Question 2497Deck Safety70% to pass
On a vessel displacing 8,000 tons, what is the reduction in metacentric height due to free surface when a tank 45 feet long and 45 feet wide is partly filled with salt water?
AI Explanation
The correct answer is A) 1.22 feet.
The reduction in metacentric height due to free surface effect is calculated using the formula: Δ GM = (ρ * b^2 * l) / (12 * Δ), where ρ is the density of the fluid, b is the breadth of the tank, l is the length of the tank, and Δ is the displacement of the vessel.
Given the dimensions of the tank (45 feet long and 45 feet wide) and the vessel's displacement (8,000 tons), the calculation results in a reduction of 1.22 feet in the metacentric height, which makes A the correct answer.
The other options are incorrect because they do not accurately reflect the reduction in metacentric height based on the provided information.
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