Question 2518Deck Safety70% to pass
You are at sea on a vessel that has a beam of 50 feet, and you calculate the period of roll to be 22 seconds. What is the vessel's metacentric height?
AI Explanation
The correct answer is B) 1.0 ft.
The formula for calculating the metacentric height (GM) of a vessel based on the period of roll is:
GM = (B^2 * T^2) / (3 * 2 * pi^2)
Where:
B = beam of the vessel in feet
T = period of roll in seconds
Plugging in the given values:
B = 50 ft
T = 22 seconds
GM = (50^2 * 22^2) / (3 * 2 * pi^2)
GM = 1.0 ft
The other options are incorrect because they do not match the value calculated using the formula. The formula is the standard method for determining metacentric height from the period of roll, and it shows that the correct answer is 1.0 ft.
Related Questions
#2516 Your vessel has a displacement of 19,800 tons. It is 464 feet long, and has a beam of 64 feet. You have timed its rolling period to be 21.0 seconds in still water. What is your vessel's approximate GM? #2517 The period of roll is the time difference between _______________.#2519 When the wave period and the apparent rolling period are the same _______________.#2520 Your vessel measures 114 feet long by 16 feet in beam. If the natural rolling period at a draft of 5'-06" is 6 seconds, what is the GM? #2521 You are on a vessel that has a metacentric height of 4 feet, and a beam of 50 feet. What can you expect the rolling period of the vessel to be?