Pints per hour to Cubic meters per second conversion

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

To convert pints per hour to cubic meters per second, we need to know the following conversion factors:

1 pint (US) = 0.473176 liters (L) 1 liter = 0.001 cubic meters (m³) 1 hour = 3600 seconds

First, let's convert 1 pint per hour to liters per hour: $1 \text{ pint/hour} = 1 \times 0.473176 \text{ L/hour} = 0.473176 \text{ L/hour}$

Next, we convert liters per hour to cubic meters per hour using the conversion factor: $0.473176 \text{ L/hour} = 0.473176 \times 0.001 \text{ m³/hour} = 0.000473176 \text{ m³/hour}$

Finally, we convert cubic meters per hour to cubic meters per second: $0.000473176 \text{ m³/hour} \div 3600 \text{ seconds/hour} = 1.314376 \times 10^{-7} \text{ m³/s}$

So, 1 pint per hour is approximately equal to $1.314376 \times 10^{-7} \text{ m³/s}$.

Real World Examples for Other Quantities of Pints per Hour

1. 10 pints per hour:

   • Convert to cubic meters per second: $10 \text{ pints/hour} = 10 \times 1.314376 \times 10^{-7} \text{ m³/s} = 1.314376 \times 10^{-6} \text{ m³/s}$

2. 100 pints per hour:

   • Convert to cubic meters per second: $100 \text{ pints/hour} = 100 \times 1.314376 \times 10^{-7} \text{ m³/s} = 1.314376 \times 10^{-5} \text{ m³/s}$

3. 500 pints per hour:

   • Convert to cubic meters per second: $500 \text{ pints/hour} = 500 \times 1.314376 \times 10^{-7} \text{ m³/s} = 6.57188 \times 10^{-5} \text{ m³/s}$

Real-world Context:

• Water Faucet: A typical kitchen faucet might have a flow rate of about 1-2 gallons per minute, which is equivalent to 8 to 16 pints per minute. Converting this to pints per hour, we get 480 to 960 pints per hour. Converting these to cubic meters per second, we get approximately $6.297 \times 10^{-5} \text{ m³/s}$ to $1.259 \times 10^{-4} \text{ m³/s}$.

• Industrial Processes: In a brewery, the flow rate of a liquid ingredient like wort may be measured in pints per hour. If the flow rate is 200 pints per hour, this converts to approximately $2.62875 \times 10^{-5} \text{ m³/s}$.

These conversions help bridge our understanding from familiar everyday units to more scientific ones, enabling a broader application of data in engineering and industrial contexts.