Exam Question

### (a) Explanation of why TPC varies with water density
**Tonnes Per Centimeter (TPC)** is a crucial hydrostatic parameter in naval architecture and ship stability, representing the mass (in tonnes) required to change the ship's mean draught by one centimetre. For a given draught, the TPC value is directly influenced by the density of the water in which the ship floats due to the fundamental principles of buoyancy.
1. **Definition and Formula of TPC:**
* TPC is defined as the number of tonnes required to immerse or emerge the ship by 1 centimetre. This value is essential for calculating changes in draught due to loading or unloading cargo, consumables, or due to changes in water density.