Pints per hour to Cubic meters per minute conversion

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

Sure, let's break down the conversion of pints per hour to cubic meters per minute in detail.

Conversion Factors

1. Pints to Cubic Meters:

   • There are 473.176 milliliters in a US pint.
   • Since 1 cubic meter = 1,000,000 milliliters, $1 \text{ pint} = \frac{473.176}{1,000,000} \text{ cubic meters}$ $1 \text{ pint} = 4.73176 \times 10^{-4} \text{ cubic meters}$

2. Hours to Minutes:

   • There are 60 minutes in an hour.

Conversion Process

1. Convert pints to cubic meters: $1 \text{ pint per hour} = 4.73176 \times 10^{-4} \text{ cubic meters per hour}$

2. Convert hours to minutes: $4.73176 \times 10^{-4} \text{ cubic meters per hour} = \frac{4.73176 \times 10^{-4}}{60} \text{ cubic meters per minute}$

3. Perform the division: $\frac{4.73176 \times 10^{-4}}{60} = 7.88627 \times 10^{-6} \text{ cubic meters per minute}$

So, 1 pint per hour is approximately $7.88627 \times 10^{-6}$ cubic meters per minute.

Real World Examples

1. Household Fluid Usage:

   • If a household faucet leaks at a rate of 5 pints per hour. $5 \times 7.88627 \times 10^{-6} = 3.943135 \times 10^{-5} \text{ cubic meters per minute}$ $\approx 0.000039 cubic meters per minute$.

2. Industrial Applications:

   • A lubricant system in a factory dispenses 150 pints per hour. $150 \times 7.88627 \times 10^{-6} = 1.18294 \times 10^{-3} \text{ cubic meters per minute}$ $\approx 0.00118 cubic meters per minute$.

3. Agricultural Irrigation:

   • An irrigation system delivers 250 pints per hour. $250 \times 7.88627 \times 10^{-6} = 1.9715675 \times 10^{-3} \text{ cubic meters per minute}$ $\approx 0.00197 cubic meters per minute$.

These examples illustrate how converting between units of volume flow rate helps in various practical settings, from household to industrial and agricultural applications.