You are loading cargo on deck aboard a...

Question 1 of 2707066636eec28f7522a1c51c661

You are loading cargo on deck aboard a vessel whose beam is 60 feet and full period of roll is 20 seconds. What is the estimated metacentric height of the vessel?

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Question 1 of 27070

Q

You are loading cargo on deck aboard a vessel whose beam is 60 feet and full period of roll is 20 seconds. What is the estimated metacentric height of the vessel?

🔍 Key Concepts

• Use the rolling period formula that relates beam, rolling period, and metacentric height (GM). • Remember that for small angles of heel, GM is inversely related to the square of the rolling period. • Be careful with units (feet and seconds) and the constant used in the rolling-period formula.

💭 Think About

• What standard formula connects the full rolling period (T), the vessel’s beam (B), and GM for a ship in feet and seconds? • Once you write that formula, how can you rearrange it to solve directly for GM in terms of B and T? • After calculating GM, which answer choice is closest to your computed value?

✅ Before You Answer

• Confirm you are using the correct coefficient (e.g., 0.44 when B is in feet and T is in seconds) in the rolling-period formula. • Double-check your algebra when solving for GM from the rolling-period equation. • Verify your calculator steps: multiply, divide, then square or take the square root in the correct order.