Question From Readers #19: Metacentric Height

Metacentric Height

A vessel with a beam of 72 feet, has an average rolling period of 18 seconds. What would be her metacentric height?


Given:

                    Beam = 72 feet
        Rolling period = 18 seconds

Solution:

Metacentric Height = ((Beam x 0.44) ÷ Rolling Period)²

I used 0.44 to multiply the ship's beam because the unit is feet.

                       GM = ((B x 0.44) ÷ RP)²
                             = ((72 ft x 0.44) ÷ 18)²
                             = (31.68 ft ÷ 18)²
                             = (1.76)²
                             = 3.09 ft will be the metacentric height(GM)

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