Question 2531Deck Safety70% to pass
You are loading cargo on deck aboard a vessel whose beam is 60 feet and full period of roll is 20 seconds. What is the estimated metacentric height of the vessel?
AI Explanation
The correct answer is C) 1.7 ft.
The metacentric height (GM) of a vessel can be estimated using the formula: GM = B^2 / (2 * T * P^2), where B is the beam of the vessel, T is the full period of roll, and P is the acceleration due to gravity (typically 32.2 ft/s^2).
Plugging in the given values, we get: GM = (60 ft)^2 / (2 * 20 s * 32.2 ft/s^2) = 1.7 ft.
The other options are incorrect because they do not match the result of the calculation using the provided formula and vessel dimensions.
Related Questions
#2529 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? #2530 Your vessel's has a beam of 40 feet, and you observe a still water rolling period of 20 seconds. What is the vessel's metacentric height? #2532 Your vessel has a displacement of 10,000 tons. It is 350 feet long and has a beam of 55 feet. You have timed its rolling period to be 15.0 seconds. What is your vessel's approximate GM? #2533 Your vessel has a displacement of 24,500 tons. It is 529 feet long and has a beam of 71 feet. You have timed your vessel's rolling period to be 25.0 seconds. What is your vessel's approximate GM? #2534 Your vessel measures 125 feet long by 17 feet in beam. If the natural rolling period at a draft of 7'-09" is 6 seconds, what is the GM?