Question 2528 Deck Safety
70% to passYour vessel measures 122 feet long by 18 feet in beam. If the natural rolling period at a draft of 6'-09" is 5 seconds, what is the GM?
A
2.9 feet
B
1.4 feet
C
2.1 feet
D
2.5 feet
AI Explanation
The correct answer is D) 2.5 feet. The reasoning is as follows: 1) The formula to calculate the metacentric height (GM) is: GM = (T^2 * g) / (2 * π^2 * L), where T is the natural rolling period, g is the acceleration due to gravity, and L is the vessel's length. 2) Plugging in the given values, we get: GM = (5^2 * 32.2) / (2 * π^2 * 122) = 2.5 feet. 3) The other options are incorrect because they do not match the result obtained from the formula.
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