Cubic inches per second to Cubic feet per minute conversion

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

To convert cubic inches per second (in³/s) to cubic feet per minute (ft³/min), you need to follow these steps:

1. Convert cubic inches to cubic feet:

   • There are 12 inches in a foot, so there are $12 \times 12 \times 12 = 1,728$ cubic inches in a cubic foot.
   • Therefore, 1 in³ = $\frac{1}{1,728}$ ft³.

2. Convert seconds to minutes:

   • There are 60 seconds in a minute.
   • Therefore, 1 second = $\frac{1}{60}$ minutes.

3. Combine the conversions:

   • To get from in³/s to ft³/min, you combine these two conversion factors: $1 \text{ in³/s} = \left( \frac{1 \text{ in³}}{1 \text{s}} \right) \times \left( \frac{1 \text{ ft³}}{1,728 \text{ in³}} \right) \times \left( \frac{60 \text{ s}}{1 \text{ min}} \right)$

4. Perform the calculation: $1 \text{ in³/s} = \left( \frac{1}{1,728} \right) \times 60 \text{ ft³/min}$ Simplify the calculation: $1 \text{ in³/s} = \frac{60}{1,728} \text{ ft³/min} = \frac{5}{144} \text{ ft³/min} \approx 0.0347 \text{ ft³/min}$

So, 1 cubic inch per second is approximately 0.0347 cubic feet per minute.

Real World Examples for Different Rates of Cubic Inches per Second

1. 0.5 in³/s:

   • Using the conversion factor $\approx 0.0347$: $0.5 \, \text{in³/s} = 0.5 \times 0.0347 \, \text{ft³/min} \approx 0.01735 \, \text{ft³/min}$ Example: Half of a cubic inch per second might represent the flow of a small stream of water from a household faucet turned low.

2. 10 in³/s:

   • Using the conversion factor $\approx 0.0347$: $10 \, \text{in³/s} = 10 \times 0.0347 \, \text{ft³/min} \approx 0.347 \, \text{ft³/min}$ Example: This flow rate could be indicative of a small drainage system dealing with water runoff after a light rain.

3. 50 in³/s:

   • Using the conversion factor $\approx 0.0347$: $50 \, \text{in³/s} = 50 \times 0.0347 \, \text{ft³/min} \approx 1.735 \, \text{ft³/min}$ Example: Such a flow rate might represent the output of an industrial pump moving fluids in a moderate-sized system.

4. 100 in³/s:

   • Using the conversion factor $\approx 0.0347$: $100 \, \text{in³/s} = 100 \times 0.0347 \, \text{ft³/min} \approx 3.47 \, \text{ft³/min}$ Example: A large water-cooling tower in a power plant might operate at this flow rate to dissipate heat effectively.

5. 1,000 in³/s:

   • Using the conversion factor $\approx 0.0347$: $1,000 \, \text{in³/s} = 1,000 \times 0.0347 \, \text{ft³/min} \approx 34.7 \, \text{ft³/min}$ Example: This would be characteristic of significant industrial applications such as large-scale manufacturing processes needing continuous cooling.

By understanding these conversions and examples, you can better grasp the scale and application of various flow rates measured in cubic inches per second.