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Unformatted text preview: What is the area of this approximation? ! = 490 ⋅ 726 + ! ! ⋅ 860 − 490 ⋅ 726 = 490 , 050 !" ! What is the height of the centroid of this approximation? ℎ = !"# ! ⋅ !"# ⋅ !"# ! ! ! ⋅ !"# ! ! ⋅ ( !"# ! !"# ) ⋅ !"# !"# , !"# / !"! ≈ 396 !" The total outward force on the dam at full capacity is 505,245 tons. This is arrived at by the following calculation using the appropriate conversion factors to convert to tons. ! = ! ⋅ ! ⋅ 726 − 396 !" ⋅ 490 , 050 ! ! ! The operating depth of the dam is much less than the maximum capacity. So, the dam is rarely subjected to this force. 860 ft 490 ft 726 ft...
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 Spring '08
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 Calculus, Vector Space, International System of Units

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