Question 2473Deck Safety70% to pass
On a vessel of 12,500 tons displacement, compute the reduction in metacentric height due to free surface in a hold having free water on the tank top. The hold is 35 feet long and 50 feet wide. What is the reduction in metacentric height?
AI Explanation
The correct answer is D) .83 ft.
The reduction in metacentric height (GM) due to free surface effect can be calculated using the formula: GM reduction = ρB^3/12ΔD, where ρ is the density of the liquid, B is the breadth of the tank, and Δ is the displacement of the vessel.
Given the dimensions of the hold (35 ft x 50 ft) and the vessel's displacement (12,500 tons), the calculation yields a GM reduction of approximately 0.83 ft. This is the correct answer based on the provided information and the established formula for determining the free surface effect on metacentric height.
The other answer choices are incorrect because they do not accurately reflect the GM reduction calculated using the formula and the given vessel characteristics.
Related Questions
#2471 What is the reduction in metacentric height due to free surface when a tank 60 feet long and 30 feet wide is partially filled with salt water, and is fitted with a centerline bulkhead? (The vessel has a displacement of 10,000 tons.) #2472 On a vessel of 9,000 tons displacement, compute the reduction in metacentric height due to free surface in a hold having free water on the tank tops. The hold is 20 feet long and 30 feet wide. What is the reduction in metacentric height? #2474 A cargo vessel of 9,000 tons displacement is carrying a slack deep tank of molasses (SG 1.4 #2475 A vessel has a cargo hold divided by a shaft alley into two tanks, each 35 feet long and 20 feet wide. Each tank is half filled with sea water. The vessel displaces 5,000 tons. What is the reduction in GM due to free surface effect? #2476 Your vessel displaces 747 tons and measures 136'L by 34'B. You ship a large wave on the after deck. What is the reduction to GM due to free surface before the water drains overboard, if the after deck measures 56'L x 34'B and the weight of the water is 58.6 tons?