The height of the transverse metacenter for...

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Question 1 of 2066636ee728f7522a1c517d26

The height of the transverse metacenter for a MODU is 62.44 feet. The height of the center of gravity is 56.10 feet, and the transverse free surface correction is 1.21 feet. What is the value of the metacentric height corrected for transverse free surface effects?

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Question 1 of 20

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🔍 Key Concepts

• Relationship between metacentric height (GM), metacenter (M), and center of gravity (G) • How to apply a transverse free surface correction to GM • Sign convention: does free surface increase or decrease stability (GM)?

💭 Think About

• First, ignore free surface: how do you compute GM from the given metacenter height and center of gravity height? • Once you have the initial GM, think about how free surface effect changes stability—does it make the vessel more or less stable, and therefore should GM go up or down? • After applying the correction, compare your final GM to the answer choices and check if the number makes sense physically.

✅ Before You Answer

• Be sure you are using GM = KM - KG (or the equivalent vertical reference) before applying the correction • Confirm whether the free surface correction is subtracted from or added to the initial GM value • Double‑check your arithmetic carefully, especially the decimal places, before picking the closest answer.

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