Question 4844Deck General70% 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?
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.
Related Questions
#4842 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 GMT? #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? #4845 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? #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?