Problem 3.92 - ρ ice V tot ⋅ g ⋅ ρ sw g ⋅ V d ⋅ =...

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Problem *3.92 [Difficulty: 2] Given: Iceberg floating in seawater Find: Quantify the statement, "Only the tip of an iceberg shows (in seawater)." Solution: We will apply the hydrostatics equations to this system. Governing Equations: F buoy ρ g V d = (Buoyant force is equal to weight of displaced fluid) F buoy Mg Assumptions: (1) Static fluid (2) Incompressible fluid Taking a free body diagram of the iceberg: Σ F z 0 = M g F buoy + 0 = Mg F buoy = ρ sw g V d = But the mass of the iceberg is also: M ρ ice V tot = Combining these expressions:
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Unformatted text preview: ρ ice V tot ⋅ g ⋅ ρ sw g ⋅ V d ⋅ = V d V tot ρ ice ρ sw ⋅ = V tot SG ice SG sw ⋅ = The volume of the iceberg above the water is: V show V tot V d − = V tot 1 SG ice SG sw − ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ ⋅ = Therefore we may define a volume fraction: VF V show V tot = 1 SG ice SG sw − = Substituting in data from Tables A.1 and A.2 we get: VF 1 0.917 1.025 − = VF 0.1054 = Only 10% of the iceberg is above wate...
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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