The Hubert pointy H. Humphrey Metrodome in Minneapolis opened in 1982 at a cost

Question

The Hubert pointy H. Humphrey Metrodome in Minneapolis opened in 1982 at a cost of $55 million. To prepare for the footings, et cetera, 3.00x105 cubic yards of dirt were removed. The Metrodome's inflatable roof 10.0 acres and its interior volume is covers cubic feet. During construction, 40.0x10 cubic yards of concrete, 11.9x10 tons of reinforcing steel, and 500r10 tons of structural steel were utilized. The roof material includes an outer layer of Teflon-coated glass and an inner layer of woven fibergass. Given this information, answer the following: lf 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 lberlft2, what is the total mass of the roof? If 10.0 inches roof (this happened in 1982. what is the added mass on the roof? (Assume 1 inch of water of wet snow collected on the equals 10 inches of snow). lb

Explanation / Answer

2) convert the dimensions from centimeters to feets

L=200 cm =6.56 ft

W=155 cm = 5.08 ft

H= 25 cm = 0.82 ft

Now volume, V = L*W*H = 6.56*5.08*0.82 = 27.33 ft3

Given density, d=62.4 lb/ft3

Weight, W = d*V=62.4*27.33= 1705.4 lb

Area=L*W = 6.56*5.08 = 33.32 ft2

Pressure=weight/area = 1705.4/33.32 = 51.2 lb/ft2 =0.355 psi

3)Given F=1.23*103 N and a =7.86 ft/sec2 = 2.4 m/s2

F=ma

from this mass, m=F/a = 1.23*103/2.4= 512.5 kg

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