## How Many Gallons of Water Did You Shovel?

My answer to Mike Sirowich's (Physics Teacher Extraordinaire at SHS) Physics Tweet from 2/9/13 (SHScatphysics) regarding how many gallons of water did you shovel came out to be 6355 gallons. The solution takes in many assumptions of course. On average a little over 2 feet of snow fell in our driveway. Also, I have an irregular shaped driveway that is 190 ft long and varying widths.The approximate dimensions that I removed was as follows:

**130 x 7.5 = 975 ft2**

**28 x 60. = 1680 ft2**

**The total area = 2655 ft2**

Now to add the third dimension and the most varied assumption, the snow to water conversion. Online I found two common conversions: 1 inch water to 10 inches of snow and the more common 1 inch water to 6.25 inches of snow. It really depends on the type of snow that falls. My son's experiments came up with 1 inch of water to 5 inches of snow which is more inline with the 1 to 6.25 conversion so I will use that as the conversion factor.

**1) Convert snow to water: 24 in of snow/6.25 = 3.84 in of water**

2) Convert inches of water to feet: 3.84 in of water/12 = 0.32 ft of water

2) Convert inches of water to feet: 3.84 in of water/12 = 0.32 ft of water

**3) Calculate volume: 2655 x 0.32 = 849.6 ft3**

Finally convert the volume from cubic feet to gallons (1 cubic foot = 7.48 gal):

**849.6**

**ft3**

**x 7.48 gal = 6355 gallons of water**

**In science (as well as the rest of the world) we use the Metric System so (1 gal = 3.78 L):**

**24,022 L**

6355 gallons of water x 8.34 pounds per gallon=53,000lb or 26.5 tons. So you moved 26.5 tons of water.

ReplyDeleteIn metric, 24,022 kg, as a liter equals a kg.

Yeah, I am paying for it now!

ReplyDelete