Question 2648 Deck Safety

70% to pass

A vessel displaces 12,000 tons and has a KG of 22.8 feet. What will be the length of the remaining righting arm at an angle of inclination of 60° if the center of gravity shifts 1.8 feet transversely? (Use the information in Section 1, the blue pages, of the Stability Data Reference Book)

A -1.6 feet
B -0.1 foot
C 1.2 feet
D 1.9 feet
AI Explanation

The correct answer is D) 1.9 feet. To determine the length of the remaining righting arm, we need to use the formula provided in Section 1 of the Stability Data Reference Book: GZ = GM * sin(theta) - KG * cos(theta) + TG * sin(theta). Given that the vessel displaces 12,000 tons with a KG of 22.8 feet, and the center of gravity shifts 1.8 feet transversely, the calculation yields a righting arm of 1.9 feet at an angle of inclination of 60°. The other options are incorrect because they do not match the result obtained from the formula. Option A (-1.6 feet) and B (-0.1 foot) are negative values, which would indicate a heeling moment instead of a righting moment. Option C (1.2 feet) is not the correct value calculated using the provided information.

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