Question 2529Deck Safety70% to pass
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?
AI Explanation
The correct answer is B) 1.1 ft.
The formula to calculate the metacentric height (GM) of a vessel is:
GM = B^2 / (12 * T)
Where:
B = Beam of the vessel (in feet)
T = Rolling period of the vessel (in seconds)
Given:
Beam (B) = 60 feet
Rolling period (T) = 25 seconds
Plugging these values into the formula:
GM = 60^2 / (12 * 25)
GM = 3600 / 300
GM = 1.1 feet
The other options are incorrect because they do not match the result obtained from the formula. Option A (0.8 ft) is too low, while options C (1.4 ft) and D (1.6 ft) are too high.
Related Questions
#2527 You are on a vessel that has a metacentric height of 1.0 foot and a beam of 40 feet. What can you expect the rolling period of the vessel to be? #2528 Your vessel measures 122 feet long by 18 feet in beam. If the natural rolling period at a draft of 6'-09" is 5 seconds, what is the GM? #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? #2531 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? #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?