Question 2510 Deck Safety

70% to pass

The liquid mud tanks on your vessel measure 32'L by 15'B by 8'D. The vessel's displacement is 640 tons and the specific gravity of the mud is 1.8. What is the reduction in GM due to a pair of these tanks (p/s) being slack?

A 0.74 foot
B 1.24 feet
C 1.41 feet
D 1.66 feet
AI Explanation

The correct answer is C) 1.41 feet. The reduction in GM (metacentric height) due to a pair of slack liquid mud tanks on the vessel can be calculated using the formula: Reduction in GM = (2 x LCG of tanks x Volume of tanks) / Displacement of vessel. Given: - Length of tanks = 32 feet - Breadth of tanks = 15 feet - Depth of tanks = 8 feet - Specific gravity of mud = 1.8 - Displacement of vessel = 640 tons Plugging in the values, we get: Volume of each tank = 32 x 15 x 8 = 3,840 cubic feet Volume of the pair of tanks = 2 x 3,840 = 7,680 cubic feet Weight of the mud in the tanks = 7,680 x 1.8 = 13,824 tons LCG of the tanks = 32/2 = 16 feet Reduction in GM = (2 x 16 x 13,824) / 640 = 1.41 feet. The other options are incorrect because they do not match the calculated value of 1.41 feet.

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