Question 2534 Deck Safety
70% to passYour vessel measures 125 feet long by 17 feet in beam. If the natural rolling period at a draft of 7'-09" is 6 seconds, what is the GM?
A
0.95 foot
B
1.25 feet
C
1.55 feet
D
1.78 feet
AI Explanation
The correct answer is C) 1.55 feet. To calculate the GM (metacentric height), we can use the formula: GM = (T^2 * g) / (2 * pi^2 * L), where T is the natural rolling period (6 seconds), g is the acceleration due to gravity (32.2 ft/s^2), and L is the length of the vessel (125 feet). Plugging in the values, we get: GM = (6^2 * 32.2) / (2 * pi^2 * 125) = 1.55 feet. The other options are incorrect because they do not match the calculated value of 1.55 feet for the given vessel dimensions and natural rolling period.
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