You are at sea on a vessel that has a beam...

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Question 1 of 2066636eec28f7522a1c51cc87

You are at sea on a vessel that has a beam of 50 feet, and you calculate the period of roll to be 22 seconds. What is the vessel's metacentric height?

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Question 1 of 20

66636eec28f7522a1c51cc87

You are at sea on a vessel that has a beam of 50 feet, and you calculate the period of roll to be 22 seconds. What is the vessel's metacentric height?

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🔍 Key Concepts

• Metacentric height (GM) and how it relates to a vessel's period of roll • Standard approximate formula connecting period of roll (T), beam (B), and GM used in stability problems • Effect of a longer vs. shorter roll period on the value of GM (stiff vs. tender ship)

💭 Think About

• Write down the common exam formula that links T, B, and GM, and carefully rearrange it to solve for GM. • Substitute B = 50 ft and T = 22 s into your rearranged formula and keep track of your units. • After you compute GM, compare the result with the choices and think: does this value suggest a very stiff ship (large GM, quick roll) or a very tender ship (small GM, slow roll), and is that consistent with a 22‑second period?

✅ Before You Answer

• Be sure you are using the correct constant in the roll‑period formula (check whether the beam is in feet and period in seconds). • Double‑check your squaring of the period (T²) and any square roots—many errors come from this step. • Confirm that your final GM is in feet, and that the magnitude (less than a few feet for a large vessel) makes physical sense for a 22‑second roll period.

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Question 1 of 2066636eec28f7522a1c51cc87

You are at sea on a vessel that has a beam of 50 feet, and you calculate the period of roll to be 22 seconds. What is the vessel's metacentric height?

Back

Question 1 of 20

66636eec28f7522a1c51cc87

You are at sea on a vessel that has a beam of 50 feet, and you calculate the period of roll to be 22 seconds. What is the vessel's metacentric height?

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