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Cubic inches per minute (in³/min) to Cubic meters per minute (m³/min) conversion

Cubic inches per minute to Cubic meters per minute conversion table

Cubic inches per minute (in³/min)	Cubic meters per minute (m³/min)
0	0
1	0.00001638698846677
2	0.00003277397693354
3	0.00004916096540031
4	0.00006554795386708
5	0.00008193494233385
6	0.00009832193080062
7	0.0001147089192674
8	0.0001310959077342
9	0.0001474828962009
10	0.0001638698846677
20	0.0003277397693354
30	0.0004916096540031
40	0.0006554795386708
50	0.0008193494233385
60	0.0009832193080062
70	0.001147089192674
80	0.001310959077342
90	0.001474828962009
100	0.001638698846677
1000	0.01638698846677

How to convert cubic inches per minute to cubic meters per minute?

To convert cubic inches per minute to cubic meters per minute, you need to know the conversion factors between cubic inches and cubic meters.

1 cubic meter (m³) is equivalent to 61,023.7441 cubic inches (in³).

So, to convert cubic inches per minute (in³/min) to cubic meters per minute (m³/min):

$1 \text{ cubic inch} = 1 / 61,023.7441 \text{ cubic meters}$

For 1 cubic inch per minute:

$\text{Value in m³/min} = \text{Value in in³/min} \times \left(\frac{1 \text{ m³}}{61,023.7441 \text{ in³}}\right)$

Plugging in the values:

$1 \text{ in³/min} \times \left(\frac{1 \text{ m³}}{61,023.7441 \text{ in³}}\right) = 1.6387 \times 10^{-5} \text{ m³/min}$

So, 1 cubic inch per minute is approximately $1.6387 \times 10^{-5}$ cubic meters per minute.

Real-World Examples

Small Water Pump/ Fountain:
- A small water fountain pump might have a flow rate of around 100 cubic inches per minute.
- Converting this to cubic meters per minute: $100 \text{ in³/min} \times 1.6387 \times 10^{-5} = 0.0016387 \text{ m³/min}$
Air Compressor:
- A small air compressor might have a flow rate of around 500 cubic inches per minute.
- Converting this to cubic meters per minute: $500 \text{ in³/min} \times 1.6387 \times 10^{-5} = 0.0081935 \text{ m³/min}$
Industrial Machine:
- An industrial coolant system might have a flow rate of around 10,000 cubic inches per minute.
- Converting this to cubic meters per minute: $10,000 \text{ in³/min} \times 1.6387 \times 10^{-5} = 0.16387 \text{ m³/min}$

This shows how these conversions work in practice and gives you a sense of the range of flow rates you might encounter in different scenarios.

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 Cubic meters per minute 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 cubic meters per minute?

Cubic meters per minute ( $m^3/min$ ) is a unit used to express volume flow rate, indicating the volume of a substance that passes through a specific area per minute. It's commonly used to measure fluid flow rates in various applications.

Understanding Cubic Meters per Minute

Cubic meters per minute is derived from two fundamental SI units: volume (cubic meters, $m^3$ ) and time (minutes, min). One cubic meter is the volume of a cube with sides of one meter in length.

The Formula for Volume Flow Rate

Volume flow rate ( $Q$ ) is defined as the volume ( $V$ ) of a fluid passing through a cross-sectional area per unit of time ( $t$ ).

Q = \frac{V}{t}