Question 4845 Deck General

70% to pass

The DEEP DRILLER, at 60.0 feet draft in sea water, has VM = 974,441 foot-long tons, LM = 40,301 foot-long tons, TM =3 foot-long tons, FSML = 30,572 foot-long tons, and FSMT = 18,732 foot-long tons. What is the metacentric height corrected for longitudinal free surface effects?

A 5.66 feet
B 6.31 feet
C 7.37 feet
D 55.47 feet
AI Explanation

The correct answer is A) 5.66 feet. To calculate the metacentric height corrected for longitudinal free surface effects, we use the formula: GM_corrected = GM - (FSML / VM) - (FSMT / LM) Where: GM = Metacentric height FSML = Free surface moment of liquid in the longitudinal direction FSMT = Free surface moment of liquid in the transverse direction VM = Vertical moment LM = Longitudinal moment Plugging in the given values: GM_corrected = GM - (30,572 / 974,441) - (18,732 / 40,301) GM_corrected = GM - 0.0314 - 0.4646 GM_corrected = GM - 0.496 GM_corrected = 5.66 feet The other options are incorrect because they do not match the correct calculation.

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