Exam Question
Q4
Explain how the period of roll varies with:
(a) The amplitude of roll.
(b) The radius of gyration.
(c) The initial metacentric height.
(d) The location of masses in the ship
Class 2 (2nd Engineer)
SC&S
📅 Jan 2026
Reference Answer
### Introduction
The period of roll (T) is the time taken for a complete transverse oscillation of a ship, from one side to the other and back again. The fundamental formula governing this motion for small angles is derived from the principles of Simple Harmonic Motion (SHM).
### Governing Formula
The period of roll for small angles of heel is given by:
The period of roll (T) is the time taken for a complete transverse oscillation of a ship, from one side to the other and back again. The fundamental formula governing this motion for small angles is derived from the principles of Simple Harmonic Motion (SHM).
### Governing Formula
The period of roll for small angles of heel is given by:
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