FM-1849-03 Metacentric Height Apparatus

Experiments

  • Determination of the metacentric height, and thus the metacentre, of a floating pontoon.
  • This is by graphic analysis of the angles of tilt of the pontoon with various centres of gravity.
  • Determination of buoyancy, centre of buoyancy.

Specification

  • Water tank: Moulded plastic, nominally 600mm x 400mm x 120mm
  • Floating pontoon: 350mm x 200mm x 90mm
  • Angular tilt of pontoon: Nominally 15o each side of the vertical centre line
  • Working height of sail: 240 mm
  • Adjustable sail weight: 525g approx.

Description

Determination and analysis of the stability of floating bodies, such as ships, rafts and pontoons, is important throughout many branches of engineering. This experiment allows students to determine the stability of a pontoon with its centre of gravity at various heights. They can then compare this to predictions calculated from theory. The experiment consists of a rectangular pontoon floating in water made of plastic. The pontoon has a plastic sail with five rows of slots. These rows are at equally spaced heights on the sail. The slots are equally spaced around the centre line. To change the centre of gravity and the tilt (list) angle of the pontoon, students fit an adjustable weight into one of the slots. A plumb line from the top center and from the left side used to measure the center of gravity of the floating body. The scale with indicator indicates the till angle of floating body. Students obtain fore and aft balance by positioning two small trim weights on the bottom of the pontoon.