Cubic inches per second to Pints per hour conversion

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

To convert cubic inches per second (in³/s) to pints per hour (pt/h), you need to use the appropriate conversion factors:

1. Cubic inches to pints:

   • There are 1,728 cubic inches in a cubic foot (1 ft³ = 1,728 in³).
   • There are 7.48052 gallons in a cubic foot.
   • There are 8 pints in a gallon.

2. Seconds to hours:

   • There are 3,600 seconds in an hour (1 hour = 3,600 seconds).

Let’s break it down step-by-step for the conversion:

Conversion Steps:

1. Cubic inches to gallons: $\text{gallons} = \text{in}³ \times \left(\frac{1 \text{ ft³}}{1,728 \text{ in}³}\right) \times 7.48052 \frac{\text{gallons}}{\text{ft}³}$ $\text{gallons} = \text{in}³ \times \frac{7.48052}{1,728}$

2. Gallons to pints: $\text{pints} = \text{gallons} \times 8$

3. Converting Cubic inches per second to pints per hour: $\text{pints/hour} = \text{pints/second} \times 3,600 \text{ seconds/hour}$

Let’s put it all together to convert 1 cubic inch per second to pints per hour: $\text{gallons/second} = 1 \text{ in}³ \times \frac{7.48052}{1,728}$ $\text{gallons/second} ≈ 0.004329 \text{ (gallons/second)}$

Then, convert gallons to pints: $\text{pints/second} = 0.004329 \text{ gallons/second} \times 8 \text{ (pints/gallon)}$ $\text{pints/second} ≈ 0.034632 \text{ (pints/second)}$

Finally, convert pints per second to pints per hour: $\text{pints/hour} = 0.034632 \text{ (pints/second)} \times 3,600 \text{ seconds/hour}$ $\text{pints/hour} ≈ 124.635 \text{ (pints/hour)}$

So, 1 cubic inch per second is approximately 124.635 pints per hour.

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

1. Water Faucet Flow:

   • A water faucet with a flow rate of 10 cubic inches per second. $10 \text{ in}³/s ≈ 1,246.35 \text{ pt/h}$

2. Small Pump:

   • A small pump that outputs 5 cubic inches per second. $5 \text{ in}³/s ≈ 623.175 \text{ pt/h}$

3. Industrial Pump:

   • An industrial pump moving 50 cubic inches per second. $50 \text{ in}³/s ≈ 6,231.75 \text{ pt/h}$

4. Irrigation System:

   • An irrigation system delivering 8 cubic inches per second. $8 \text{ in}³/s ≈ 997.08 \text{ pt/h}$

5. Aquarium Filter:

   • An aquarium filter with a flow rate of 2 cubic inches per second. $2 \text{ in}³/s ≈ 249.27 \text{ pt/h}$

These examples illustrate how the conversion can be applied to various flow rates commonly encountered in everyday scenarios.