Cubic inches per minute to Cubic Millimeters per second conversion

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

To convert cubic inches per minute (in³/min) to cubic millimeters per second (mm³/s), you need to follow these steps:

1. Understand the Unit Conversions:

   • There are $16.387064$ cubic millimeters in one cubic inch.
   • There are $60$ seconds in a minute.

2. Conversion Steps:

   • First, convert cubic inches to cubic millimeters.
   • Then convert the time from minutes to seconds.

Let's convert $1 \; \text{in}^3/\text{min}$ to $\text{mm}^3/\text{s}$:

• Calculate the volume in cubic millimeters: $1 \; \text{in}^3 = 1 \times 16.387064 \; \text{mm}^3 = 16.387064 \; \text{mm}^3$

• Convert the time from minutes to seconds: $1 \; \text{in}^3/\text{min} = 16.387064 \; \text{mm}^3/\text{min}$

• Since there are $60$ seconds in a minute, convert the unit rate to per second: $\text{Flow Rate} = \frac{16.387064 \; \text{mm}^3}{60 \; \text{s}} \approx 0.273117733 \; \text{mm}^3/\text{s}$

So, 1 cubic inch per minute is approximately $0.273117733 \; \text{mm}^3/\text{s}$.

Real-World Examples of Other Quantities of Cubic Inches Per Minute

1. Small Air Pumps:

   • Example: An aquarium air pump might have a flow rate of about 10 cubic inches per minute.
   • Conversion: $10 \; \text{in}^3/\text{min}$ to $\text{mm}^3/\text{s}$: $10 \times 16.387064 \; \text{mm}^3/\text{min} = 163.87064 \; \text{mm}^3/\text{min}$ $\frac{163.87064 \; \text{mm}^3}{60 \; \text{s}} \approx 2.73117733 \; \text{mm}^3/\text{s}$

2. Medium Size Water Pumps:

   • Example: A small pond pump might have a flow rate of around 120 cubic inches per minute.
   • Conversion: $120 \; \text{in}^3/\text{min}$ to $\text{mm}^3/\text{s}$: $120 \times 16.387064 \; \text{mm}^3/\text{min} = 1966.44768 \; \text{mm}^3/\text{min}$ $\frac{1966.44768 \; \text{mm}^3}{60 \; \text{s}} \approx 32.774128 \; \text{mm}^3/\text{s}$

3. Industrial Air Compressors:

   • Example: An industrial compressor might have a flow rate of 1500 cubic inches per minute.
   • Conversion: $1500 \; \text{in}^3/\text{min}$ to $\text{mm}^3/\text{s}$: $1500 \times 16.387064 \; \text{mm}^3/\text{min} = 24580.596 \; \text{mm}^3/\text{min}$ $\frac{24580.596 \; \text{mm}^3}{60 \; \text{s}} \approx 409.6766 \; \text{mm}^3/\text{s}$

By following these conversion steps, you can translate cubic inches per minute to cubic millimeters per second for any given quantity.