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An automatic sprinkler applies water a “density” of 0.3 gal/min/ft2 Convert this to SI units.

User Towynlin
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To convert the water density from gallons per minute per square foot (gal/min/ft²) to SI units, you'll need to convert both the volume (gallons) and time (minutes) to their SI counterparts. Here are the conversions you'll need:

1 U.S. gallon (gal) is approximately equal to 3.78541 liters (L).
1 minute (min) is equal to 60 seconds (s).
1 square foot (ft²) is equal to approximately 0.092903 square meters (m²).

Now, let's convert:

1. Convert gallons to liters:
\[0.3 \, \text{gal/min/ft²} \times 3.78541 \, \text{L/gal} = 1.135623 \, \text{L/min/ft²}\]

2. Convert minutes to seconds:
\[1.135623 \, \text{L/min/ft²} \times \frac{1}{60} \, \text{min/s} = 0.01892705 \, \text{L/s/ft²}\]

3. Convert square feet to square meters:
\[0.01892705 \, \text{L/s/ft²} \times 0.092903 \, \text{m²/ft²} = 0.00176102 \, \text{L/s/m²}\]

So, the water density in SI units is approximately 0.00176102 liters per second per square meter (L/s/m²).
User Knaus Irina
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