What is the reduction in metacentric height...

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Question 1 of 2066636eec28f7522a1c51caf8

What is the reduction in metacentric height due to free surface when a tank 60 ft. wide and 60 ft. long is partially filled with saltwater? (The vessel's displacement is 10,000 tons.)

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66636eec28f7522a1c51caf8

What is the reduction in metacentric height due to free surface when a tank 60 ft. wide and 60 ft. long is partially filled with saltwater? (The vessel's displacement is 10,000 tons.)

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🔍 Key Concepts

• Free surface effect and how it reduces metacentric height (GM) • Formula for free surface correction (FSC) using free surface moment (FSM) and displacement • How tank dimensions (length and width) determine the free surface moment for a rectangular tank

💭 Think About

• What standard formula relates free surface moment, liquid density, and vessel displacement to the reduction in GM? • How do you compute the second moment of area (I) for a rectangular free surface using its breadth and length? • Once you have the free surface correction, how do you compare it to the answer choices that are all close together in value?

✅ Before You Answer

• Be sure you are using consistent units (feet for dimensions and long tons for displacement). • Confirm that you used the correct expression for I of a rectangle about its centerline (involving breadth³). • Verify that you used the vessel's total displacement (10,000 tons) in the denominator when converting FSM to a GM reduction.

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Question 1 of 2066636eec28f7522a1c51caf8

What is the reduction in metacentric height due to free surface when a tank 60 ft. wide and 60 ft. long is partially filled with saltwater? (The vessel's displacement is 10,000 tons.)

Back

Question 1 of 20

66636eec28f7522a1c51caf8

What is the reduction in metacentric height due to free surface when a tank 60 ft. wide and 60 ft. long is partially filled with saltwater? (The vessel's displacement is 10,000 tons.)

No comments yet

Be the first to share your thoughts!

If the question has a related picture, it will appear here.

🔍 Key Concepts

💭 Think About

✅ Before You Answer

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