The buoy in the photograph can be modeled as a circular cylinder of diameter d and mass m. If the buoy is pushed down in the water, which has density ρ, it will oscillate vertically. Determine the frequency of oscillation. Evaluate your result for d = 1.2 m, m = 900 kg, and surface seawater, which has a density of ρ = 1027 kg/m3. Hint: Use Archimedes’ principle, which states that a body wholly or partially submerged in a fluid is buoyed up by a force equal to the weight of the displaced fluid.
Figure P9.16
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