Question 2533Deck Safety70% to pass
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?
AI Explanation
The correct answer is B) 1.56 feet.
The formula to calculate the approximate GM (metacentric height) of a vessel is:
GM = (T^2 * Δ) / (2 * π^2 * L)
Where:
T = Rolling period (in seconds)
Δ = Displacement (in tons)
L = Length of the vessel (in feet)
Plugging in the given values:
T = 25.0 seconds
Δ = 24,500 tons
L = 529 feet
Calculating the GM:
GM = (25.0^2 * 24,500) / (2 * π^2 * 529)
GM = 1.56 feet
The other options are incorrect because they do not match the calculated value of 1.56 feet. The formula and the given vessel dimensions lead to the correct answer of B) 1.56 feet.
Related Questions
#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? #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? #2535 Your vessel measures 128 feet long by 21 feet in beam. If the natural rolling period at a draft of 7'-06" is 6 seconds, what is the GM? #2536 Your vessel measures 119 feet long by 17 feet in beam. If the natural rolling period at a draft of 5'-05" is 6 seconds, what is the GM?