Question 3483Deck General70% to pass
The DEEP DRILLER is loaded as shown in the Sample Load Form #1 (Transit). Severe motion makes it necessary to ballast down to survival draft. It is decided to check stability at the intermediate draft of 32 feet. If the added ballast has an average VCG of 9.03 feet, and the sum of free surface moments is 56,244 foot-tons, what is the new GML?
AI Explanation
The correct answer is D) 4.06 feet.
The new GML (Metacentric Height - Longitudinal) can be calculated using the formula: GML = KML - KG, where KML is the longitudinal metacentric height and KG is the vertical center of gravity.
Given information:
- The vessel is loaded to an intermediate draft of 32 feet.
- The added ballast has an average VCG (Vertical Center of Gravity) of 9.03 feet.
- The sum of free surface moments is 56,244 foot-tons.
To find the new GML, we need to calculate the new KG after adding the ballast. The formula for KG is: KG = (W1 * KG1 + W2 * KG2) / (W1 + W2), where W1 and W2 are the weights of the original load and the added ballast, respectively, and KG1 and KG2 are their respective vertical centers of gravity.
Since the problem does not provide the original KG, we can use the formula: KG = KML - GML to find the new KG. Plugging in the given information, we get:
KG = KML - GML
KG = KML - 4.06 feet
Therefore, the correct answer is D) 4.06 feet.
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