The liquid mud tanks on your vessel measure 20'L by 18'B by 7'D. The vessel's displacement is 986 T and the specific gravity of the mud is 1.6. What is the reduction in GM due to a pair of these tanks (p/s) being slack?
ā¢ Free surface effect and how slack tanks reduce GM (metacentric height) ā¢ Formula for free surface correction: moment of inertia of the liquid surface divided by the vesselās displacement ā¢ Effect of specific gravity on the equivalent weight (or displacement) of the liquid in the tank
ā¢ How do you calculate the free surface moment of inertia for a rectangular tank using its length and breadth? Which dimension(s) matter for transverse stability? ā¢ Once you find the free surface correction for one tank, how do you account for having a pair of identical port and starboard tanks? ā¢ How does a higher specific gravity (1.6) change the free surface correction compared with fresh water (SG = 1.0)?
ā¢ Be sure you are using the correct free surface formula for a rectangular tank and the correct axis (transverse) for GM reduction. ā¢ Confirm that you convert units consistently (e.g., cubic feet to tons or long tons) and match them to the vesselās displacement of 986 T. ā¢ Doubleācheck that you apply the free surface correction for both tanks, not just one, before comparing your result to the answer choices.
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