The Hubert H. Humphrey Metrodome in Minneapolis opened in 1982 at a cost of $55

Question

The Hubert H. Humphrey Metrodome in Minneapolis opened in 1982 at a cost of $55 million. To prepare for the footings, et cetera, 300x105 cubic yards of dirt were removed. The Metrodome's inflatable roof covers 10.0 acres and its interior volume is 600x103 cubic feet. During construction, 400x103 cubic yards of concrete, 119x103 tons of reinforcing steel, and 500x102 tons of structural steel were utilized. The roof material includes an outer layer of Teflon-coated glass and an inner layer of woven fiberglass. Given this information, answer the following:

If removed evenly over the 10.0 acres, how deep a hole would be formed as a result of the excavation?

yards

If the two-layer fiberglass roofing material has a mass of 0.667 lbmft2, what is the total mass of the roof?

lbm

If 10.0 inches of wet snow collected on the roof (this happened in 1982), what is the added mass on the roof? (Assume 1 inch of water equals 10 inches of snow).

lbm

Explanation / Answer

(a) 1 acre = 4840 square yards 10 acres = 4840 square yards 300000 cubic yards/4840 square yards = 62 yards (b) 10 acres = 4840 square yards = 43560 sq ft 0.667 lbm/ft^2 times 43560 ft^2 = 29055 lbm (c) Specific weight of water is 62.4 lb/ft^3 Spread to a thickness of 1 inch, this would cover 12 ft^2 So the 10-inch snow cover has a mass of 62.4 lbm/12 ft^2 Then multiply 62.4 lbm/12 ft^2 times 43560 ft^2 = 2.265 x 10^5 lbm

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