Your vessel's has a beam of 60 feet, and you observe a still water rolling period of 25 seconds. What is the vessel's metacentric height?
• Approximate rolling period formula that relates beam, rolling period, and metacentric height (GM) for a ship in still water • How long rolling periods compare with small or large GM (think: is the ship "stiff" or "tender"?) • Importance of matching units (feet, seconds) when using stability formulas
• Is a 25‑second rolling period considered short or long for a 60‑foot beam vessel, and what does that suggest about GM being large or small? • If you plug the numbers into the standard rolling period/GM formula, which choice best matches the magnitude you’d expect (fractions of a foot vs several feet)? • As GM gets smaller, does the rolling period get longer or shorter according to the formula you studied?
• Be sure you are using the correct rolling period–GM formula (for still water, small angles) and not a different stability formula • Check that you square the period where required and keep beam in feet and time in seconds consistently • After you compute GM, ask: does the numerical size make physical sense for a vessel that rolls this slowly?
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