Question 2762Deck Safety70% to pass
A cargo of 60 tons is to be loaded on deck 20 feet from the ship's centerline. The vessel's displacement including the 60 ton cargo will be 6,000 tons and the GM two feet. What would be the list of the vessel after loading this cargo?
AI Explanation
The correct answer is B) 5.72°.
To calculate the list of the vessel after loading the 60-ton cargo, we can use the formula for calculating the angle of list: tan(list angle) = (cargo weight x cargo arm) / (displacement x GM).
Given:
- Cargo weight: 60 tons
- Cargo arm: 20 feet
- Displacement: 6,000 tons
- GM: 2 feet
Plugging these values into the formula, we get:
tan(list angle) = (60 tons x 20 feet) / (6,000 tons x 2 feet)
tan(list angle) = 1,200 / 12,000
tan(list angle) = 0.1
List angle = arctan(0.1) = 5.72°
The other options are incorrect because they do not match the calculated value of 5.72°.
Related Questions
#2760 A cargo of 30 tons is to be loaded on deck 30 feet from the ship's centerline. The ship's displacement including the 30 tons cargo will be 9,000 tons and the GM will be 5 feet. What would be the list of the vessel after loading this cargo? #2761 Your sailing drafts are: FWD 17'-07", AFT 18'-03" and the GM is 2.8 feet. What will be the angle of list if the #4 starboard double bottom (capacity 141 tons, VCG 2.6 feet, and 23.8 feet off the centerline) is filled with saltwater? (Use the data in Section 1, the blue pages, of the Stability Data Reference Book) #2763 Your vessel's drafts are: FWD 27'-09", AFT 28'-03"; and the KG is 22.4 feet. Use the selected stability curves in the blue pages of the Stability Data Reference Book to determine the angle of list if the center of gravity is shifted 1.6 feet off the centerline. #2764 A vessel's drafts are: FWD 16'-03", AFT 16'-09"; and the KG is 21.3 feet. Use the selected stability curves in the blue pages of the Stability Data Reference Book to determine the angle of list if the center of gravity is shifted 2 feet off the centerline. #2765 Your vessel's drafts are: FWD 17'-09", AFT 18'-03"; and the KG is 22.4 feet. Use the selected stability curves in the blue pages of the Stability Data Reference Book to determine the angle of list if the center of gravity is shifted 1.5 feet off the centerline.