Q1. A vessel of 7520 tonne displacement floats In sea water of density 1025 kg/m3. A wing deep tank on the vessel is 8 m long, 6 m deep and has a constant plan area formed by the transverse end bulkheads and a longitudinal bulkhead, parallel to and 4 m from the centreline of the ship.
The equally spaced transverse ordinates defining this area are as follows:
4.00, 3.90, 3.70, 3.40 and 3.00 metres. The base of the tank is 1.2 m above the keel. With the deep tank full of Oil of density 900 kg/m3, the ship floats upright with a metacentric height of 0.5 m.
40% of the oil in the deep tank is now removed.
Calculate EACH Of the following, assuming the KM remains constant at 5.0 m:
(a) the final effective metacentric height; (14)
(b) the final angle of heel. (2)
SIMSON'S RULE:
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