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Cubic inches per minute (in³/min) to Tablespoons per second (Tbs/s) conversion

Cubic inches per minute to Tablespoons per second conversion table

Cubic inches per minute (in³/min)	Tablespoons per second (Tbs/s)
0	0
1	0.01847033333333
2	0.03694066666667
3	0.055411
4	0.07388133333333
5	0.09235166666667
6	0.110822
7	0.1292923333333
8	0.1477626666667
9	0.166233
10	0.1847033333333
20	0.3694066666667
30	0.55411
40	0.7388133333333
50	0.9235166666667
60	1.10822
70	1.2929233333333
80	1.4776266666667
90	1.66233
100	1.8470333333333
1000	18.470333333333

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:

Convert cubic inches to tablespoons:
- 1 cubic inch (in³) is equivalent to approximately 1.108225 tablespoons (tbsp).
Convert minutes to seconds:
- 1 minute (min) is equivalent to 60 seconds (s).

Putting these conversions together, follow these steps:

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

5 Cubic Inches Per Minute:
- Convert to tablespoons per second: $\frac{5\, \text{in}^3}{\text{min}} \times \frac{1.108225\, \text{tbsp}}{60\, \text{s}} = \frac{5.541125 \, \text{tbsp}}{60\, \text{s}} = 0.09235 \, \text{tbsp/s}$
20 Cubic Inches Per Minute:
- Convert to tablespoons per second: $\frac{20\, \text{in}^3}{\text{min}} \times \frac{1.108225\, \text{tbsp}}{60\, \text{s}} = \frac{22.1645\, \text{tbsp}}{60 \, \text{s}} = 0.36941\, \text{tbsp/s}$
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:

Inkjet Printer:
- Some advanced industrial inkjet printers eject ink at rates around 10 cubic inches per minute. Conversion: $\frac{10\, \text{in}^3}{\text{min}} \times 0.01847\, \text{tbsp/s} = 0.1847\, \text{tbsp/s}$
Small Fuel Pump:
- A small engine fuel pump might have a flow rate of around 50 cubic inches per minute. Conversion: $\frac{50\, \text{in}^3}{\text{min}} \times 0.01847\, \text{tbsp/s} = 0.9235\, \text{tbsp/s}$
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.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Tablespoons per second to other unit conversions.

What is cubic inches per minute?

What is Cubic Inches per Minute?

Cubic inches per minute (in$^3$/min or CFM) is a unit of measure for volume flow rate. It represents the volume of a substance (typically a gas or liquid) that flows through a given area per minute, with the volume measured in cubic inches. It's a common unit in engineering and manufacturing, especially in the United States.

Understanding Cubic Inches and Volume Flow Rate

Cubic Inches

A cubic inch is a unit of volume equal to the volume of a cube with sides one inch long. It's part of the imperial system of measurement.

Volume Flow Rate

Volume flow rate, generally denoted as $Q$ , is the volume of fluid which passes per unit time. The SI unit for volume flow rate is cubic meters per second ( $m^3/s$ ).

Formation of Cubic Inches per Minute

Cubic inches per minute is formed by combining a unit of volume (cubic inches) with a unit of time (minutes). This describes how many cubic inches of a substance pass a specific point or through a specific area in one minute.

Q = \frac{V}{t}

Where:

$Q$ = Volume flow rate (in$^3$/min)
$V$ = Volume (in$^3$)
$t$ = Time (min)

Applications and Examples

Cubic inches per minute is used across various industries. Here are some real-world examples:

Automotive: Measuring the air intake of an engine or the flow rate of fuel injectors. For instance, a fuel injector might have a flow rate of 100 in$^3$/min.
HVAC (Heating, Ventilation, and Air Conditioning): Specifying the airflow capacity of fans and blowers. A small bathroom fan might move air at a rate of 50 in$^3$/min.
Pneumatics: Determining the flow rate of compressed air in pneumatic systems. An air compressor might deliver 500 in$^3$/min of air.
Manufacturing: Measuring the flow of liquids in industrial processes, such as coolant flow in machining operations. A coolant pump might have a flow rate of 200 in$^3$/min.
3D Printing: When using liquid resins.

Conversions and Related Units

It's important to understand how cubic inches per minute relates to other units of flow rate:

Cubic Feet per Minute (CFM): 1 CFM = 1728 in$^3$/min
Liters per Minute (LPM): 1 in$^3$/min ≈ 0.01639 LPM
Gallons per Minute (GPM): 1 GPM ≈ 231 in$^3$/min

Interesting Facts

While there's no specific law directly associated with cubic inches per minute itself, the underlying principles of fluid dynamics that govern volume flow rate are described by fundamental laws such as the Navier-Stokes equations. These equations, developed in the 19th century, describe the motion of viscous fluids and are essential for understanding fluid flow in a wide range of applications. For more information you can read about it in the following Navier-Stokes Equations page from NASA.

What is Tablespoons per second?

Tablespoons per second (tbsp/s) is a unit measuring volume flow rate – the amount of volume that passes through a given area per unit of time. This particular unit is commonly used to express small or moderate flow rates, especially in cooking, baking, and pharmaceutical contexts.

Understanding Tablespoons

Definition: A tablespoon (tbsp) is a unit of volume in the imperial and US customary systems.
Equivalence:
- 1 tablespoon (US) = approximately 14.8 milliliters (mL)
- 1 tablespoon (UK) = approximately 17.7 milliliters (mL)
- 1 tablespoon = 3 teaspoons
Usage: Tablespoons are frequently used in recipes for measuring ingredients like liquids (oil, sauces) and dry goods (spices, sugar).

Deciphering "per Second"

The "per second" part of the unit indicates the time frame over which the volume of one or more tablespoons is measured.

Meaning: How many tablespoons flow past a certain point in one second.
Implication: A higher value (e.g., 5 tbsp/s) indicates a faster flow rate than a lower value (e.g., 1 tbsp/s).

Tablespoons per Second Formula

Volume flow rate ( $Q$ ) is generally defined as:

Q = \frac{V}{t}