Fluids Challenge #4 — Flotation

The iceberg below
the waterline.

Fluids Hard

Problem

An iceberg of density 920 kg/m³ floats in seawater of density 1025 kg/m³. Calculate the percentage of its volume that lies below the waterline.

Ice density\( \rho_{ice} = 920\ \mathrm{kg/m^3} \)
Seawater density\( \rho_{sea} = 1025\ \mathrm{kg/m^3} \)
Conditionfloating in equilibrium
Answer inpercent

Floating means the buoyant force exactly carries the iceberg’s whole weight.

Hint: weight of iceberg = weight of displaced seawater. Write both as \( \rho V g \) and watch everything cancel except a ratio of densities.

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The iceberg belowthe waterline.

Problem