Question 2522 Deck Safety
70% to passYour vessel measures 127 feet long by 17 feet in beam. If the natural rolling period at a draft of 7'-10" is 5 seconds, what is the GM?
A
2.24 feet
B
2.45 feet
C
1.96 feet
D
2.68 feet
AI Explanation
The correct answer is A) 2.24 feet. The formula to calculate the metacentric height (GM) based on the vessel's natural rolling period and draft is: GM = (T/(2π))^2 * (L/B), where T is the natural rolling period, L is the vessel's length, and B is the vessel's beam. Plugging in the given values, we get: GM = (5/(2π))^2 * (127/17) = 2.24 feet. The other options are incorrect because they do not match the calculated value of 2.24 feet using the formula and the provided vessel dimensions and natural rolling period.
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