On a vessel of 12,000 tons displacement,...

Study

Question 1 of 2066636eec28f7522a1c51d096

On a vessel of 12,000 tons displacement, what is the reduction in metacentric height due to free surface when a tank 60 feet long and 60 feet wide is partially filled with water?

Back

Question 1 of 20

66636eec28f7522a1c51d096

On a vessel of 12,000 tons displacement, what is the reduction in metacentric height due to free surface when a tank 60 feet long and 60 feet wide is partially filled with water?

No comments yet

Be the first to share your thoughts!

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

🔍 Key Concepts

• Free surface effect and how it reduces metacentric height (GM) • Formula for free surface moment in a rectangular tank: second moment of area, using tank length and breadth • Relationship between free surface moment (FSM), vessel displacement, and reduction in GM

💭 Think About

• Which tank dimension should you treat as the breadth (across ship) when the vessel heels, and which formula for second moment of area applies to that? • Once you compute the free surface moment, how do you turn that into a reduction in GM using the vessel’s displacement in tons? • Are your units consistent (feet for dimensions, tons for displacement, and ft‑tons for the moment) before you compute the final reduction in GM?

✅ Before You Answer

• Be clear which side of the tank is athwartships breadth and which is length; use the correct one in the b³ term of the inertia formula. • Use the correct form of the free-surface reduction formula: reduction in GM = FSM / Δ, where Δ is vessel displacement in tons. • Double‑check your arithmetic on the second moment of area and the final division so small rounding differences don’t push you to the wrong multiple‑choice option.

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

Quick actions

— No credit card needed

Study

Question 1 of 2066636eec28f7522a1c51d096

On a vessel of 12,000 tons displacement, what is the reduction in metacentric height due to free surface when a tank 60 feet long and 60 feet wide is partially filled with water?

Back

Question 1 of 20

66636eec28f7522a1c51d096

On a vessel of 12,000 tons displacement, what is the reduction in metacentric height due to free surface when a tank 60 feet long and 60 feet wide is partially filled with water?

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

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

Quick actions

— No credit card needed