Cubic inches per minute to Tablespoons per second conversion

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

To convert cubic inches per minute (in³/min) to tablespoons per second (tbsp/s), we need to follow a few steps. Here's how the conversion is done:

1. Convert cubic inches to tablespoons:

   • 1 cubic inch (in³) is equivalent to approximately 1.108225 tablespoons (tbsp).

2. Convert minutes to seconds:

   • 1 minute (min) is equivalent to 60 seconds (s).

Putting these conversions together, follow these steps:

1. Convert cubic inches per minute to cubic inches per second: $\frac{{1 \, \text{in}^3}}{{\text{min}}} \times \frac{1\, \text{min}}{60 \, \text{s}} = \frac{1 \, \text{in}^3}{60 \, \text{s}}$

2. Convert cubic inches to tablespoons: $\frac{1 \, \text{in}^3}{60 \, \text{s}} \times 1.108225 \, \text{tbsp/in}^3 = \frac{1.108225 \, \text{tbsp}}{60 \, \text{s}} \approx 0.01847 \, \text{tbsp/s}$

Thus, 1 cubic inch per minute is approximately equal to 0.01847 tablespoons per second.

Real-World Examples:

1. 5 Cubic Inches Per Minute:

   • Convert to tablespoons per second: $\frac{5\, \text{in}^3}{\text{min}} \times \frac{1.108225\, \text{tbsp}}{60\, \text{s}} = \frac{5.541125 \, \text{tbsp}}{60\, \text{s}} = 0.09235 \, \text{tbsp/s}$

2. 20 Cubic Inches Per Minute:

   • Convert to tablespoons per second: $\frac{20\, \text{in}^3}{\text{min}} \times \frac{1.108225\, \text{tbsp}}{60\, \text{s}} = \frac{22.1645\, \text{tbsp}}{60 \, \text{s}} = 0.36941\, \text{tbsp/s}$

3. 100 Cubic Inches Per Minute:

   • Convert to tablespoons per second: $\frac{100\, \text{in}^3}{\text{min}} \times \frac{1.108225\, \text{tbsp}}{60\, \text{s}} = \frac{110.8225\, \text{tbsp}}{60\, \text{s}} \approx 1.847 \, \text{tbsp/s}$

Real-World Applications:

1. Inkjet Printer:

   • Some advanced industrial inkjet printers eject ink at rates around 10 cubic inches per minute. Conversion: $\frac{10\, \text{in}^3}{\text{min}} \times 0.01847\, \text{tbsp/s} = 0.1847\, \text{tbsp/s}$

2. Small Fuel Pump:

   • A small engine fuel pump might have a flow rate of around 50 cubic inches per minute. Conversion: $\frac{50\, \text{in}^3}{\text{min}} \times 0.01847\, \text{tbsp/s} = 0.9235\, \text{tbsp/s}$

3. Hydraulic System:

   • A larger hydraulic system might operate at 200 cubic inches per minute. Conversion: $\frac{200\, \text{in}^3}{\text{min}} \times 0.01847\, \text{tbsp/s} = 3.694\, \text{tbsp/s}$

These examples illustrate the conversion and application of the volume flow rate in different contexts.