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Q2. A ship of 12000 tonne displacement floats in sea water of density 1025 kg/m3 at a draught of 6.2 m.

A rectangular tank 8 m long and 10m wide is partially full of oil fuel of density 900 kg/m3

In this condition, the KG of the ship is 6.3 m.

Other hydrostatic data for the above conditions are:

Centre of buoyancy above the keel (KB) = 3.4 m

Transverse metacentre above the centre of buoyancy (BM) = 4.9 m

Tonnes per centimetre immersion (TPC) = 24.6

A rectangular tank 10m long, 12m wide and 8 m deep, with its base 1m above the keel, is filled to a depth of 6 m with sea water ballast.

Calculate the change in effective metacentric height. (16)

Note: Assume the ship to be wall-sided over the affected range of drought.