Q1) At a draught of 1.2 m in sea water of density 1025 kg/m3 the displacement of a ship is 1100 tonne and the height of the centre of buoyancy above the keel (KB) is 0.72 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 7.2 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 7.2 m, the height of the longitudinal metacentre above the keel (KML) is 135 m and the second moment of area of the waterplane about a transverse axis through midships is 1289670 m4. The centre of floatation is aft of midships.
Calculate the distance of the centre of floatation (LCF) from midships. (6)
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