Question 2502Deck Safety70% to pass
Your vessel displaces 645 tons and measures 132'L by 34'B. What is the reduction in GM due to free surface if the fish hold
AI Explanation
The correct answer is B.
The reduction in GM (metacentric height) due to free surface effect is calculated using the formula:
Reduction in GM = I / (W * GM)
Where:
I = Moment of Inertia of the free surface
W = Displacement of the vessel
GM = Metacentric Height
Given:
Displacement = 645 tons
Length = 132 ft
Beam = 34 ft
The moment of inertia (I) of a rectangular free surface is calculated as:
I = L^3 * B / 12
Plugging in the values:
I = 132^3 * 34 / 12 = 1,280,832 ft^4
Applying the formula:
Reduction in GM = 1,280,832 / (645 * GM)
This is the correct expression for calculating the reduction in GM due to free surface effect.
Related Questions
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