Question 2670Deck Safety70% to pass
Your vessel displaces 641 tons. The existing deck cargo has a center of gravity of 3.6 feet above the deck and weighs 36 tons. If you load 22 tons of ground tackle with an estimated center of gravity of 2.0 feet above the deck, what is the final height of the CG of the deck cargo?
AI Explanation
The correct answer is D) 2.99 feet.
To calculate the final height of the CG of the deck cargo, we need to use the formula for the weighted average of the centers of gravity:
Final CG = (Existing CG * Existing Weight + New CG * New Weight) / (Existing Weight + New Weight)
Given:
- Existing CG = 3.6 feet
- Existing Weight = 36 tons
- New CG = 2.0 feet
- New Weight = 22 tons
Plugging these values into the formula:
Final CG = (3.6 * 36 + 2.0 * 22) / (36 + 22)
Final CG = 2.99 feet
The other options are incorrect because they do not correctly apply the weighted average formula to calculate the final CG of the deck cargo.
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