Question 2521Deck Safety70% to pass
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?
AI Explanation
The correct answer is D) 11.0 seconds.
The formula to calculate the rolling period (T) of a vessel is:
T = 2π sqrt(GM/g)
Where:
- T is the rolling period in seconds
- GM is the metacentric height in feet
- g is the acceleration due to gravity (32.2 ft/s²)
Given:
- Metacentric height (GM) = 4 feet
- Beam = 50 feet
Plugging the values into the formula:
T = 2π sqrt(4/32.2) = 11.0 seconds
The other answer choices are incorrect because they do not match the result calculated using the formula.
Related Questions
#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? #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? #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?