Respuesta :
1) List known values.
Width: 16.0 ft
Length: 20 ft
Rate of accumulation: 1350 snowflakes/(ft2 * min)
2) List unknown values
Accumulated snow per hour:
3) Accumulated snow (grams) in one square foot of lawn per minute
[tex]\text{Acc}_{snow}=1350\frac{snowflakes}{ft^2\cdot\min}\cdot\frac{1.50mg}{1\text{ snowflake}}\cdot\frac{1\text{ g}}{1000mg}=2.025\frac{g}{ft^2\cdot\min }[/tex]2.025 g is the snow accumulated in one square foot in one minute.
4) Accumulated snow in one square foot per hour
[tex]2.025\frac{g}{ft^2\cdot\min}\cdot\frac{60\min}{1h}=121.5\frac{g}{ft^2\cdot h}[/tex]121.5 g is the snow accumulated in one square foot in one hour.
5) Calculate the area of the lawn
16.0 ft * 20.0 ft = 320 ft2
6) Accumulated snow on the whole lawn in one hour.
[tex]121.5\frac{g}{ft^2\cdot h}\cdot\frac{320ft^2}{1}=38880\frac{g}{h}[/tex]38880 g is the snow accumulated in one hour on the lawn.
7) Convert grams into kilograms
[tex]38880\frac{g}{h}\cdot\frac{1\operatorname{kg}}{1000g}=38.88\frac{\operatorname{kg}}{h}[/tex]38.88kg is the amount of snow accumulated on the lawn in one hour.
