Cubic inches per minute to Decilitres per second conversion

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

To convert cubic inches per minute (in³/min) to decilitres per second (dL/s), you need to go through a series of unit conversions. Let's break it down step by step.

Conversion Steps:

1. Convert cubic inches to cubic centimeters (cm³): $1 \text{ cubic inch} = 16.387064 \text{ cubic centimeters}$ Therefore, $\text{1 in³/minute} = 16.387064 \text{ cm³/minute}$

2. Convert cubic centimeters to liters: $1 \text{ liter} = 1000 \text{ cm³}$ So, $16.387064 \text{ cm³} = 0.016387064 \text{ liters}$

3. Convert liters per minute to decilitres per minute: $1 \text{ liter} = 10 \text{ decilitres}$ Hence, $0.016387064 \text{ liters} = 0.16387064 \text{ decilitres}$

4. Convert decilitres per minute to decilitres per second: $1 \text{ minute} = 60 \text{ seconds}$ Therefore, $\frac{0.16387064 \text{ decilitres per minute}}{60 \text{ seconds}} = 0.0027311773 \text{ decilitres per second}$

So, $1 \text{ in³/min} \approx 0.0027311773 \text{ dL/s}$

Real-World Examples:

1. Small Water Pump: If you have a small water pump that delivers 30 cubic inches per minute: $30 \text{ in³/min} \times 0.0027311773 \text{ dL/s per in³/min} \approx 0.08193532 \text{ dL/s}$

2. Aquarium Filter: Suppose an aquarium filter has a flow rate of 100 cubic inches per minute: $100 \text{ in³/min} \times 0.0027311773 \text{ dL/s per in³/min} \approx 0.27311773 \text{ dL/s}$

3. Laboratory Equipment: A piece of laboratory equipment might dispense a fluid at 10 cubic inches per minute: $10 \text{ in³/min} \times 0.0027311773 \text{ dL/s per in³/min} \approx 0.027311773 \text{ dL/s}$

4. Drip Irrigation System: A drip irrigation system could have a flow rate of 60 cubic inches per minute: $60 \text{ in³/min} \times 0.0027311773 \text{ dL/s per in³/min} \approx 0.16387064 \text{ dL/s}$

By following the step-by-step conversion process, you can easily convert any cubic inches per minute rate to decilitres per second and understand its real-world implications.