In 212 B.C., Archimedes discovered the law for buoyant force:
Any object immersed in a fluid experiences an upward force equal to the weight of the fluid displaced by the object.
Although this phenomenon is most apparent in the case of liquids, it holds true for gases as well.
Buoyant force acts on us all the time, since we displace the air around us. Estimate the buoyant force experienced by the average human being standing at sea level, surrounded by air.
Assume that the density of air is .
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Let the volume of the average human be v . This is the volume of air that the human displaces. The mass of air displaced is then ρ v , where ρ is the average density of air. The weight of air displaced is ρ v g , and this is the amount of buoyant force experienced by the human being.
We can assume our body's density to be equal to density of water since our body is mostly made of water. If the mass of the human being is 7 5 kg , then the volume occupied is 7 5 litres, or 7 5 × 1 0 − 3 m 3 . The density of air is about 1 . 2 3 kg/m 3 . Hence the weight of air displaced is 1 . 2 3 × 1 0 0 0 7 5 × 9 . 8 1 = 0 . 9 0 5 N
The average human being experiences a buoyant force of about 0 . 9 0 5 N . This is of the order of magnitude of 1 N .