Your vessel displaces 562 tons and measures...

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Question 1 of 2066636eec28f7522a1c51d0f5

Your vessel displaces 562 tons and measures 121'L x 29'B. You ship a large wave on the after deck. What is the reduction to GM due to free surface before the water drains overboard, if the after deck measures 46'L x 29'B and the weight of the water is 41 tons?

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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) • Relationship between free surface moment, displacement, and loss of GM • Effect of tank/deck breadth and length on free surface moment

💭 Think About

• What formula links the moment of inertia of the free surface to the loss of GM? Think about which dimensions of the deck area are used in that formula. • How do you convert the geometric moment of inertia of the water surface into free surface moment, and then into a reduction in GM, using the vessel’s displacement? • Is the actual weight of water (41 tons) directly used in the free surface GM loss calculation, or is the reduction in GM based mainly on the surface area and breadth of the water?

✅ Before You Answer

• Be sure you are using the correct formula for free surface moment: it should include breadth squared and be based on the plan area of the water surface. • Check that you convert all quantities into consistent units (feet, tons, etc.) before plugging into the formula. • Verify that the final loss of GM is found by dividing the free surface moment by the vessel’s displacement (562 tons), and that the result is in feet.

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