Q12. A vessel of 10000 tonne displacement floats in sea water of density 1025 kg/m3.
A wing deep tank on the vessel is 16 m long, 8 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 centerline of the ship. The equally spaced transverse ordinates defining the plan area are as follows:
4.00, 3.80, 3.50, 3.00 and 2.50 meters.
The base of the tank is 2.0 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 0.725 m.
Half of the oil in the deep tank is now removed.
Calculate EACH of the following, assuming the KM remains constant at 5.125 m:
(a) The final effective metacentric height;
(b) The final angle of heel.
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