On a vessel of 34,000 tons displacement, a tank 80 ft. long, 60 ft. wide and 30 ft. deep is half filled with fresh water (SG 1.000) while the vessel is floating in saltwater (SG 1.026). What is the free surface constant for this tank?
⢠Free surface effect and how it is represented by a free surface constant (FSC) ⢠Relationship between displacement, specific gravity (SG) of the surrounding water, and the vesselâs displacement volume ⢠Correct units for free surface calculations and how tank dimensions affect FSC
⢠How do you convert a vesselâs displacement in tons to a displacement volume in cubic feet, considering the specific gravity of the outside water? ⢠How does the moment of inertia of the liquid surface in the tank (using its length and breadth) relate to the free surface constant? ⢠Should the depth of the tank or the fact that it is half full directly affect the free surface constant, or only the free surface correction?
⢠Be sure you are using consistent units (feet, cubic feet, tons) throughout the calculation. ⢠Verify whether the free surface constant depends on the area of the free surface only, or on the volume (and depth) of the liquid. ⢠Double-check that you are using the vesselâs displacement in tons and converting correctly to the displacement volume using the given specific gravity of saltwater.
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