Question 4845Deck General70% 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?
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.
Related Questions
#4843 The DEEP DRILLER, loaded as shown in the Sample Load Form #4 (Drilling), discharges a non-liquid load of 275.8 long tons from a position 130 feet above the keel, 40 feet forward of amidships, and 30 feet to port of the centerline. What is the new KGL? #4844 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? #4846 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 longitudinal free surface correction to KG? #4847 While underway in a field move with the lower hulls awash, a semisubmersible has an allowable KG of 63.69 feet; KMT is 65.12 and KML is 64.92. The KGT is 56.13 and KGL is 55.89. What is the GML? #4848 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 KG corrected for transverse free surface effects?