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Class 4 (4th Engineer) SC&S 📅 Jul 2025

Exam Question

(a) Explain why the TPC for a given draught will vary with the density of the water in which the ship floats. (6) 

(b) A box shaped ship with 12m beam is floating upright at a draft of 6.7 m. Find the increase in draft if the vessel is now listed 18 degrees. (10) 

Exam question diagram

Reference Answer

### Part (a): TPC Variation with Water Density (6 Marks)
#### 1. Definition of TPC
TPC, or Tonnes per Centimetre Immersion, is defined as the mass in tonnes that must be added to or removed from a ship to change its mean draught by one centimetre.
#### 2. Derivation of the TPC Formula

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