Pints per second to Cubic inches per hour conversion

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

To convert from pints per second (pints/s) to cubic inches per hour (in³/h), you need to follow these steps:

1. Identify the conversion factors:

• 1 pint (US liquid) = 28.875 cubic inches.
• 1 hour = 3600 seconds.

2. Set up the conversion:

• Start by converting pints per second to pints per hour.
• Then convert pints to cubic inches.

Step 1: Convert pints per second to pints per hour:

$\text{Pints per hour} = \text{Pints per second} \times \text{Seconds per hour}$

$\text{Pints per hour} = 1 \, \text{pint/second} \times 3600 \, \text{seconds/hour}$

$\text{Pints per hour} = 3600 \, \text{pints/hour}$

Step 2: Convert pints per hour to cubic inches per hour:

$\text{Cubic inches per hour} = \text{Pints per hour} \times \text{Cubic inches per pint}$

$\text{Cubic inches per hour} = 3600 \, \text{pints/hour} \times 28.875 \, \text{cubic inches/pint}$

$\text{Cubic inches per hour} = 103,950 \, \text{cubic inches/hour}$

So, 1 pint per second is equal to 103,950 cubic inches per hour.

Real-world examples for other quantities of Pints per second:

1. Fire Hose: A typical fire hose might discharge water at a rate of 10 pints per second.

   • Conversion: $10 \, \text{pints/second} = 10 \times 103,950 \, \text{in}^3/\text{h} = 1,039,500 \, \text{in}^3/\text{h}$

2. Garden Hose: A garden hose might release water at a rate of about 0.2 pints per second.

   • Conversion: $0.2 \, \text{pints/second} = 0.2 \times 103,950 \, \text{in}^3/\text{h} = 20,790 \, \text{in}^3/\text{h}$

3. Industrial Pump: Some industrial pumps can move fluids at a rate of 50 pints per second.

   • Conversion: $50 \, \text{pints/second} = 50 \times 103,950 \, \text{in}^3/\text{h} = 5,197,500 \, \text{in}^3/\text{h}$

4. Human Drinking: A person might drink water at a rate of approximately 0.01 pints per second while taking big sips.

   • Conversion: $0.01 \, \text{pints/second} = 0.01 \times 103,950 \, \text{in}^3/\text{h} = 1,039.5 \, \text{in}^3/\text{h}$

5. Waterfall: A small waterfall might pour at a rate of about 5 pints per second.

   • Conversion: $5 \, \text{pints/second} = 5 \times 103,950 \, \text{in}^3/\text{h} = 519,750 \, \text{in}^3/\text{h}$

These examples illustrate the range of flow rates you might encounter in various scenarios, demonstrating how useful it is to be able to convert between units like pints per second and cubic inches per hour.