Cubic inches per second to Fluid Ounces per hour conversion

How to convert cubic inches per second to fluid ounces per hour?

Certainly! To convert cubic inches per second (in³/s) to fluid ounces per hour (fl oz/hr), you need to follow these steps:

1. Convert cubic inches to fluid ounces: 1 cubic inch is equivalent to approximately 0.554112554 fluid ounces.

2. Convert seconds to hours: 1 hour = 3600 seconds.

Therefore, the conversion factor from in³/s to fl oz/hr is:

$\text{fl oz/hr} = \text{in³/s} \times \left(0.554112554\ \text{fl oz/in³}\right) \times 3600\ \text{s/hr}$

For 1 cubic inch per second:

$1\ \text{in³/s} \times 0.554112554\ \text{fl oz/in³} \times 3600\ \text{s/hr} = 1994.805194\ \text{fl oz/hr}$

So, 1 cubic inch per second is approximately 1994.8 fluid ounces per hour.

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

1. 0.5 cubic inches per second: $0.5\ \text{in³/s} \times 0.554112554\ \text{fl oz/in³} \times 3600\ \text{s/hr} = 997.402597\ \text{fl oz/hr}$ Example: A small kitchen faucet might have a similar flow rate.

2. 2 cubic inches per second: $2\ \text{in³/s} \times 0.554112554\ \text{fl oz/in³} \times 3600\ \text{s/hr} = 3989.610389\ \text{fl oz/hr}$ Example: A moderate irrigation system for a garden.

3. 10 cubic inches per second: $10\ \text{in³/s} \times 0.554112554\ \text{fl oz/in³} \times 3600\ \text{s/hr} = 19948.05194\ \text{fl oz/hr}$ Example: Industrial processes such as chemical manufacturing or large-scale cooling systems.

4. 50 cubic inches per second: $50\ \text{in³/s} \times 0.554112554\ \text{fl oz/in³} \times 3600\ \text{s/hr} = 99740.2597\ \text{fl oz/hr}$ Example: A large fire hose or an industrial water treatment plant.

Each of these examples shows how different flow rates in cubic inches per second translate into fluid ounces per hour, giving a practical understanding of the sizes and scales involved.