Class 4 (4th Engineer) SC&S 📅 Dec 2022

Exam Question

(a) Explain why the draught of a ship decreases when it passes from fresh water to seawater and vice versa. (6)

(b) A ship of 14000 tonne displacement, 130 m long, floats at a draught of 8 m. Calculate the wetted surface area of the ship using: (10)

(i) Denny's formula

(ii) Taylor's formula with c = 2.58

Reference Answer

### (a) Change in Draught with Water Density
#### 1. Fundamental Principle: Law of Flotation
The behavior of a ship when moving between waters of different densities is governed by Archimedes' Principle and the Law of Flotation. This law states that a floating body displaces a weight of fluid equal to its own weight.
The ship's total weight, known as its displacement (Δ), remains constant regardless of the water it is in. The relationship is expressed as:

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