Metacenter Height
Metacenter Height - Related Videos
10:18
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Cited by 26 •
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Multilayer microfluidic devices often involve the fabrication of master molds with complex geometries for functionality. This article presents a complete protocol for multi-step photolithography with valves and variable height features tunable to any application. As a demonstration, we fabricate a microfluidic droplet generator capable of producing hydrogel beads.
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Here, we present a novel protocol to measure positional stability at key events during the sit-to-stand-to-walk using the center-of-pressure to the whole-body-center-of-mass distance. This was derived from the force platform and three-dimensional motion-capture technology. The paradigm is reliable and can be utilized for the assessment of neurologically compromised individuals.
13:10
Stability of Floating Vessels
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2023
Source: Alexander S Rattner and Kevin Rao Li Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA The objective of this experiment is to demonstrate the phenomenon of stability of floating vessels - the ability to self-right when rolled over to the side by some external force. Careful design of hull shapes and internal mass distribution enables seagoing vessels to be stable with low drafts (submerged depth of hull), improving vessel...
08:52
Energy and Work
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2023
Source: Ketron Mitchell-Wynne, PhD, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA This experiment demonstrates the work-energy principle. Energy is one of the most important concepts in science and is not simple to define. This experiment will deal with two different kinds of energy: gravitational potential energy and translational kinetic energy. Gravitational potential energy is defined as the energy an object...
07:28
Pitot-static Tube: A Device to Measure Air Flow Speed
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2023
Source: David Guo, College of Engineering, Technology, and Aeronautics (CETA), Southern New Hampshire University (SNHU), Manchester, New Hampshire A Pitot-static tube is widely used for measuring unknown speeds in air flow, for example, it is used to measure airplane airspeed. By Bernoulli's principle, airspeed is directly related to variations in pressure. Therefore, the Pitot-static tube senses the stagnation pressure and static pressure. It is connected to a manometer or pressure transducer...
FAQs
A small heel changes the shape of the vessel’s underwater volume, so the center of buoyancy shifts from its original position. The buoyant force then acts along a changed line relative to the vessel’s center of gravity. This altered force relationship determines whether the resulting moment tends to return the vessel toward upright equilibrium or increase its heel.
Hull geometry governs how the underwater volume changes when the vessel heels, which affects the shift in the center of buoyancy and the resulting metacenter position. The center of gravity provides the reference point for measuring metacenter height. Consequently, a vessel’s initial stability depends on the interaction between its shape and the vertical location of its mass.
A positive metacentric height generally corresponds to stable initial equilibrium because the buoyancy-related moment tends to oppose a small heel. A small value indicates reduced stability, leaving less margin against changes in orientation. A negative value signals potential instability, where the resulting moment can promote rather than resist heeling and may contribute to capsizing.
The direction of the moment depends on the relative positions of the center of gravity, the metacenter, and the shifted buoyant-force line after heeling. If their geometry produces a moment toward the upright position, the moment is restoring. If the arrangement produces a moment that increases heel, it is overturning, indicating an unfavorable initial stability condition.
Engineers assess metacenter height for the vessel’s loading conditions because changes in loading can alter the center of gravity and therefore the stability relationship. Comparing conditions helps identify cases with reduced or unfavorable initial stability. This evaluation supports decisions about how a vessel should be loaded and whether its configuration provides an acceptable margin for safe operation.
During hull design, engineers consider how the vessel’s geometry affects the center-of-buoyancy shift during a small heel and the resulting metacenter position. The same measure supports safety evaluations for marine structures and operational configurations. By identifying designs or loading states associated with reduced stability, engineers can improve the vessel’s resistance to heeling and potential capsizing.