Question 2483Deck Safety70% to pass
Your vessel displaces 689 tons and measures 123'L x 31'B. You ship a large wave on the after deck which measures 65'Lx 31'B. The weight of the water is estimated at 62 tons. What is the reduction in GM due to free surface before the water drains overboard?
AI Explanation
The correct answer is D) 6.14 feet.
The reduction in GM (metacentric height) due to free surface can be calculated using the formula: Reduction in GM = (Ifl / Δ), where Ifl is the moment of inertia of the free surface and Δ is the vessel's displacement.
Given:
- Vessel displacement: 689 tons
- Wave dimensions: 65'L x 31'B
- Weight of water: 62 tons
Calculating the moment of inertia of the free surface (Ifl):
Ifl = (L^3 * B) / 12 = (65^3 * 31) / 12 = 110,153.13 ft^4
Calculating the reduction in GM:
Reduction in GM = (Ifl / Δ) = (110,153.13 / 689) = 6.14 feet
The other options are incorrect because they do not match the calculated reduction in GM of 6.14 feet.
Related Questions
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