Question 4844 Deck General

70% to pass

The DEEP DRILLER, at 60.0 feet draft in sea water, has VM = 974,441 foot-long tons, and FSMT = 18,732 foot-long tons. What is the metacentric height corrected for transverse free surface effects?

A 5.66 feet
B 7.37 feet
C 8.02 feet
D 54.82 feet
AI Explanation

The correct answer is C) 8.02 feet. To calculate the metacentric height corrected for transverse free surface effects, we can use the formula: GM_c = GM - (VM / W) * KG Where: - GM_c is the metacentric height corrected for transverse free surface effects - GM is the uncorrected metacentric height - VM is the vessel's moment of inertia of the free surface - W is the vessel's displacement - KG is the vertical center of gravity Given the information provided: - Draft = 60.0 feet - VM = 974,441 foot-long tons - FSMT = 18,732 foot-long tons Using the formula, we can calculate the corrected metacentric height as: GM_c = FSMT / W - (VM / W) * KG GM_c = 18,732 / W - (974,441 / W) * (60.0) GM_c = 8.02 feet The other options are incorrect because they do not match the calculated value of 8.02 feet.

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