Class 4 (4th Engineer) SC&S 📅 Jan 2023

Exam Question

(a) Derive the formula for Admiralty Coefficient. (6)

(b) A ship travels 900 nautical miles at a speed of 12.5 knots and burns 150t of fuel over the voyage. Estimate the distance the ship could travel at a speed of 13.5 knots on 250t of fuel.

Reference Answer

### (a) Derivation of the Formula for Admiralty Coefficient
The Admiralty Coefficient (C_adm) is an empirical formula used to estimate the power required for a ship at a given speed, or to compare the propulsion efficiency of different ship designs. Its derivation is based on fundamental principles of ship resistance.
**1. Total Ship Resistance ($$R_t$$)**
The total resistance experienced by a ship moving through water is proportional to the water density ($$\rho$$), the wetted surface area of the hull (S), and the ship's speed (V) raised to a certain power (n).

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