Question 2665Deck Safety70% to pass
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?
AI Explanation
The correct answer is D) 1.67 feet.
To calculate the final height of the center of gravity (CG) above the deck, we need to use the formula: (Existing CG × Existing Weight + New CG × New Weight) / (Existing Weight + New Weight).
Given:
- Vessel displacement: 479 tons
- Existing deck cargo CG: 3.0 feet above the deck
- Existing deck cargo weight: 16 tons
- New anchor and anchor chain CG: 9 inches (0.75 feet) above the deck
- New anchor and anchor chain weight: 23 tons
Plugging these values into the formula:
(3.0 feet × 16 tons + 0.75 feet × 23 tons) / (16 tons + 23 tons) = 1.67 feet
Therefore, the final height of the CG above the deck is 1.67 feet, which is the correct answer (D).
The other options are incorrect because they do not accurately reflect the final CG height calculated using the provided information.
Related Questions
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