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Q2) A ship of 10000 tonne displacement floats in sea water of density 1025 kg/m³ at a draught of 6 m.

A rectangluar tank 10 m long and 8 m wide is partially full of oil fuel having a density of 900 kg/m³.

In this condition, the KG of the ship is 6.25 m.

Other hydrostatic data for the above condition are:

Centre of buoyancy above the keel (KB) = 3.325 m

Transverse metacentre above the centre of buoyancy (BM) = 4.865 m

Tonnes per centimetre immersion (TPC)  =  20.5

Calculate the change in effective metacentric height when a rectangular tank 12 m long 10 m wide and 6 m deep, with its base 1 m above the keel, is filled to depth of 5 m with sea water ballast. (16)

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