Question

If your front lawn is 22.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1350 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? assume an average snow flake has a mass of 1.90 mg.

Answer 1

The first thing we must do for this case is find the grass area:

`A = (22) * (20) A = 440 feet ^ 2`
We are now looking for the quantity of snowflakes:

`(440) * (1350) = 594000 snow flakes / minutes`
We consider the following conversion:

`1 hour = 60 minutes`
Therefore, after 1 hour we have:

`(594000) * (60) = 35640000 snow flakes / hours`
We consider the following conversion:

`1 kilogram = 1000000 miligrams`
Therefore, as the mass is 1.90 mg then:

`(35640000) * (1.90) * (1/1000000) = 67.716 Kg`
Answer:
67.716 Kg of snow accumulates on your lawn per hour