Metacentric Height Quiz

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Questions and Answers

Which of the following best describes the metacentric height?

  • The distance between the center of gravity and the center of buoyancy of a floating body
  • The distance between the center of buoyancy and the metacenter of a floating body
  • The distance between the center of gravity and the metacenter of a floating body (correct)
  • The distance between the center of buoyancy and the center of gravity of a floating body

How does metacentric height affect the natural period of rolling of a hull?

  • Very large metacentric heights are associated with longer periods of roll
  • Unknown effect of metacentric height on the period of roll
  • Metacentric height has no effect on the period of roll
  • Very large metacentric heights are associated with shorter periods of roll (correct)

What is considered ideal for passenger ships in terms of metacentric height?

  • Metacentric height has no relevance for passenger ships
  • A low metacentric height
  • An excessively high metacentric height
  • A sufficiently high but not excessively high metacentric height (correct)

What does a larger metacentric height imply?

<p>Greater initial stability against overturning (A)</p> Signup and view all the answers

What does the apparatus shown in Fig. 1 consist of?

<p>A pontoon, a water tank, and a sliding weight (A)</p> Signup and view all the answers

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Study Notes

Metacentric Height

  • Metacentric height is a measure of a vessel's initial stability, representing the distance between the center of gravity and the metacenter.
  • A larger metacentric height implies a higher stability and resistance to capsizing.
  • In passenger ships, an ideal metacentric height is considered around 1-2 meters to provide a comfortable and stable ride.

Natural Period of Rolling

  • The metacentric height affects the natural period of rolling, with a higher metacentric height resulting in a shorter period of rolling.

Fig. 1 Apparatus

  • The apparatus shown in Fig. 1 consists of an inclining experiment setup, used to measure the metacentric height of a vessel.

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