Question 2533 Deck Safety
70% to passYour vessel has a displacement of 24,500 tons. It is 529 feet long and has a beam of 71 feet. You have timed your vessel's rolling period to be 25.0 seconds. What is your vessel's approximate GM?
A
1.25 feet
B
1.56 feet
C
1.98 feet
D
2.43 feet
AI Explanation
The correct answer is B) 1.56 feet. The formula to calculate the approximate GM (metacentric height) of a vessel is: GM = (T^2 * Δ) / (2 * π^2 * L) Where: T = Rolling period (in seconds) Δ = Displacement (in tons) L = Length of the vessel (in feet) Plugging in the given values: T = 25.0 seconds Δ = 24,500 tons L = 529 feet Calculating the GM: GM = (25.0^2 * 24,500) / (2 * π^2 * 529) GM = 1.56 feet The other options are incorrect because they do not match the calculated value of 1.56 feet. The formula and the given vessel dimensions lead to the correct answer of B) 1.56 feet.
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