Cubic inches per minute to Millilitres per second conversion

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

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

1. Convert cubic inches to milliliters:

   • 1 cubic inch is equal to approximately 16.387 milliliters (since 1 inch = 2.54 centimeters, thus 1 in³ = (2.54 cm)³ = 16.387 cm³ = 16.387 mL).

2. Convert minutes to seconds:

   • 1 minute is equal to 60 seconds.

3. Combine these conversions:

   • Given 1 cubic inch per minute, we need to convert that to milliliters per second.

Here’s the step-by-step calculation:

$\text{1 in³/min} = \text{1 in³} \times \left(\frac{16.387 mL}{\text{1 in³}}\right) \times \left(\frac{1 \text{ min}}{60 \text{ s}}\right)$

$\text{1 in³/min} = 16.387 \text{ mL/min} \div 60 \text{ s}$

$\text{1 in³/min} ≈ 0.273 mL/s$

So, 1 cubic inch per minute is approximately 0.273 milliliters per second.

Real-World Examples for Other Quantities of Cubic Inches per Minute

1. 5 in³/min:

   • Converting 5 in³/min to mL/s: $5 \text{ in³/min} = 5 \times 16.387 \text{ mL/min} \div 60 \text{ s} ≈ 1.367 mL/s$

2. 20 in³/min:

   • Converting 20 in³/min to mL/s: $20 \text{ in³/min} = 20 \times 16.387 \text{ mL/min} \div 60 \text{ s} ≈ 5.462 mL/s$

3. 100 in³/min:

   • Converting 100 in³/min to mL/s: $100 \text{ in³/min} = 100 \times 16.387 \text{ mL/min} \div 60 \text{ s} ≈ 27.312 mL/s$

Real-World Scenarios:

1. Aquarium Filters:

   • Small aquarium filters might have a flow rate of around 10 cubic inches per minute. This would convert to roughly: $10 \text{ in³/min} ≈ 2.731 mL/s$

2. Perfume Dispensers:

   • A perfume atomizer that dispenses 1 cubic inch per minute would dispense: $1 \text{ in³/min} ≈ 0.273 mL/s$

3. Fuel Injection in Engines:

   • In detailed automotive applications, fuel injectors might be rated based on flow rates. For instance, an injector at 50 in³/min would provide: $50 \text{ in³/min} ≈ 13.656 mL/s$

Understanding these conversions helps in various applications such as engineering design, fluid dynamics, environmental science, and more.