ARCHIMEDES' PRINCIPLE B = Vdispl × Pliq × g
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Archimedes' principle states that the buoyant force (B) acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. Show more…
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Archimedes' principle can be used to determine the specific gravity of a solid using a known liquid (Example 10$-$8). The reverse can be done as well. ($a$) As an example, a 3.80-kg aluminum ball has an apparent mass of 2.10 kg when submerged in a particular liquid: calculate the density of the liquid. ($b$) Determine a formula for finding the density of a liquid using this procedure.
FLUIDS
Buoyancy and Archimedes' Principle
In Archimedes’ principle experiment, the weight of the object was measured in air and recorded (1.010 N). The object was placed in water, and the apparent weight of the object was measured to be 0.852 N. Determine the mass of the object (in kg). (density of water is 1.00 x 10^3 kg/m3 and g = 9.80 m/s2)
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(II) Archimedes' principle can be used not only to determine the specific gravity of a solid using a known liquid (Example 10 of "Fluids"); the reverse can be done as well. (a) As an example, a $3.80-$ kg aluminum ball has an apparent mass of 2.10 $\mathrm{kg}$ when submerged in a particular liquid: calculate the density of the liquid. (b) Derive a formula for determining the density of a liquid using this procedure.
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