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A rectangular pontoon is 5 m long, 3 m wide and 1.40 m high. The depth of immersion of the pontoon is 0.60 m in seawater. If the centre of gravity is 0.7 m above the bottom of the pontoon, determine the metacentric height. The density for seawater = 1045 kg/m^3.

(a) 0.135

(b) 0.271

(c) 0.543

(d) 0.068

This question was addressed to me during an internship interview.

My doubt stems from Metacentre and Metacentric Height in portion Buoyancy and Floatation of Fluid Mechanics

1 Answer

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Right answer is (a) 0.135

Explanation: BG=Centre of pontoon – Centre of immersed portion=0.7-0.3=0.4

                     Metacentric height=I/∀ -BG

                     I=bd³/12 = 5*3³/12

                     ∀=5*3*1.4

                     Metacentric height=0.135 m.

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