Question 2666Deck Safety70% to pass
Your vessel displaces 475 tons. The existing deck cargo has a center of gravity of 2.6 feet above the deck and weighs 22 tons. If you load 16 tons of ground tackle with an estimated center of gravity of 8 inches above the deck, what is the final height of the CG of the deck cargo?
AI Explanation
The correct answer is D) 1.79 feet.
To calculate the final height of the center of gravity (CG) of the deck cargo, we need to use the principle of conservation of momentum. The final CG is determined by the weighted average of the original deck cargo CG and the new ground tackle CG.
The calculation is: (Original CG x Original Weight + New CG x New Weight) / (Original Weight + New Weight) = Final CG. Plugging in the given values, we get: (2.6 ft x 22 tons + 0.67 ft x 16 tons) / (22 tons + 16 tons) = 1.79 ft.
The other options are incorrect because they do not correctly apply the principle of conservation of momentum to calculate the final CG.
Related Questions
#2664 Your vessel's drafts are: FWD 24'-07", AFT 25'-09"; and the KG is 24.0 feet. What is the righting moment when the vessel is inclined to 15°? (Use the selected stability curves in Section 1, the blue pages, of the Stability Data Reference Book) #2665 Your vessel displaces 479 tons. The existing deck cargo has a center of gravity of 3.0 feet above the deck and weighs 16 tons. If you load 23 tons of anchor and anchor chain with an estimated center of gravity of 9 inches above the deck, what is the final height of the CG above the deck? #2667 Your vessel displaces 528 tons. The existing cargo has a center of gravity of 2.9 feet above the deck and weighs 28 tons. If you load 14 tons of ground tackle with an estimated center of gravity of 9 inches above the deck, what is the final height of the CG of the deck cargo? #2668 Your vessel displaces 564 tons. The existing deck cargo has a center of gravity of 1.5 feet above the deck and weighs 41 tons. If you load 22 tons of ground tackle with an estimated center of gravity of 2.5 feet above the deck, what is the final height of the CG of the deck cargo? #2669 Your vessel displaces 560 tons. The existing deck cargo has a center of gravity of 4.5 feet above the deck and weighs 34 tons. If you load 10 tons of ground tackle with an estimated center of gravity of 2.8 feet above the deck, what is the final height of the CG of the deck cargo?