A large metacentric height in a vessela)improves stability and makes p...
The metacentric height is an important parameter in naval architecture and ship stability. It is a measure of the initial stability of a floating vessel and determines how easily a ship can return to its upright position after being tilted by an external force. The metacentric height is defined as the distance between the metacenter and the center of gravity of the ship.
The metacenter is the intersection point of the line of action of the buoyant force with the centerline of the ship, and it represents the effective center of buoyancy when the ship is inclined. The center of gravity, on the other hand, is the point at which the entire weight of the ship can be considered to act vertically downward.
Improves Stability:
A large metacentric height indicates a greater distance between the metacenter and the center of gravity. This means that when the ship is tilted, a larger lever arm is created, resulting in a greater restoring moment that acts to return the ship to its upright position. Therefore, a large metacentric height improves stability by making it more difficult for the ship to capsize or roll over.
Makes Periodic Time of Oscillation Shorter:
The periodic time of oscillation, also known as the natural period of roll, is the time it takes for a ship to complete one full cycle of rolling motion when disturbed from its equilibrium position. A large metacentric height reduces the natural period of roll, making the ship's oscillations faster. This is because the greater lever arm created by the large metacentric height results in a larger moment of inertia, which in turn leads to faster oscillations.
Overall, a large metacentric height improves stability by increasing the restoring moment acting on the ship and makes the periodic time of oscillation shorter, resulting in faster roll motion. This is why option 'D' is the correct answer. It is important to note that while a large metacentric height improves stability, it can also lead to a more uncomfortable ride for passengers due to the increased roll motion. Therefore, naval architects must carefully consider the trade-offs between stability and comfort when designing ships.
A large metacentric height in a vessela)improves stability and makes p...
D
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).