Tablespoons per second to Cubic inches per hour conversion

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

To convert from tablespoons per second (Tbsp/s) to cubic inches per hour (in³/h), we need to understand the relationship between these units:

1 U.S. Tablespoon (Tbsp) = 0.5 U.S. fluid ounces (fl. oz). 1 U.S. fluid ounce (fl. oz) = 1.80469 cubic inches (in³).

Using these conversions:

1 Tbsp = 0.5 fl. oz. 0.5 fl. oz = 0.5 * 1.80469 in³ = 0.902345 in³.

So, 1 Tbsp = 0.902345 in³.

Next, convert from seconds to hours: 1 second = 1/3600 hours.

To find the conversion factor in cubic inches per hour: $\text{1 Tbsp/s} = 0.902345 \, \text{in³} \times \text{(seconds per second)} = 0.902345 \, \text{in³/s}$ $\text{1 Tbsp/s} \times \frac{3600 \text{ seconds}}{1 \text{ hour}} = 0.902345 \text{ in³/s} \times 3600 \text{s/hour}$ $\text{1 Tbsp/s} = 0.902345 \text{in³} \times 3600 = 3248.442 in³/hour$

Therefore, 1 tablespoon per second is equivalent to 3248.442 cubic inches per hour.

Real World Examples for Different Quantities of Tablespoons per Second

Example 1: 0.5 Tbsp/s (Cooking Scenario)

A sauce dispenser might dispense at a rate of 0.5 tablespoons per second.

To convert 0.5 Tbsp/s to cubic inches per hour: $0.5 \, \text{Tbsp/s} \times 3248.442 \, \text{in}³/\text{hour per Tbsp/s} = 1624.221 \, \text{in}³/\text{hour}$

Example 2: 2 Tbsp/s (Industrial Liquid Dispensing)

An industrial machine might dispense a lubricant at a rate of 2 tablespoons per second.

To convert 2 Tbsp/s to cubic inches per hour: $2 \, \text{Tbsp/s} \times 3248.442 \, \text{in}³/\text{hour per Tbsp/s} = 6496.884 \, \text{in}³/\text{hour}$

Example 3: 0.1 Tbsp/s (IV Drip Rate)

An IV drip might administer medication at a rate of 0.1 tablespoons per second.

To convert 0.1 Tbsp/s to cubic inches per hour: $0.1 \, \text{Tbsp/s} \times 3248.442 \, \text{in}³/\text{hour per Tbsp/s} = 324.8442 \, \text{in}³/\text{hour}$

Understanding these conversions can help in various practical applications, from cooking to industrial processes to healthcare settings.