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

Question 1 of 2707066636eec28f7522a1c51cc87

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 27070

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?

🔍 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.