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Buoyancy and Stability for Submerged and Floating Bodies01:11

Buoyancy and Stability for Submerged and Floating Bodies

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In fluid mechanics, buoyancy and stability are key concepts for understanding the behavior of submerged and floating bodies. When a stationary body is fully or partially submerged in a fluid, the fluid exerts a force on the body known as the buoyant force. This force acts vertically upward through a point called the center of buoyancy, which is the center of the displaced fluid volume. According to Archimedes' principle, the magnitude of the buoyant force is equal to the weight of the fluid...
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The origin of Earth's ocean tides has been a subject of continuous investigation for over 2000 years. However, the work of Newton is considered to be the beginning of the proper understanding of the phenomenon. Ocean tides are the result of gravitational tidal forces. These same tidal forces are present in any astronomical body; they are responsible for the internal heat that creates the volcanic activity on Io, one of Jupiter's moons, and the breakup of stars that get too close to...
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During leveling, the Earth's curvature and atmospheric refraction introduce deviations in the line of sight from a true horizontal reference. When the line of sight is leveled, it remains perpendicular to the plumb line only at a single point. Beyond this, it deviates due to the Earth’s curvature, represented by the correction C. For a sight distance D, the deviation can be derived using the relationship:This relationship shows that the deviation increases quadratically with distance. Over a...
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Buoyancy01:12

Buoyancy

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When an object is placed in a fluid, it either floats or sinks. All objects in a fluid experience a buoyant force. For example, a metal ball sinks, while a rubber ball floats. Similarly, a submarine can sink and float by adjusting its buoyancy.  The concept of buoyancy raises several interesting questions. For instance, where does this buoyant force come from? How much buoyant force is required to make an object sink or float? Do objects that sink get any support at all from the...
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Density and Archimedes' Principle01:05

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When a lump of clay is dropped into water, it sinks. But if the same lump of clay is molded into the shape of a boat, it starts to float. Because of its shape, the clay boat displaces more water than the lump and experiences a greater buoyant force, even though its mass is the same. The same holds true for steel ships. The average density of an object majorly determines if the object will float. If an object's average density is less than that of the surrounding fluid, it will float. The...
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Archimedes' Principle01:13

Archimedes' Principle

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Archimedes' principle states that an upward buoyant force exerted on a body that is immersed partially or entirely in a fluid is equal to the weight of the fluid displaced by it. To understand how much buoyant force is needed to make an object float, let us think about what happens when a submerged object is removed from a fluid. If the object were not in the fluid, the space occupied by the object would be filled by the fluid having a weight wfl. This weight is supported by the...
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Related Experiment Video

Updated: Feb 18, 2026

Design and Use of an Apparatus for Quantifying Bivalve Suspension Feeding at Sea
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Tidal tomography constrains Earth's deep-mantle buoyancy.

Harriet C P Lau1, Jerry X Mitrovica1, James L Davis2

  • 1Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts, USA.

Nature
|November 17, 2017
PubMed
Summary

Earth's solid Earth tide reveals that Large Low Shear Velocity Provinces (LLSVPs) beneath Africa and the Pacific are denser than previously thought. This suggests their buoyancy is dominated by high-density chemical components, impacting mantle dynamics.

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Area of Science:

  • Geophysics
  • Earth Science
  • Seismology

Background:

  • The body tide, or solid Earth tide, is the displacement of Earth's surface due to lunar and solar gravity.
  • Large Low Shear Velocity Provinces (LLSVPs) are massive structures at the core-mantle boundary, whose buoyancy is debated.
  • Understanding LLSVP density is crucial for mantle dynamics and Earth's evolution.

Purpose of the Study:

  • To constrain the deep-mantle buoyancy of LLSVPs using body tide deformation.
  • To investigate the density anomalies within the African and Pacific LLSVPs.

Main Methods:

  • Utilized tidal tomography, analyzing semi-diurnal body tide deformation.
  • Employed Global Positioning System (GPS) measurements for precise surface displacement data.
  • Applied a probabilistic approach to analyze density variations.

Main Results:

  • Showed that the lower two-thirds of LLSVPs have a mean density approximately 0.5% higher than the surrounding mantle.
  • Indicated that this density anomaly might be concentrated at the very base of the mantle.
  • Constrained the mean buoyancy of the LLSVPs to approximately -0.5%.

Conclusions:

  • LLSVPs' buoyancy is primarily driven by enrichment of high-density chemical components.
  • Subducted oceanic plates or primordial material are likely sources for these dense components.
  • The density structure of LLSVPs has significant implications for mantle convection, LLSVP stability, and long-term Earth system evolution.