Your vessel measures 127 feet long by 17...

Question 1 / 2707066636eec28f7522a1c51d1b5

Question 1 of 2707066636eec28f7522a1c51d1b5

Your vessel measures 127 feet long by 17 feet in beam. If the natural rolling period at a draft of 7'-10" is 5 seconds, what is the GM?

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Question 1 of 27070

Your vessel measures 127 feet long by 17 feet in beam. If the natural rolling period at a draft of 7'-10" is 5 seconds, what is the GM?

🔍 Key Concepts

• Use the rolling period / metacentric height (GM) formula that relates vessel beam, rolling period, and GM. • Be careful converting feet and inches into a single unit before using the formula. • Remember that the rolling-period formula often uses seconds and feet, and may include a constant (like 0.44 or similar) depending on units.

💭 Think About

• What standard formula connects a ship’s natural rolling period (T), beam (B), and GM? Write it down first. • Once you rearrange that formula to solve for GM, what values for T and B will you plug in, and how will you handle the beam and draft in the problem? • After computing GM, which answer choice is closest to your computed value (watching for rounding)?

✅ Before You Answer

• Confirm you’ve converted 7'-10" correctly if you need draft in decimal feet. • Confirm you are using beam in feet and period in seconds consistently in the rolling-period formula. • Double-check your squaring operations (e.g., $T^2$ or $B^2$ ) and make sure you don’t mix up numerator and denominator when solving for GM.

Question 1 of 27070

Your vessel measures 127 feet long by 17 feet in beam. If the natural rolling period at a draft of 7'-10" is 5 seconds, what is the GM?

2.24 feet

2.45 feet

1.96 feet

2.68 feet

Question 1 / 2707066636eec28f7522a1c51d1b5

Question 1 of 2707066636eec28f7522a1c51d1b5

Your vessel measures 127 feet long by 17 feet in beam. If the natural rolling period at a draft of 7'-10" is 5 seconds, what is the GM?

Back

Question 1 of 27070

Your vessel measures 127 feet long by 17 feet in beam. If the natural rolling period at a draft of 7'-10" is 5 seconds, what is the GM?