Tablespoons per second to Cubic feet per hour conversion

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

To convert from Tablespoons per second (Tbsp/s) to Cubic feet per hour (ft³/hr), follow these steps:

1. Convert Tablespoons to Cubic Inches:

   • There are 3 teaspoons in 1 tablespoon.
   • There are 1/48 teaspoons in 1 cubic inch. Therefore, $1 \text{ Tbsp} = 3 \text{ tsp} \times \left( \frac{1 \text{ cubic inch}}{48 \text{ tsp}} \right) = \frac{3}{48} \text{ cubic inches} = \frac{1}{16} \text{ cubic inches}.$

2. Convert Cubic Inches to Cubic Feet:

   • There are 1728 cubic inches in 1 cubic foot (since $12 \times 12 \times 12 = 1728$). Therefore, $1 \text{ cubic inch} = \frac{1}{1728} \text{ cubic feet}.$ Combining these conversions: $1 \text{ Tbsp} = \frac{1}{16} \text{ cubic inches} \times \frac{1 \text{ cubic feet}}{1728 \text{ cubic inches}} = \frac{1}{27648} \text{ cubic feet}.$

3. Convert from Tablespoons per second to Cubic Feet per Hour:

   • There are 3600 seconds in 1 hour. Therefore, $1 \text{ Tbsp/s} = \frac{1}{27648} \text{ cubic feet} \times 3600 \text{ seconds/hour} = \frac{3600}{27648} \text{ cubic feet/hour} = \frac{75}{576} \text{ cubic feet/hour} = \frac{25}{192} \text{ cubic feet/hour} \approx 0.1302 \text{ cubic feet/hour}.$

So, 1 Tablespoon per second is approximately 0.1302 cubic feet per hour.

Real-world Examples for Other Quantities of Tbsp/s:

1. 2 Tbsp/s: $2 \text{ Tbsp/s} \approx 2 \times 0.1302 \text{ ft³/hr} = 0.2604 \text{ ft³/hr}.$ This could be the flow rate for a small household faucet.

2. 5 Tbsp/s: $5 \text{ Tbsp/s} \approx 5 \times 0.1302 \text{ ft³/hr} = 0.651 \text{ ft³/hr}.$ This might be a moderate flow for a garden hose.

3. 10 Tbsp/s: $10 \text{ Tbsp/s} \approx 10 \times 0.1302 \text{ ft³/hr} = 1.302 \text{ ft³/hr}.$ This could represent a more powerful stream, such as that from a fire hydrant used at moderate pressure for testing.

By using these conversions, you can relate various flow rates in Tablespoons per second to a more standardized volume flow rate in Cubic feet per hour, which is useful in many engineering and practical applications.