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Q7. A ship of length 160 m, breadth 28 m and a block coefficient of 0.7, floats at a draught of 12 m in sea water of density 1025 kg/m³.

A geometrically similar model 8 m in length, when tested at a speed of 1.6 m/s in fresh water of density 1000 kg/m³ gives a total resistance of 82 N.

appendage allowance = 6 %

weather allowance = 14 %

quasi-propulsive coefficient (QPC) = 0,71

Calculate the service delivered power for the ship at the corresponding speed to that of the model. (16)

Note:

The frictional coefficient for the model in fresh water is 1.69

The frictional coefficient for the ship in sea water is 1.42

Speed is in m/s with index n = 1.825

Wetted surface area (m²) = 2.6 √∆L