Floatation: Basics, Archimedes Principle and Applications

Definition of Flotation

An object suspended in water or the balloon rising in air is not just a random process. A deep physics is lying beside in both the processes. Same principle can characterize both motions, which is called the Archimedes principle. And the process of getting suspended or risen in fluids is called the floatation. 

A static fluid shows this surprising phenomena due to the relative density and volume of the object and the fluid. Understanding this mechanism would be a critical aspect  while dealing with natural phenomena, engineering applications, and industrial processes. The pushing and pulling of fluid force and the attracting behavior of gravity serves as a lead to generate floatation. All the reasons for floatation, its measurement and importances are described in this article.

Floatation

Archimedes’ Principle: Why Objects Float or Sink

Archimedes’ Principle discovered the correct mechanism of flotation reasoning why objects float or sink. According to him, the density was the major factor for floatation. He genuinely urges that objects with densities less than that or equal to that of the fluid keep floating on it, may be partially or fully. The submerging objects also drip some volume of fluids which is equal to the objectโ€™s weight. Another term Archimedes uses is the buoyant force which comes in account for those objects submerging in the fluid. Flotation is also possible for large surfaced heavier objects, if they expel out that volume of fluid equal to their weight. 

In contrast, a sinking object has greater density than that of the fluid and hence cannot throw equal volume of fluid to its weight. Therefore, a small object can also be seen drowning. 

Flotation Formula Explained (FB = ฯ g V)

The buoyant force can be calculated through Archimedesโ€™ principle which keeps any object submerged in water. The formula is given as;

FB = ฯ g V [Equation 1]

Where:

  • FB = Buoyant force
  • ฯ = Density of the fluid (kg/mยณ)
  • g = Acceleration due to gravity (9.81 m/sยฒ)
  • V = Volume of fluid displaced by the object (mยณ)

This formula shows the buoyant force dependancy on the fluid’s density, the volume displaced, and gravity. 

Density and Displaced Volume: Key Factors in Flotation

Floatation is the property of an object influenced by the density fluctuations and its capacity to displace the fluid volume. How it gets affected is discussed below:

  • Density (Mass/Volume): From equation [1] we see FB โˆ ฯ. The buoyant force increases with the rise of density of the fluid and hence fluid pushes with greater force against the gravity to the less dense object and make it float.
  • Displaced Volume: Also  from equation [1], FB โˆ V. Thus, the greater amount of fluid displaced by an object has positive effect on the buoyant force. Hollow objects, like boats, displace a large volume relative to their mass, which increases their ability to float.

These two factors are the major requirements to deal while learning and designing the floating structures.

Surface Tension and Flotation of Small, Non-Wetting Objects

Archimedesโ€™ principle only cares for the submerged object and not the fully floating light-weight objects or the sunken objects. There are also some water-repelling objects which float instead of having greater densities. Thus the remaining physics is described with the help of surface tension. Surface tension is fully governed by the force of fluid molecules at the surface which is called the cohesive force.

The tension of fluid molecules forms an elastic-like barrier at the fluidโ€™s surface due to attraction of the molecules at the surface. These forces are robust enough to overcome gravity and block small, though heavy objects, such as a paper clip or a needle from entering the liquid during its resting position on the surface. Thus to make it float, the object must be small, have a smooth or non-wettable surface, and spread itself across a large enough area.

In the fields of biology and microfluidics, our usual buoyancy has little influence because of the dimension. Thus, the mechanism of floatation is a bit different and equally important in these fields. The engineers rely on surface tension principles to create lab-on-a-chip gadgets. Same principle is utilized by insects to move across water. The behavior also explains why oil droplets or dust particles could float on water surfaces.

The key point is to say that surface tension is not an alternative to traditional buoyancy, but offers a different case of floatation which was left unanswered by Archimedes.

Real-World Examples: Boats, Submarines, Life Jackets, Balloons

  • Boats:In order to generate sufficient buoyant force to carry enormous loads, big hulls are built to displace large amounts of water and remain alive.
  • Submarines: Submarines control their flotation through the ballast tanks. They gain their density by filling the tanks with water and stay submerged inside. Again, to rise, release water out and fill their space with air.
  • Life Jackets: These are made of materials that are significantly less dense than water, such as foam or inflated materials. They are essential in emergency situations because they offer significant buoyancy to keep a person’s head above water.
  • Balloons: Balloons are packed with lighter gases like hydrogen or helium which allo them rise in the atmosphere being less dense than the external air. The balloon maintains its height by expanding itself when the altitude increases, making air pressure to decrease.
  • Floating Docks: Air-filled chambers or inflated polymers are used to construct flexible floating docks. They are frequently utilized in rescue missions to support people, cars, or equipment on the water and also in the ship lifting for repair..
  • Hot Air Balloons: These balloons rise due to less dense hot air inside than the cooler air outside. Pilots control altitude by adjusting the temperature inside the balloon.

These examples show flotation applied across different media: water and air, and in both engineered and natural systems.

Froth Flotation in Mineral Processing and Ore Separation

Froth flotation is a widely employed technique in the mineral extraction industries. This process involves:

  • Crushing and grinding the ore.
  • Mix it with water to create a slurry.
  • Adding reagents that make desired particles hydrophobic.
  • Blowing air through the slurry to form bubbles.
  • Non-wet or dry particles rise to the surface, forming froth.
  • Froth is skimmed off, concentrating the mineral.

By making it possible to separate low-grade ores, froth flotation transformed the ore processing industry.

Factors That Affect Flotation Efficiency (Fluid Density, Viscosity, Shape)

Several factors influence the floating of objects. Some major factors are:

  • Fluid Density: Higher fluid density increases buoyant force.
  • Viscosity:The rising of bubbles or particles is hindered by high viscosity fluids’ . This can block the motion.
  • Shape of Object: Flat or broad surfaces displace more fluid, improving the floatation..
  • Surface Conditions: It’s possible that damp surfaces sink more readily than dry ones.
  • Environmental Conditions: Temperature and some environmemtal impurities may alter fluid properties.

Managing these elements improves operational efficiency and recovery rates in industrial operations.

Instruments and Experiments for Demonstrating Flotation

Flotation principles can be observed and measured using simple devices and certain experiments:

  • Hydrometer: Measures fluid density based on flotation.
  • Displaced Volume measurement: By immersing things and measuring the amount of water displaced, Archimedes’ Principle can be demonstrated.
  • Needle on Water: To show the effect of surface tension on objects.
  • Laboratory Flotation Cells: Used in schools and industry to show ore flotation processes.

Common Misconceptions About Flotation Clarified

  • Heavier objects always sink: This doesnโ€™t occur always. A heavy object like ship  floats by displacing enough fluid .
  • Floating means zero gravity: Floatation occurs due to the opposed gravitation by the fluidโ€™s force which balances the objectโ€™s motion above the fluid.
  • Only water supports flotation: Flotation can occur in any fluid, including air.
  • An object must be hollow to float: Solid objects with low density or sufficient surface area can float easily.

Environmental and Industrial Importance of Flotation

Flotation has wide-ranging environmental and industrial relevance:

  • Wastewater Treatment: Flotation removes oils, greases, and suspended solids.
  • Oil Spill Cleanup: Skimming and flotation techniques recover oil from water surfaces.
  • Mineral Recovery: Froth flotation extracts precious metals like gold, copper, and rare earth elements.
  • Recycling: Flotation separates plastics based on density for reuse.
  • Food Processing: Used to remove defects from grains or fruits.

These applications demonstrate how flotation supports sustainability and resource efficiency.

Conclusion

A key idea in material separation and fluid dynamics is flotation. Flotation is a fundamental aspect of daily life to advanced industrial processes and structural designs. It has been guided by Archimedes’ Principle and supported by features such as fluid density and object shape. Its advances underlined by specialized techniques such as surface tension-driven flotation in biology and froth flotation in mining. Understanding the fundamentals of flotation helps us to behold the natural world with wider knowledge.

References

Mohazzab, P. (2017). Archimedesโ€™ principle revisited.ย Journal of Applied Mathematics and Physics,ย 5(04), 836.

Kireลก, M. (2007). Archimedesโ€™ principle in action.ย Physics education,ย 42(5), 484.

Hughes, S. W. (2006). Measuring liquid density using Archimedesโ€™ principle.ย Physics Education,ย 41(5), 445.

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About Author

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Rabina Kadariya

Rabina Kadariya is a passionate physics lecturer and science content writer with a strong academic background and a commitment to scientific education and outreach. She holds an M.Sc. in Physics from Patan Multiple Campus, Tribhuvan University, where she specialized in astronomy and gravitational wave research, including a dissertation on the spatial orientation of angular momentum of galaxies in Abell clusters. Rabina currently contributes as a content writer for ScienceInfo.com, where she creates engaging and educational physics articles for learners and enthusiasts. Her teaching experience includes serving as a part-time lecturer at Sushma/Godawari College and Shree Mangaldeep Boarding School, where she is recognized for her ability to foster student engagement through interactive and innovative teaching methods. Actively involved in the scientific community, Rabina is a lifetime member of the Nepalese Society for Women in Physics (NSWIP). She has participated in national-level workshops and presented on topics such as gravitational wave detection using LIGO/VIRGO open data. Skilled in Python, MATLAB, curriculum development, and scientific communication, she continues to inspire students and promote science literacy through teaching, writing, and public engagement.

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