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Displacement (fluid)
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==Applications of displacement== This method can be used to [[measurement|measure]] the volume of a solid object, even if its form is not regular. Several methods of such measuring exist. In one case the increase of liquid level is registered as the object is immersed in the liquid (usually water). In the second case, the object is immersed into a vessel full of liquid (called an [[overflow can]]), causing it to overflow. Then the spilled liquid is collected and its volume measured. In the third case, the object is suspended under the surface of the liquid and the increase of weight of the vessel is measured. 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.<ref name="StephenWHughes2005">{{cite journal|last1=Hughes |first1=Stephen W. |year=2005 |title=Archimedes revisited: a faster, better, cheaper method of accurately measuring the volume of small objects |journal=[[Physics Education]] |volume=40 |issue=5 |pages=468β474 |doi=10.1088/0031-9120/40/5/008 |bibcode = 2005PhyEd..40..468H |citeseerx=10.1.1.426.6138 |s2cid=250816225 }}</ref> 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.<ref>{{Cite web | url=https://www.khanacademy.org/science/physics/fluids/buoyant-force-and-archimedes-principle/a/buoyant-force-and-archimedes-principle-article | title=What is buoyant force?}}</ref> The weight of the displaced fluid can be found mathematically. The mass of the displaced fluid can be expressed in terms of the density and its volume, {{math|''m'' {{=}} ''ΟV''}}. The fluid displaced has a weight {{math|''W'' {{=}} ''mg''}}, where {{math|''g''}} is [[Gravity of Earth|acceleration due to gravity]]. Therefore, the weight of the displaced fluid can be expressed as {{math|''W'' {{=}} ''ΟVg''}}. The weight of an object or substance can be measured by floating a sufficiently buoyant receptacle in the cylinder and noting the water level. After placing the object or substance in the receptacle, the difference in weight of the water level volumes will equal the weight of the object.
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