Your vessel measures 122 feet long by 18...

Question 1 / 2707066636eec28f7522a1c51d1ae

Question 1 of 2707066636eec28f7522a1c51d1ae

Your vessel measures 122 feet long by 18 feet in beam. If the natural rolling period at a draft of 6'-09" is 5 seconds, what is the GM?

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Question 1 of 27070

Your vessel measures 122 feet long by 18 feet in beam. If the natural rolling period at a draft of 6'-09" is 5 seconds, what is the GM?

🔍 Key Concepts

• Formula for rolling period and GM (metacentric height): how GM, beam, and period are related • How to rearrange formulas to solve for an unknown (solve for GM instead of T) • Importance of using consistent units (feet and seconds) in stability formulas

💭 Think About

• What is the standard approximate formula that links rolling period (T in seconds), beam (B in feet), and GM (in feet) for a vessel? Write that down first. • Once you have the formula with T on the left, how can you algebraically rearrange it to make GM the subject? • After computing a numerical value for GM, which choice is closest to your calculated result?

✅ Before You Answer

• Make sure beam B is in feet and period T is in seconds before putting numbers into the formula. • Carefully square only what needs to be squared when you rearrange the formula (pay attention to whether T or B is being squared). • After you calculate GM, compare it to all answer choices and check that the value is reasonable for a vessel of this size (not extremely small or extremely large).

Question 1 of 27070

Your vessel measures 122 feet long by 18 feet in beam. If the natural rolling period at a draft of 6'-09" is 5 seconds, what is the GM?

2.1 feet

2.5 feet

1.4 feet

2.9 feet