Question 2469Deck Safety70% to pass
To check stability, a weight of 10 tons is lifted with the jumbo boom whose head is 45 ft. from the ship's centerline. The clinometer show's a list of 5.0° with weight suspended. Displacement including the weight is 9,000 tons. What would be the GM in this condition?
AI Explanation
The correct answer is A) 0.57 foot.
To calculate the GM (Metacentric Height) in this condition, we can use the formula GM = Displacement * tan(Angle of List) / Weight Lifted.
Given:
- Weight lifted = 10 tons
- Distance of weight from centerline = 45 ft
- Angle of list = 5.0°
- Displacement = 9,000 tons
Plugging these values into the formula, we get:
GM = (9,000 tons * tan(5.0°)) / (10 tons)
GM = (9,000 * 0.0875) / 10
GM = 0.57 foot
The other options are incorrect because they do not match the calculated value of 0.57 foot, which is the correct answer based on the given information and the formula for determining GM.
Related Questions
#2467 To check stability, a weight of 35 tons is lifted with the jumbo boom, whose head is 35 feet from the ship's centerline. The clinometer shows a list of 7.0° with the weight suspended. Displacement including the weight is 14,000 tons. What would the length of GM in this condition? #2468 To check stability, a weight of 40 tons is lifted with the jumbo boom, whose head is 40 feet from the ship's centerline. The clinometer shows a list of 6.5° with the weight suspended. Displacement including weight is 16,000 tons. What would be the GM while in this condition? #2470 In order to check your vessel's stability, a weight of 40 tons is lifted with the jumbo boom, the boom head being 50 feet from the ship's centerline. The clinometer is then carefully read and shows a list of 5°. The vessel's displacement is 8,000 tons including the suspended weight. What will be the metacentric height of the vessel at this time? #2471 What is the reduction in metacentric height due to free surface when a tank 60 feet long and 30 feet wide is partially filled with salt water, and is fitted with a centerline bulkhead? (The vessel has a displacement of 10,000 tons.) #2472 On a vessel of 9,000 tons displacement, compute the reduction in metacentric height due to free surface in a hold having free water on the tank tops. The hold is 20 feet long and 30 feet wide. What is the reduction in metacentric height?