The liquid mud tanks on your vessel measure...

Question 1 of 2707066636eec28f7522a1c51c656

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?

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Question 1 of 27070

🔍 Key Concepts

• Free surface effect and how slack tanks reduce GM (metacentric height) • Formula for free surface correction: moment of inertia of the liquid surface divided by the vessel’s displacement • Effect of specific gravity on the equivalent weight (or displacement) of the liquid in the tank

💭 Think About

• 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? • Once you find the free surface correction for one tank, how do you account for having a pair of identical port and starboard tanks? • How does a higher specific gravity (1.6) change the free surface correction compared with fresh water (SG = 1.0)?

✅ Before You Answer

• Be sure you are using the correct free surface formula for a rectangular tank and the correct axis (transverse) for GM reduction. • Confirm that you convert units consistently (e.g., cubic feet to tons or long tons) and match them to the vessel’s displacement of 986 T. • Double‑check that you apply the free surface correction for both tanks, not just one, before comparing your result to the answer choices.