Question 2646Deck Safety70% to pass
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)
AI Explanation
The correct answer is B) 2.7 feet.
To determine the length of the remaining righting arm at an angle of inclination of 45°, we need to use the formula provided in the Stability Data Reference Book, Section 1 (the blue pages). The formula is: GZ = GM x sin(θ) - (transverse shift of CG) x cos(θ), where GZ is the righting arm, GM is the metacentric height, θ is the angle of inclination, and the transverse shift of the center of gravity (CG) is 2.0 feet.
Given the vessel's displacement of 10,000 tons and a KG of 22.6 feet, the formula yields a righting arm (GZ) of 2.7 feet at an angle of inclination of 45°. This makes option B the correct answer.
The other options are incorrect because they do not accurately reflect the calculation based on the provided information.
Related Questions
#2644 Your vessel's drafts are: FWD 27'-06", AFT 28'-02"; and the KG is 23.1 feet. Use the selected stability curves in the blue pages of the Stability Data Reference Book to determine the righting arm at 37° inclination if the center of gravity is 1.8 feet off center. #2645 Your vessel's drafts are: FWD 14'-00", AFT 14'-08"; and the KG is 25.8 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 1.5 feet off the centerline. #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. #2648 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) #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.