2.3.5. Problem 7: Ship Metacentric Height and Rolling Period

Try these first

1. 1.

   What is metacentric height?

   Hint

   Think about how it relates to ship stability.

2. 2.

   How do you define the rolling period?

   Hint

   Consider what happens after a ship tilts.

3. 3.

   What does metacentric height indicate?

   • Stability level
   • Speed of the ship
   • Cargo capacity

   Hint

   Think about what keeps a ship upright.

4. 4.

   Is a high rolling period preferable for ship stability?

   • True
   • False

   Hint

   Consider how quickly a ship returns to an upright position.

5. 5.

   If a ship has a metacentric height of 0.5 m and a rolling period of 18 seconds, determine the relevant radius of gyration.

   Hint

   Follow the formula steps carefully to derive radius.

6. 6.

   Analyze how increasing the mass on a ship affects its GM. Provide calculations with examples.

   Hint

   Consider how the added weight shifts balance in relation to the metacenter.