How does the oscillation period of a floating body change when its metacentric height is increased_________________?
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Answer: C. lower
Explanation
The oscillation period of a floating body is inversely proportional to the square root of its metacentric height. A higher metacentric height increases restoring righting moments, causing the body to snap back faster from tilts. Faster restoring motions result in a lower oscillation period, making the floating structure roll more abruptly. Metacentric height is the distance between a floating body's center of gravity and its metacenter point. Rolling oscillation periods in marine architecture depend directly on mass moment of inertia and metacentric height. Excessive metacentric height causes uncomfortable, rapid rolling motions that endanger shipboard equipment and crew.
Option A suggests the period remains the same, ignoring the mathematical square root inverse proportionality. Option B incorrectly implies that increased metacentric height lengthens the time required to complete a roll. Option D incorrectly introduces body weight dependency, whereas period relies primarily on mass distribution and height.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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