🔍 Key Concepts

• Metacentric height (GM) and how it relates to rolling period • Standard rolling-period formula that links T, beam (B), and GM • Importance of converting all lengths into the same units (feet) before calculating

💭 Think About

• What is the common stability formula that connects rolling period (T), beam (B), and GM for a vessel in feet and seconds? Write it down and solve it symbolically for GM first. • After solving algebraically, plug in the given values for beam and rolling period. Are you sure you are using the correct form of the formula (check whether B is squared or under a square root)? • Once you compute a numerical value for GM, which choice is closest to your result? Does that value make sense for a relatively narrow 119-foot vessel with a 6-second roll period (quick roll vs. slow roll)?

✅ Before You Answer

• Convert the beam from 17 feet directly (no conversion needed), but make sure you don’t mistakenly use the vessel’s length instead of the beam. • Double-check that the rolling period (T = 6 seconds) is correctly placed in the formula (numerator vs. denominator and whether it is squared). • After calculating GM, compare it with typical small-vessel GM values (on the order of a few feet or less) to see if the result is physically reasonable before choosing your answer.