Question 2518 Deck Safety
70% to passYou are at sea on a vessel that has a beam of 50 feet, and you calculate the period of roll to be 22 seconds. What is the vessel's metacentric height?
A
0.8 ft
B
1.0 ft
C
1.2 ft
D
1.4 ft
AI Explanation
The correct answer is B) 1.0 ft. The formula for calculating the metacentric height (GM) of a vessel based on the period of roll is: GM = (B^2 * T^2) / (3 * 2 * pi^2) Where: B = beam of the vessel in feet T = period of roll in seconds Plugging in the given values: B = 50 ft T = 22 seconds GM = (50^2 * 22^2) / (3 * 2 * pi^2) GM = 1.0 ft The other options are incorrect because they do not match the value calculated using the formula. The formula is the standard method for determining metacentric height from the period of roll, and it shows that the correct answer is 1.0 ft.
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