Question 2648Deck Safety70% 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)
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.
Related Questions
#2646 Your vessel displaces 10,000 tons and has a KG of 22.6 feet. What will be the length of the remaining righting arm at an angle of inclination of 45° if the center of gravity shifts 2.0 feet transversely? (Use the information in Section 1, the blue pages, of the Stability Data Reference Book) #2647 Your vessel's drafts are: FWD 19'-09", AFT 20'-09"; and the KG is 24.6 feet. Use the selected stability curves in the blue pages of the Stability Data Reference Book to determine the remaining righting arm at 15° inclination if the center of gravity is 0.5 foot off the centerline. #2649 Your vessel's drafts are: FWD 21'-04", AFT 21'-08"; and the KG is 20.6 feet. Use the selected stability curves in the blue pages of the Stability Data Reference Book to determine the remaining righting arm at 45° inclination if the center of gravity is 1.2 feet off the centerline. #2650 Your vessel's drafts are: FWD 23'-01", AFT 24'-05"; and the KG is 22.8 feet. Use the selected stability curves in the blue pages of the Stability Data Reference Book to determine the remaining righting arm at 30° inclination if the center of gravity is 1.9 feet off the centerline. #2651 Your vessel's drafts are: FWD 17'-07", AFT 16'-09"; and the KG is 21.5 feet. Use the selected stability curves in the blue pages of the Stability Data Reference Book to determine the remaining righting arm at 30° inclination if the center of gravity is 0.9 foot off the centerline.