The liquid mud tanks on your vessel measure...

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Question 1 of 2066636eec28f7522a1c51c657

The liquid mud tanks on your vessel measure 22'L by 16'B by 7'D. The vessel's displacement is 568 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 20

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🔍 Key Concepts

• Free surface effect (FSE) and how it reduces GM (metacentric height) • How to calculate the moment of inertia of a rectangular tank surface (I = b × l³ / 12 or l × b³ / 12, depending on axis) • Using displacement and specific gravity (density) to find the reduction in GM from FSE, and the effect of having two tanks (port and starboard)

💭 Think About

• First, find the free surface moment of inertia for one tank using its length, breadth, and depth. Which dimensions form the free surface area when the tank is slack? • Think about how specific gravity of the mud (1.6) changes the free surface effect compared to fresh water (SG = 1.0). Does higher density increase or decrease the FSE? • After finding the free surface correction for one tank, how should you account for the fact that there are two identical tanks, port and starboard?

✅ Before You Answer

• Make sure you are using the correct tank dimensions for the free surface area (plan view of the liquid surface), not the volume. • Confirm you apply the specific gravity factor correctly in the free surface correction formula (is it multiplied or divided?). • Verify you finally divide by the ship’s displacement (568 T) and then apply the result for both tanks before choosing an answer.

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