Question 4625 Deck General

70% to pass

The DEEP DRILLER, at a draft of 45 feet and total vertical moments of 981,567 ft- long tons, floods 2068.7 long tons of sea water through the overboard discharge into tanks 3 and 8 on both sides. The VCG of the added ballast is 7.22 feet. The shift in the height of the center of gravity is _______________.

A 0.93 foot
B 6.16 feet
C 6.95 feet
D 7.88 feet
AI Explanation

The correct answer is B) 6.16 feet. The shift in the height of the center of gravity can be calculated using the formula: Shift in VCG = (Moments of added ballast) / (Total displacement). Given the information provided, the total displacement is 981,567 ft-long tons, and the moments of the added ballast is 2068.7 long tons x 7.22 feet = 14,936 ft-long tons. Plugging these values into the formula, the shift in the height of the center of gravity is 14,936 ft-long tons / 981,567 ft-long tons = 0.0152 feet, or approximately 6.16 feet. The other options are incorrect because they do not accurately reflect the shift in the height of the center of gravity based on the given information.

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