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When an object is immersed in a liquid, the liquid exerts an upward force, which is known as the buoyant force, that is proportional to the weight of the displaced liquid. The sum force acting on the object, then, is equal to the difference between the weight of the object ('down' force) and the weight of displaced liquid ('up' force).
The increase in weight is equal to the amount of liquid displaced by the object, which is the same as the volume of the suspended object times the density of the liquid. [ 1 ] The concept of Archimedes' principle is that an object immersed in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the object. [ 2 ]
[2] Where different fluids are layered on top of one another, the total pressure difference would be obtained by adding the two pressure differences; the first being from point 1 to the boundary, the second being from the boundary to point 2; which would just involve substituting the ρ and Δh values for each fluid and taking the sum of the ...
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The block would still weigh 3 kilograms on dry land (ignoring the weight of air in the cavity) but it would now displace 2 liters of water so its immersed weight would be only 1 kilogram (at 4 °C). In either of the examples above, the correct density can be calculated by the following equation: [ 2 ]
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is the density of the fluid (i.e. mass per unit volume, typically expressed in kg/m 3) g {\displaystyle g} is acceleration due to gravity (i.e. rate of change of velocity, expressed in m/s 2 ). Note that in this equation, the pressure term may be gauge pressure or absolute pressure , depending on the design of the container and whether it is ...