Your vessel displaces 368 tons and measures...

Question 1 / 2066636eec28f7522a1c51d0ed

Question 1 of 2066636eec28f7522a1c51d0ed

Your vessel displaces 368 tons and measures 96'L x 28'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 42'L x 28'B and the weight of the water is 36 tons?

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🔍 Key Concepts

• Free surface effect (FSE) and how it reduces GM (metacentric height) • Using the second moment of area of a rectangular tank (or deck area) for free surface moment: I = (L × B³) / 12 • Relationship between free surface moment, displacement, and the reduction in GM

💭 Think About

• How do you convert the deck dimensions (42 ft × 28 ft) into the free surface moment using the correct formula for a rectangular area? • Once you have the free surface moment, how is it divided by the vessel’s displacement (368 tons) to obtain the reduction in GM? • Where (if at all) does the given 36 tons of water weight actually matter in calculating free surface reduction for a wide, slack surface?

✅ Before You Answer

• Confirm you are using B³ (breadth cubed) and not length cubed in the free surface formula. • Make sure the displacement used in the denominator is the vessel’s total displacement (368 tons), not the 36 tons of shipped water. • Check that all units are consistent: deck dimensions in feet, displacement in tons, and that your result for GM reduction is in feet.

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Question 1 of 20

4.98 feet

5.21 feet

5.43 feet

5.67 feet

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Question 1 / 2066636eec28f7522a1c51d0ed

Question 1 of 2066636eec28f7522a1c51d0ed

Back

Question 1 of 20

66636eec28f7522a1c51d0ed

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🔍 Key Concepts

💭 Think About

✅ Before You Answer

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