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Q1. A ship's double bottom tank is divided by an oiltight centre girder to form equal port and starboard tanks. The tanks are 16 m long and have a constant plan area defined by equidistant ordinates from the centre girder to the sides of the ship of:
6.0, 5.5, 4.8, 4.0 and 3.0 metres
At a displacement of 12000 tonne in sea water of density 1025 kg/m³, the centre of gravity is 5.8 m above the keel and both tanks are partially full of oil of density 900 kg/m³ to a depth of 0.8 m.
Calculate the change in effective metacentric height when all of the oil in both tanks has been consumed, assuming the position of the transverse metacentre to remain constant. (16)