Teaspoons per second to Cubic feet per hour conversion

How to convert teaspoons per second to cubic feet per hour?

To convert from teaspoons per second (tsp/s) to cubic feet per hour (ft³/hr), you'll need to follow a series of conversion steps. Here’s a step-by-step guide:

1. Convert teaspoons to cubic feet:
   • There are 3 teaspoons in a tablespoon.
   • There are 16 tablespoons in a cup.
   • There are 2 cups in a pint.
   • There are 8 pints in a gallon.
   • There are 7.48052 gallons in a cubic foot.

Therefore: $1 \text{ cubic foot} = 7.48052 \times 8 \times 2 \times 16 \times 3 \text{ teaspoons}$ $1 \text{ cubic foot} = 7.48052 \times 768 \text{ teaspoons}$ $1 \text{ cubic foot} = 5745.06 \text{ teaspoons}$

Thus: $1 \text{ teaspoon} = \frac{1}{5745.06} \text{ cubic feet}$

2. Convert seconds to hours:

   • There are 3600 seconds in an hour.

3. Convert $1 \text{ tsp/s}$ to $\text{ ft}^3/\text{hr}$: $1 \text{ tsp/s} \times \frac{1 \text{ ft}^3}{5745.06 \text{ tsp}} \times 3600 \text{ seconds/hour} = \frac{3600}{5745.06} \text{ ft}^3/\text{hr}$ $1 \text{ tsp/s} \approx 0.6261 \text{ ft}^3/\text{hr}$

Real World Examples:

1. 0.5 Teaspoons per second: $0.5 \text{ tsp/s} = 0.5 \times 0.6261 \text{ ft}^3/\text{hr} \approx 0.313 \text{ ft}^3/\text{hr}$

2. 2 Teaspoons per second: $2 \text{ tsp/s} = 2 \times 0.6261 \text{ ft}^3/\text{hr} \approx 1.2522 \text{ ft}^3/\text{hr}$

3. 5 Teaspoons per second: $5 \text{ tsp/s} = 5 \times 0.6261 \text{ ft}^3/\text{hr} \approx 3.1305 \text{ ft}^3/\text{hr}$

4. 10 Teaspoons per second: $10 \text{ tsp/s} = 10 \times 0.6261 \text{ ft}^3/\text{hr} \approx 6.261 \text{ ft}^3/\text{hr}$

5. 20 Teaspoons per second: $20 \text{ tsp/s} = 20 \times 0.6261 \text{ ft}^3/\text{hr} \approx 12.522 \text{ ft}^3/\text{hr}$

These conversions can help you relate small units like teaspoons per second to larger units like cubic feet per hour, which may be useful in various scenarios such as understanding fluid flow rates in engineering or culinary contexts.