Find The Initial Metacentric Height

Vessel of 11,000 tons displacement has a moment of statical stability of 500 tons/meters when heeled 5°. Find the initial metacentric height.

Given:

Displacement = 11,000 tons
 Angle of heel = 5°
             MSS = 500 tons/meters

What is asked:

Initial metacentric height

Solution:

Metacentric height is also known as GM.

GM =  Moment of Statical Stability 
              Displacement x Sin Ɵ
   
       =     500 tons/meters      
           11,000 tons x Sin 5°
       = 500 tons/meters
           958.71 tons 
       =  0.522 meters is the initial metacentric height

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