Pints per hour to Cubic feet per second conversion

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

Certainly! To convert from pints per hour (pint/h) to cubic feet per second (ft³/s), you need to follow a series of unit conversions.

Here's the step-by-step process for converting 1 pint per hour to cubic feet per second:

1. Convert pints to cubic inches:

   • 1 pint (U.S.) = 28.875 cubic inches (in³)

2. Convert cubic inches to cubic feet:

   • 1 cubic foot (ft³) = 1728 cubic inches (in³)

3. Convert hours to seconds:

   • 1 hour = 3600 seconds

Now, let's combine these steps into a single calculation:

$\frac{1 \text{ pint}}{\text{hour}} \times \frac{28.875 \text{ in}^3}{\text{pint}} \times \frac{1 \text{ ft}^3}{1728 \text{ in}^3} \times \frac{1 \text{ hour}}{3600 \text{ seconds}}$

This simplifies to:

$\frac{1 \times 28.875 \times 1}{1728 \times 3600} \text{ ft}^3/\text{s}$

Calculate the numerator and denominator:

Numerator: $1 \times 28.875 \times 1 = 28.875$

Denominator: $1728 \times 3600 = 6220800$

Now, compute the division:

$\frac{28.875}{6220800} \approx 4.64 \times 10^{-6} \text{ ft}^3/\text{s}$

Therefore: $1 \text{ pint per hour} \approx 4.64 \times 10^{-6} \text{ cubic feet per second}$

Real World Examples for Other Quantities of Pints per Hour

1. Fuel Consumption: A small internal combustion engine, such as one found in a lawnmower, may consume about 2 pints of gasoline per hour. In cubic feet per second, this would be: $2 \text{ pint/h} \approx 2 \times 4.64 \times 10^{-6} \text{ ft}^3/\text{s} = 9.28 \times 10^{-6} \text{ ft}^3/\text{s}$

2. Water Flow: A domestic water filter might filter water at a rate of 10 pints per hour. In cubic feet per second: $10 \text{ pint/h} \approx 10 \times 4.64 \times 10^{-6} \text{ ft}^3/\text{s} = 4.64 \times 10^{-5} \text{ ft}^3/\text{s}$

3. Blood Flow: A contrast dye used in medical imaging might be administered at a rate of 0.5 pint per hour. In cubic feet per second: $0.5 \text{ pint/h} \approx 0.5 \times 4.64 \times 10^{-6} \text{ ft}^3/\text{s} = 2.32 \times 10^{-6} \text{ ft}^3/\text{s}$

I hope this helps you understand how to convert pints per hour to cubic feet per second, as well as provides context with real-world examples!