Question 2516 Deck Safety
70% to passYour vessel has a displacement of 19,800 tons. It is 464 feet long, and has a beam of 64 feet. You have timed its rolling period to be 21.0 seconds in still water. What is your vessel's approximate GM?
A
1.1 ft
B
1.3 ft
C
1.6 ft
D
1.8 ft
AI Explanation
The correct answer is D) 1.8 ft. To determine the approximate GM (metacentric height) of the vessel, we can use the formula: GM = (T^2 * g) / (2 * π^2 * L), where T is the rolling period, g is the acceleration due to gravity, and L is the length of the vessel. Plugging in the given values, we get: GM = (21.0^2 * 32.2) / (2 * π^2 * 464) = 1.8 ft The other options are incorrect because they do not accurately reflect the calculated GM value based on the provided information.
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