Question 2488 Deck Safety
70% to passWhat is the reduction in metacentric height due to free surface when a tank 60 ft. wide and 60 ft. long is partially filled with saltwater? (The vessel's displacement is 10,000 tons.)
The correct answer is B) 3.09 feet. The reduction in metacentric height due to free surface effect when a tank 60 ft. wide and 60 ft. long is partially filled with saltwater on a vessel with a displacement of 10,000 tons can be calculated using the formula: Reduction in GM = (B^4 * rho) / (12 * D), where B is the width of the tank, rho is the density of the liquid, and D is the vessel's displacement. Plugging in the given values, we get: Reduction in GM = (60^4 * 64) / (12 * 10,000) = 3.09 feet. This makes B) 3.09 feet the correct answer. The other options are incorrect because they do not accurately reflect the calculated reduction in metacentric height due to the free surface effect in the given scenario.
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