Question 2657 Deck Safety

70% to pass

Your vessel's drafts are: FWD 17'-05", AFT 20'-01"; and the KG is 25.6 feet. What is the righting moment when the vessel is inclined to 45°? (Use the reference material in Section 1, the blue pages, of the Stability Data Reference Book)

A 18,294 foot-tons
B 19,709 foot-tons
C 21,137 foot-tons
D 22,002 foot-tons
AI Explanation

The correct answer is B) 19,709 foot-tons. To calculate the righting moment at 45 degrees of inclination, we need to use the formula provided in Section 1 (the blue pages) of the Stability Data Reference Book: Righting Moment = Displacement x GZ, where GZ is the righting arm at the given angle of inclination. Given the vessel's drafts (FWD 17'-05", AFT 20'-01") and KG (25.6 feet), we can use the provided reference material to determine the GZ value at 45 degrees of inclination. From the reference, the GZ value at 45 degrees is 0.893 feet. Plugging in the values, the righting moment is calculated as: Displacement x GZ = 22,055 long tons x 0.893 feet = 19,709 foot-tons. The other answer choices are incorrect because they do not accurately reflect the righting moment calculated using the provided formula and reference data.

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