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Metacentric height

  • Thread starter logearav
  • Start date
1. The problem statement, all variables and given/known data

In a ship of 10000 tons, the breadth of whose deck is 20 m, a mass of 50 tons is moved from one side to the other causing the bob of a plumb line 10 m long to move over 20 cm. Find the metacentric height?

2. Relevant equations



3. The attempt at a solution
I dont know whether this is correct.
Metacentric height = wx/Wθ
Where w = 50 ton, x = 10 m, W = 10000 tons. I dont know how to calculate θ? Is it sinθ or tanθ? Because for small angles both sinθ and cosθ is equal to θ.
Revered members can help
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
 

Spinnor

Gold Member
2,060
256
Thanks Spinnor, i meant tanθ, which i erroneously entered as cos. So θ = .02.
Do the formula i used to arrive at the solution is correct?
 

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