In order to check your vessel's stability, a...

Question 1 / 2066636eec28f7522a1c51c959

Question 1 of 2066636eec28f7522a1c51c959

In order to check your vessel's stability, a weight of 40 tons is lifted with the jumbo boom, the boom head being 50 feet from the ship's centerline. The clinometer is then carefully read and shows a list of 5°. The vessel's displacement is 8,000 tons including the suspended weight. What will be the metacentric height of the vessel at this time?

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🔍 Key Concepts

• Inclining experiment formula for metacentric height (GM) using a known weight and observed angle of heel • How a suspended weight on a boom creates a heeling moment: weight × horizontal distance from centerline • Relationship between heeling moment, displacement (Δ), and tan(list angle)

💭 Think About

• What is the standard formula that relates the inclining weight, its transverse distance from centerline, the vessel’s displacement, and tan of the heel angle to find GM? • How do you convert 5° to a trigonometric term in that formula, and why is tan(θ) used instead of sin(θ) or cos(θ)? • Once you compute GM from the formula, how can you quickly compare it to the multiple-choice options to see which is closest?

✅ Before You Answer

• Make sure you use the total displacement including the suspended weight (given as 8,000 tons) in your formula, not just the ship’s lightship or cargo weight. • Confirm you are using feet for distance and tons for weight consistently so the units in the GM result are in feet. • Double-check that you are using tan(5°) (not radians, and not sin or cos) when plugging the angle into your calculation.

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Question 1 of 20

2.74 feet

2.80 feet

2.86 feet

2.93 feet

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Question 1 / 2066636eec28f7522a1c51c959

Question 1 of 2066636eec28f7522a1c51c959

Back

Question 1 of 20

66636eec28f7522a1c51c959

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🔍 Key Concepts

💭 Think About

✅ Before You Answer

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

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