Cubic inches per minute to Cups per second conversion

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

To convert from cubic inches per minute to cups per second, we need to follow a conversion process that takes into account the following steps:

1. Convert cubic inches to cups.
2. Convert minutes to seconds.

First, we need to know the conversions:

• There are 14.4375 cubic inches in one cup.
• There are 60 seconds in one minute.

Let's go step-by-step:

1. Convert cubic inches to cups: 1 cubic inch = 1 / 14.4375 cups

2. Convert cubic inches per minute to cubic inches per second: 1 cubic inch per minute = 1 / 60 cubic inches per second

Combining these two steps: $\text{Cups per second} = \left( 1 \frac{\text{cubic inch}}{\text{minute}} \right) \times \left( \frac{1 \text{cup}}{14.4375 \text{cubic inches}} \right) \times \left( \frac{1 \text{minute}}{60 \text{seconds}} \right)$

$\text{Cups per second} = \frac{1}{14.4375 \times 60} \text{cups per second}$

$\text{Cups per second} = \frac{1}{866.25} \text{cups per second}$

$\text{Cups per second} \approx 0.001154 \text{cups per second}$

So, 1 cubic inch per minute is approximately 0.001154 cups per second.

Real-world Examples for Other Quantities of Cubic Inches per Minute:

1. Household Plumbing:

   • A typical kitchen faucet flows at about 1.5 to 2 gallons per minute. To convert for context using cubic inches per minute:
     • 1 gallon = 231 cubic inches.
     • 1.5 gallons per minute = 1.5 \times 231 = 346.5 cubic inches per minute.
     • 2 gallons per minute = 2 \times 231 = 462 cubic inches per minute.

2. Aquarium Pump:

   • An aquarium pump might circulate water at around 100 gallons per hour.
     • Converting hours to minutes: 100 gallons per hour = 100 / 60 gallons per minute.
     • 100 gallons per hour = $\frac{100}{60} \times 231$ cubic inches per minute.
     • ≈ 385 cubic inches per minute.

3. Engine Displacement:

   • An automotive engine might have a displacement rate when idling.
     • Suppose an engine displaces around 50 cubic inches per minute during idle.

4. Industrial Flow:

   • In a factory, if a machine requires lubricant flow at a rate of 10 cubic inches per minute to function properly.

These examples help illustrate the range of applications where cubic inches per minute might need to be considered, and how they would translate to cups per second in some cases.