Q1. A ship of length 120 m displaces 11750 tonne when floating in sea water of density 1025 kg/m3. The centre of gravity is 2.5 m above the centre of buoyancy and the waterplane is defined by the following equidistant half-breadths given in Table Q1:
Calculate EACH of the following:
(a) the area of the waterplane; (3)
(b) the position of the centroid of the waterplane from midships; (3)
(c) the second moment of area of the waterplane about a transverse axis through the centroid; (5) (d) the moment to change trim one centimetre (MCT 1 cm), (5)
Q3. A ship of length 130 m is loaded as shown in Table Q3(a).
Table Q3(a)
The following hydrostatic data in Table Q3(b) can be assumed to have a linear relationship between the draughts shown.
Table Q3(b)
Calculate the final end draughts. (16)
Q4. A box shaped Vessel is 80 m long, 12 m wide and floats at a draught of 4 m. A full width midship Compartment 15m tong is bilged. This results in the draught increasing to 4.75 m.
Calculate EACH of the following, using the lost buoyancy method:
(a) the permeability of the compartment; (4)
(b) the Change in metacentric height due to bilging the compartments. (12)
Q7. The following data refer to two geometrically similar ships:
Fig Q7 shows the results of a progressive speed trial for ship A
Calculate the shaft power required for Ship B travelling as a speed of 18.5 knots, given that the propulsive coefficient for both ship is 0.6. (16)
Note: friction coefficient to be used with speed in m/s
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