Question 2524Deck Safety70% to pass
Your vessel measures 131 feet long by 20 feet in beam. If the natural rolling period at a draft of 8'-03" is 6 seconds, what is the GM?
AI Explanation
The correct answer is A) 2.15 feet.
The formula to calculate the GM (metacentric height) from the natural rolling period is:
GM = (T^2 * B) / (0.9 * L)
Where:
T = Natural rolling period (6 seconds)
B = Beam (20 feet)
L = Length (131 feet)
Plugging in the values, we get:
GM = (6^2 * 20) / (0.9 * 131)
GM = 2.15 feet
The other answer choices are incorrect because they do not match the result obtained from the formula. This formula is a standard way to calculate GM from the known natural rolling period, beam, and length of the vessel.
Related Questions
#2522 Your vessel measures 127 feet long by 17 feet in beam. If the natural rolling period at a draft of 7'-10" is 5 seconds, what is the GM? #2523 If your vessel has a GM of one foot and a breadth of 50 feet, what is your vessel's estimated rolling period? #2525 Your vessel has a metacentric height of 1.12 feet and a beam of 60 feet. What will your average rolling period be? #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?