Florida Atlantic University_PHY 2048_Lab Report 9-REVIEWED AND EDITED BY EXPERTS 2021

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Purpose: The purpose of this lab experiment was to understand the density of an object using the Archimedes’ principle. Archimedes’ principle stats that any object/body that is completely or par... tially submerged in water (or gas) at rest will be acted upon by an upward force that's magnitude is equal to the weight of the fluid that was displaced by the object. In other words, when an object is placed in water, for example, the weight of it will displace the water (make it rise) until the buoyant force acting upon it is equal to the weight of an object. The simplest, real life, example of this would be a ship that has been launched. At first, the ship will sink into the ocean until the weight of the water that it has displaced becomes equal to the weight of the ship, causing it to float. If you were to load the ship with people, it would sink even more with the added weight until the displaced force becomes equal again. Theory underlying the experiment: In mathematical terms, Archimedes’ principle states, the buoyant force Fb on an object submerged in a fluid is equal to the weight of the fluid displaced by the object: Fb=ρf Vg , where ρf is the density of the fluid, V is the volume of the object that is submerged, and g is the acceleration due to gravity. With that being said, the volume is determined by: V= F b g ρf . The buoyant force can be found by measuring the difference of the weight of the object in the air (Wa) and in the fluid (Wf): F b=Wa−Wf∧V= W a−Wf g ρf = m a−mf ρf Where ma and mf are the masses of the object measured in the air and in the fluid respectively [Show More]

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