Question 2484 Deck Safety

70% to pass

On a vessel of 15,000 tons displacement, compute the reduction in metacentric height due to free surface in a hold having free water in the tank tops. The hold is 50 feet long and 60 feet wide. What is the reduction in metacentric height?

A 1.54 feet
B 1.59 feet
C 1.63 feet
D 1.71 feet
AI Explanation

The correct answer is D) 1.71 feet. To calculate the reduction in metacentric height due to free surface in a hold with free water, we can use the formula: Reduction in GM = bl^2 / 12 * Displacement Where: b = width of the hold (60 feet) l = length of the hold (50 feet) Displacement = 15,000 tons Plugging in the values, we get: Reduction in GM = 60 ft * 50^2 ft^2 / 12 * 15,000 tons = 1.71 feet The other answer choices are incorrect because they do not match the result calculated using the formula for free surface effect.

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