Cubic feet per hour to Pints per second conversion

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

To convert cubic feet per hour (ft³/hr) to pints per second (pt/s), you can follow these steps:

1. Convert cubic feet per hour to cubic feet per second: There are 3600 seconds in an hour, so to convert from ft³/hr to ft³/s, you divide by 3600.

   $\text{ft³/s} = \frac{\text{ft³/hr}}{3600}$

   For 1 cubic foot per hour:

   $1 \text{ ft³/hr} = \frac{1}{3600} \text{ ft³/s} \approx 0.00027778 \text{ ft³/s}$

2. Convert cubic feet to pints: There are 7.48052 gallons in a cubic foot, and 1 gallon is equivalent to 8 pints.

   $1 \text{ ft³} = 7.48052 \text{ gallons} \times 8 \text{ pints/gallon} = 59.84416 \text{ pints}$

   Therefore,

   $1 \text{ ft³/s} = 59.84416 \text{ pt/s}$

   Convert the result from step 1 to pints per second:

   $\text{pt/s} = 0.00027778 \text{ ft³/s} \times 59.84416 \text{ pt/ft³}$

   $\text{pt/s} \approx 0.01662 \text{ pt/s}$

So, 1 cubic foot per hour is approximately equal to 0.01662 pints per second.

Real-World Examples:

1. Residential Water Usage:

   • A household faucet typically has a flow rate of 3-5 gallons per minute (GPM). Converting 5 GPM:

     $5 \text{ GPM} \times \frac{60}{7.48052} = 40.1583 \text{ ft³/hr}$

2. HVAC Systems:

   • A typical residential HVAC system might have an airflow of around 400 cubic feet per minute (CFM). Converting 400 CFM:

     $400 \text{ CFM} \times 60 = 24000 \text{ ft³/hr}$

3. Natural Gas Flow:

   • An average home furnace might consume around 100 cubic feet per hour of natural gas for heating.

4. Aquarium Water Filters:

   • A large aquarium filter might pump around 200 gallons per hour (GPH). Converting 200 GPH:

     $200 \text{ GPH} \times \frac{1}{7.48052} = 26.74 \text{ ft³/hr}$

These conversions help translate the abstract measure of cubic feet per hour into more tangible real-world examples.