Cubic inches per hour to Cubic Millimeters per second conversion

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

Converting from cubic inches per hour (in³/hr) to cubic millimeters per second (mm³/s) involves a few steps. Let's walk through the conversion process for 1 cubic inch per hour as an example.

Conversion Process

Step 1: Convert Cubic Inches to Cubic Millimeters

1 inch is equal to 25.4 millimeters. Since this is a volume conversion, we're working in cubic units:

$1 \text{ cubic inch} = (25.4 \text{ mm})^3$

Calculating the cubic millimeters in one cubic inch:

$1 \text{ in}^3 = (25.4 \text{ mm}) \times (25.4 \text{ mm}) \times (25.4 \text{ mm})$

$1 \text{ in}^3 = 16,387.064 \text{ mm}^3$

Step 2: Convert Hours to Seconds

1 hour is equal to 3600 seconds:

$1 \text{ hour} = 3600 \text{ seconds}$

Step 3: Combine the Conversions

Now, we need to express the flow rate in terms of cubic millimeters per second:

$\frac{1 \text{ in}^3 \text{ per hour}}{3600 \text{ seconds}}$

We already know that 1 in³ is 16,387.064 mm³:

$1 \text{ in}^3/\text{hr} = \frac{16,387.064 \text{ mm}^3}{3600 \text{ seconds}}$

Finally, perform the division:

$1 \text{ in}^3/\text{hr} = 4.5525 \text{ mm}^3/\text{s}$

So, 1 cubic inch per hour is equivalent to approximately 4.5525 cubic millimeters per second.

Real-World Examples

Here are a few more examples for other quantities:

Example 1: 10 Cubic Inches per Hour

Convert 10 cubic inches per hour to cubic millimeters per second:

$10 \text{ in}^3/\text{hr} = 10 \times 4.5525 \text{ mm}^3/\text{s} = 45.525 \text{ mm}^3/\text{s}$

Example 2: 100 Cubic Inches per Hour

Convert 100 cubic inches per hour to cubic millimeters per second:

$100 \text{ in}^3/\text{hr} = 100 \times 4.5525 \text{ mm}^3/\text{s} = 455.25 \text{ mm}^3/\text{s}$

Example 3: 0.5 Cubic Inches per Hour

For smaller flow rates, convert 0.5 cubic inches per hour:

$0.5 \text{ in}^3/\text{hr} = 0.5 \times 4.5525 \text{ mm}^3/\text{s} = 2.27625 \text{ mm}^3/\text{s}$

Practical Contexts

• Kitchen and Industrial Processes: In recipes or industrial mixing processes, accurate flow rates might need to be converted for precision.
• Engineering Applications: Engineers often deal with fluid dynamics and need to convert units for calculations involving various system designs.
• Medical Dosage and Apparatus: Fluid administration rates in medical settings can be converted for devices that require specific units.

Having this conversion process available helps in ensuring accuracy across various fields requiring precise volumetric flow rates.