Cubic Millimeters per second to Cubic inches per hour conversion

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

To convert from cubic millimeters per second (mm³/s) to cubic inches per hour (in³/hr), you need to follow a conversion process between the two units. Here’s how you can do it step-by-step:

1. Convert cubic millimeters to cubic inches:

   • There are approximately 16,387.064 cubic millimeters in one cubic inch. So, to convert mm³ to in³, divide by 16,387.064.

2. Convert seconds to hours:

   • There are 3,600 seconds in one hour. So, to convert a flow rate in cubic millimeters per second to cubic inches per hour, you multiply by 3,600.

Combine both conversions in a single formula: $\text{Value in in³/hr} = \left( \frac{\text{value in mm³/s}}{16387.064} \right) \times 3600$

Using this formula, let’s convert 1 mm³/s to in³/hr: $\text{Value in in³/hr} = \left( \frac{1 \, \text{mm}³/\text{s}}{16387.064} \right) \times 3600$

$\text{Value in in³/hr} = \left( \frac{1}{16387.064} \right) \times 3600$

$\text{Value in in³/hr} \approx 0.2197 \, \text{in}³/\text{hr}$

So, 1 mm³/s is approximately 0.2197 in³/hr.

Real World Examples of Cubic Millimeters per Second

• Blood Flow Rates: For small blood vessels, such as capillaries, flow rates can be on the order of a few cubic millimeters per second.

  • E.g., A blood flow rate of 3 mm³/s through a capillary converts to approximately 0.659 in³/hr.

• Microfluidic Devices: These devices often handle precise fluid flow rates in the range of 1 to 100 mm³/s for lab-on-a-chip applications.

  • E.g., A flow rate of 50 mm³/s converts to approximately 10.98 in³/hr.

• Inkjet Printers: The amount of ink being deposited on paper per second can be in the cubic millimeter range.

  • E.g., An inkjet printer flowing ink at 5 mm³/s converts to approximately 1.099 in³/hr.

• Pipetting in Laboratories: Automated pipetting systems might dispense liquids at rates of a few hundred cubic millimeters per second.

  • E.g., A pipetting system with a rate of 200 mm³/s converts to approximately 43.94 in³/hr.

These examples illustrate the importance of understanding and converting flow rates in different units based on the context of the application.