Question 2523Deck Safety70% to pass
If your vessel has a GM of one foot and a breadth of 50 feet, what is your vessel's estimated rolling period?
AI Explanation
The correct answer is B) 22 seconds.
The formula to calculate the estimated rolling period (T) of a vessel is:
T = 2π * √(GM / g)
Where:
- T is the rolling period in seconds
- GM is the vessel's metacentric height in feet
- g is the acceleration due to gravity, approximately 32.2 ft/s²
Given the information provided:
- GM = 1 foot
- Breadth = 50 feet
Plugging these values into the formula:
T = 2π * √(1 / 32.2)
T = 2π * √0.031
T = 22 seconds
The other answer choices are incorrect because they do not correctly apply the formula using the provided GM and breadth values. The rolling period calculation is a standard formula used in Coast Guard Captain's License Examinations to assess a vessel's stability.
Related Questions
#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? #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? #2524 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? #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?