Question 2532 Deck Safety
70% to passYour vessel has a displacement of 10,000 tons. It is 350 feet long and has a beam of 55 feet. You have timed its rolling period to be 15.0 seconds. What is your vessel's approximate GM?
A
1.18 feet
B
1.83 feet
C
2.60 feet
D
3.36 feet
AI Explanation
The correct answer is C) 2.60 feet. The formula to calculate the approximate GM (metacentric height) is: GM = (T^2 * D) / (0.8542 * B^2) Where: T = Rolling period (in seconds) D = Displacement (in tons) B = Beam (in feet) Plugging in the given values: T = 15.0 seconds D = 10,000 tons B = 55 feet GM = (15.0^2 * 10,000) / (0.8542 * 55^2) GM = 2.60 feet This is the correct answer based on the formula for calculating approximate GM using the vessel's rolling period, displacement, and beam. The other options are incorrect because they do not match the result obtained from the GM formula.
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