:

1. Convert teaspoons to fluid ounces:

   • There are 6 teaspoons (tsp) in 1 fluid ounce (fl oz).

2. Convert seconds to hours:

   • There are 3600 seconds (s) in 1 hour (hr).

Step-by-Step Example

Let's convert 1 teaspoon per second (tsp/s) to fluid ounces per hour (fl oz/hr):

1. Convert Teaspoons to Fluid Ounces:

   • Since 1 fluid ounce is 6 teaspoons, 1 teaspoon equals $\frac{1}{6}$ fluid ounces.

2. Convert seconds to hours:

   • Multiply the value in fluid ounces per second by the number of seconds in an hour (3600).

So, the conversion looks like this:

$1 \text{ tsp/s} \times \frac{1 \text{ fl oz}}{6 \text{ tsp}} \times 3600 \text{ s/hr}$

$= \frac{3600}{6} \text{ fl oz/hr}$

$= 600 \text{ fl oz/hr}$

Therefore, 1 teaspoon per second is equal to 600 fluid ounces per hour.

Real-World Examples

1. Small Flow Rate Example: 0.5 tsp/s

   • Calculate in fluid ounces per hour: $0.5 \text{ tsp/s} \times 600 \text{ fl oz/hr} = 300 \text{ fl oz/hr}$

2. Moderate Flow Rate Example: 2 tsp/s

   • Calculate in fluid ounces per hour: $2 \text{ tsp/s} \times 600 \text{ fl oz/hr} = 1200 \text{ fl oz/hr}$

3. High Flow Rate Example: 5 tsp/s

   • Calculate in fluid ounces per hour: $5 \text{ tsp/s} \times 600 \text{ fl oz/hr} = 3000 \text{ fl oz/hr}$

Real-World Contexts

• Drinks Dispenser:

  • A drinks dispenser that pours at a rate of 0.5 tsp/s would fill about 300 fl oz of fluid in an hour, roughly equivalent to nearly 2.34 gallons.

• Small Fountain:

  • A small garden fountain at a rate of 2 tsp/s would circulate around 1200 fl oz per hour, which is about 9.375 gallons.

• Irrigation System:

  • A drip irrigation system that releases water at a rate of 5 tsp/s would dispense 3000 fl oz per hour, or approximately 23.44 gallons.

These conversions and examples can help you understand and quantify flow rates in various contexts better!