Your vessel measures 131 feet long by 20...

Question 1 of 2707066636eec28f7522a1c51d1b7

Your vessel measures 131 feet long by 20 feet in beam. If the natural rolling period at a draft of 8'-03" is 6 seconds, what is the GM?

Back

Question 1 of 27070

Q

Your vessel measures 131 feet long by 20 feet in beam. If the natural rolling period at a draft of 8'-03" is 6 seconds, what is the GM?

🔍 Key Concepts

• Use the rolling period formula that relates GM, beam, and rolling period • Be careful with unit conversions, especially inches to feet • Understand how beam (B) and GM appear in the formula (numerator vs. denominator)

💭 Think About

• What is the standard formula that connects rolling period (T), beam (B), and metacentric height (GM) for ships of ordinary form? • Once you plug the known values into the formula, does GM increase or decrease when the rolling period is longer? Does your answer make physical sense? • After computing GM, which choice is closest to your result when rounded properly?

✅ Before You Answer

• Convert 8'-03" correctly if it is actually needed in the formula—ask yourself whether draft really enters the rolling period equation here • Check that beam is in feet and period is in seconds before using the constant in the formula • After solving, confirm that your GM value is positive and reasonable for a vessel of this size (not extremely small or extremely large).