Cubic Millimeters per second to Cubic inches per second conversion

How to convert cubic millimeters per second to cubic inches per second?

To convert cubic millimeters per second (mm³/s) to cubic inches per second (in³/s), you need to use the conversion factor between cubic millimeters and cubic inches.

1 cubic inch (in³) is equal to 16,387.064 cubic millimeters (mm³).

Therefore, to convert from mm³/s to in³/s, you use the following formula:

$\text{Value in in³/s} = \text{Value in mm³/s} \times \left(\frac{1 \text{ in³}}{16,387.064 \text{ mm³}}\right)$

This simplifies to:

$\text{Value in in³/s} = \text{Value in mm³/s} \times 6.102373 \times 10^{-5}$

So, to convert 1 mm³/s to in³/s:

$1 \text{ mm³/s} \times 6.102373 \times 10^{-5} = 6.102373 \times 10^{-5} \text{ in³/s}$

Here are a few examples of other quantities of cubic millimeters per second converted to cubic inches per second, using the same conversion factor:

1. 10 mm³/s: $10 \text{ mm³/s} \times 6.102373 \times 10^{-5} = 6.102373 \times 10^{-4} \text{ in³/s}$

2. 100 mm³/s: $100 \text{ mm³/s} \times 6.102373 \times 10^{-5} = 6.102373 \times 10^{-3} \text{ in³/s}$

3. 1,000 mm³/s: $1,000 \text{ mm³/s} \times 6.102373 \times 10^{-5} = 6.102373 \times 10^{-2} \text{ in³/s}$

4. 10,000 mm³/s: $10,000 \text{ mm³/s} \times 6.102373 \times 10^{-5} = 6.102373 \times 10^{-1} \text{ in³/s}$

5. 100,000 mm³/s (which is 100 cm³/s): $100,000 \text{ mm³/s} \times 6.102373 \times 10^{-5} = 6.102373 \text{ in³/s}$

Real-World Examples

1. Small Water Flow: A small drop of water from a dripping faucet might have a flow rate of around 10 mm³/s, which is about 6.102373 × 10⁻⁴ in³/s.

2. Microfluidic Devices: Microfluidic devices, which are used in fields like medical diagnostics and chemical engineering, often deal with flow rates on the order of 100 mm³/s, equivalent to about 6.102373 × 10⁻³ in³/s.

3. Inkjet Printers: An inkjet printer head typically ejects ink at a rate of around 1,000 mm³/s, or about 0.061 in³/s.

4. Laboratory Pipettes: Laboratory pipettes might dispense liquids at rates ranging from 100 mm³/s to 1,000 mm³/s, depending on the setting and the specific pipette, corresponding to 0.0061 in³/s to 0.061 in³/s.

These conversions and examples can help you understand and visualize the flow rates in different units and contexts.