Cubic inches per minute to Quarts per second conversion

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

To perform the conversion from cubic inches per minute (in³/min) to quarts per second (qt/s), you'll first need to understand the relationship between the units.

Conversion Factors:

1. Cubic inches to quarts:

   • 1 quart (US liquid) = 57.75 cubic inches (approximately).

2. Minutes to seconds:

   • 1 minute = 60 seconds.

Step-by-Step Conversion for 1 Cubic Inch per Minute:

Step 1: Convert Cubic Inches per Minute to Cubic Inches per Second

$\text{Cubic inches per second} = \frac{\text{Cubic inches per minute}}{60}$

For 1 cubic inch per minute: $1 \text{ cubic inch/min} \div 60 = \frac{1}{60} \text{ cubic inches/second}$

Step 2: Convert Cubic Inches per Second to Quarts per Second

$\text{Quarts per second} = \frac{\text{Cubic inches per second}}{57.75}$

For $\frac{1}{60}$ cubic inch per second: $\frac{\frac{1}{60}}{57.75} = \frac{1}{60 \times 57.75} = \frac{1}{3465} \text{ quarts/second}$

So, 1 cubic inch per minute is approximately $\frac{1}{3465}$ quarts per second.

Real World Examples for Other Quantities

1. 12 Cubic Inches per Minute: $12 \text{ in³/min} \times \frac{1}{60 \times 57.75} \text{ qt/s} = \frac{12}{3465} \approx 0.00346 \text{ qt/s}$

2. 100 Cubic Inches per Minute: $100 \text{ in³/min} \times \frac{1}{60 \times 57.75} \text{ qt/s} = \frac{100}{3465} \approx 0.0289 \text{ qt/s}$

3. 800 Cubic Inches per Minute: $800 \text{ in³/min} \times \frac{1}{60 \times 57.75} \text{ qt/s} = \frac{800}{3465} \approx 0.231 \text{ qt/s}$

Example Scenarios:

1. Water Flow in a Smaller Facility:

   • A small pump might have a flow rate of 100 cubic inches per minute. This translates to about 0.0289 quarts per second.

2. Fuel Flow in Automotive Applications:

   • Some fuel pumps in cars have flow rates around 800 cubic inches per minute, translating to roughly 0.231 quarts per second.

By using these conversion steps and examples, you can convert cubic inches per minute to quarts per second for various practical applications.