Cubic Centimeters per second to Cubic inches per hour conversion

How to convert cubic centimeters per second to cubic inches per hour?

To convert cubic centimeters per second (cm³/s) to cubic inches per hour (in³/hr), we need to use the following conversion factors:

1. There are $1$ cubic centimeter (cm³) $\approx 0.0610237$ cubic inches (in³).
2. There are $3600$ seconds in an hour (since $1 \text{ hour} = 60 \text{ minutes} \times 60 \text{ seconds}$).

Given: $1 \, \text{cm}^3/\text{s}$

First, convert cubic centimeters per second to cubic inches per second: $1 \, \text{cm}^3/\text{s} \times 0.0610237 \, \text{in}^3/\text{cm}^3 = 0.0610237 \, \text{in}^3/\text{s}$

Next, convert cubic inches per second to cubic inches per hour: $0.0610237 \, \text{in}^3/\text{s} \times 3600 \, \text{s}/\text{hour} \approx 219.68532 \, \text{in}^3/\text{hour}$

Thus: $1 \, \text{cm}^3/\text{s} \approx 219.68532 \, \text{in}^3/\text{hour}$

Real-World Examples for Different Quantities of Cubic Centimeters per Second

1. Bathroom Tap Flow Rate:

   • A standard bathroom tap has a flow rate of approximately 1.25 cm³/s.
   • Conversion to cubic inches per hour: $1.25 \, \text{cm}^3/\text{s} \approx 1.25 \times 219.68532 \, \text{in}^3/\text{hour} \approx 274.60665 \, \text{in}^3/\text{hour}$

2. Aquarium Pump Flow Rate:

   • A small aquarium filter might circulate water at 10 cm³/s.
   • Conversion to cubic inches per hour: $10 \, \text{cm}^3/\text{s} \approx 10 \times 219.68532 \, \text{in}^3/\text{hour} \approx 2196.8532 \, \text{in}^3/\text{hour}$

3. Garden Hose with Nozzle Flow Rate:

   • A garden hose with a high-pressure nozzle can have a flow rate of 50 cm³/s.
   • Conversion to cubic inches per hour: $50 \, \text{cm}^3/\text{s} \approx 50 \times 219.68532 \, \text{in}^3/\text{hour} \approx 10984.266 \, \text{in}^3/\text{hour}$

4. Industrial Water Pump:

   • A large industrial pump might have a flow rate of 5000 cm³/s.
   • Conversion to cubic inches per hour: $5000 \, \text{cm}^3/\text{s} \approx 5000 \times 219.68532 \, \text{in}^3/\text{hour} \approx 1098426.6 \, \text{in}^3/\text{hour}$

By understanding these conversions and real-world examples, we can easily compare and comprehend the flow rates of various hydraulic and fluid systems.