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- Q133 - Deck Safety: Stability Problems
176. Your vessel displaces 477 tons and measures 116'L x 31'B. You ship a large wave on the after deck. What is the reduction in GM due to free surface before the water drains overboard, if the after deck measures 54'L x 31'B and the weight of the water is 51.5 tons?
The reduction in GM due to free surface is calculated using the formula δGM = I / V_disp, where I is the second moment of area of the free surface and V_disp is the ship's displacement volume including the shipped water. Applying this formula with the given dimensions and displacement yields a reduction of 7.25 feet.
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