Your vessel displaces 968 tons and measures...

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Question 1 of 2066636eec28f7522a1c51d106

Your vessel displaces 968 tons and measures 158'L x 40'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 65'L x 40'B and the weight of the water is 80 tons?

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Question 1 of 20

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🔍 Key Concepts

• Free surface effect and its impact on GM (metacentric height) • Using tank (or deck) breadth and free surface moment to estimate reduction in GM • Relationship between displacement, virtual rise of G, and reduction in GM

💭 Think About

• How do you normally calculate the free surface moment for a rectangular tank or flooded deck, using its length and breadth? • Once you have the free surface moment, how do you convert that into a reduction in GM using the ship’s displacement? • What is the role of the 80 tons of water weight here compared to the vessel’s total displacement—do you use it directly in the GM reduction formula or in another way?

✅ Before You Answer

• Be sure you are using deck breadth (40 feet) correctly in the free surface calculation, not the vessel’s length • Confirm you are using vessel displacement (968 tons) in the denominator of the GM reduction formula • Check that you are using consistent units (feet for dimensions, tons for displacement) throughout the calculation

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