Q1. At a draught of 1.0 m in sea water of density 1025 kg/m3 the displacement of a ship is 900 tonne and the height of the centre of buoyancy above the keel (KB) is 0.6 m.
Values of tonne per centimetre immersion (TPC) in sea water for a range of draughts
are given in Table Q1.
(a) Calculate EACH of the following for a draught of 6.0 m in sea water:
(i) the displacement; (4)
(ii) the height of the centre of buoyancy above the keel (KB). (6)
(b) At a draught of 6.0 m, the height of the longitudinal metacentre above the keel (KML) is 128 m and the second moment of area of the waterplane about a transverse axis through midships is 996728 m4.
The centre of flotation is aft of midships.
Calculate the distance of the centre of flotation (LCF) from midships. (6)
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