Teaspoons per second to Gallons per minute conversion

How to convert teaspoons per second to gallons per minute?

To convert from teaspoons per second (tsp/s) to gallons per minute (gal/min), you need to understand the relationship between these units of measure.

1. Identify the conversion factors:

   • Teaspoons to gallons: 1 gallon (gal) = 768 teaspoons (tsp)
   • Seconds to minutes: 1 minute (min) = 60 seconds (s)

2. Set up the conversion formula:

   $\text{Flow rate in gal/min} = \text{Flow rate in tsp/s} \times \frac{1 \text{ gal}}{768 \text{ tsp}} \times \frac{60 \text{ s}}{1 \text{ min}}$

3. Convert 1 tsp/s to gal/min:

   $1 \text{ tsp/s} \times \frac{1 \text{ gal}}{768 \text{ tsp}} \times \frac{60 \text{ s}}{1 \text{ min}} = \frac{60}{768} \text{ gal/min}$

   Simplify the fraction:

   $\frac{60}{768} = \frac{5}{64}$

   So:

   $1 \text{ tsp/s} = \frac{5}{64} \text{ gal/min} \approx 0.078125 \text{ gal/min}$

Real World Examples for Other Quantities of Teaspoons per Second

1. 0.5 teaspoons per second:

   $0.5 \text{ tsp/s} \times \frac{1 \text{ gal}}{768 \text{ tsp}} \times \frac{60 \text{ s}}{1 \text{ min}} = \frac{30}{768} \text{ gal/min} \approx 0.0390625 \text{ gal/min}$

2. 10 teaspoons per second:

   $10 \text{ tsp/s} \times \frac{1 \text{ gal}}{768 \text{ tsp}} \times \frac{60 \text{ s}}{1 \text{ min}} = \frac{600}{768} \text{ gal/min} = \frac{25}{32} \text{ gal/min} \approx 0.78125 \text{ gal/min}$

3. 50 teaspoons per second:

   $50 \text{ tsp/s} \times \frac{1 \text{ gal}}{768 \text{ tsp}} \times \frac{60 \text{ s}}{1 \text{ min}} = \frac{3000}{768} \text{ gal/min} \approx 3.90625 \text{ gal/min}$

4. 100 teaspoons per second:

   $100 \text{ tsp/s} \times \frac{1 \text{ gal}}{768 \text{ tsp}} \times \frac{60 \text{ s}}{1 \text{ min}} = \frac{6000}{768} \text{ gal/min} = \frac{125}{16} \text{ gal/min} \approx 7.8125 \text{ gal/min}$

Practical Applications

• 0.5 tsp/s: Could represent a slow drip from a leaky faucet.

• 10 tsp/s: May be the flow rate from a small garden hose or a gentle stream.

• 50 tsp/s: Might correspond to a kitchen tap at medium flow.

• 100 tsp/s: Can be used to illustrate high flow rates, like an industrial water pump or fire hose.

These conversions and examples help illustrate the usefulness of understanding volume flow rates in different units for practical real-world applications.