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Archimedes principle states that the buoyant force on a submerged body equals the weight of the fluid displaced
Archimedes principle states that the buoyant force on a submerged body equals the weight of the fluid displaced. This fact can be combined with measured weights of the object in air and in water to determine the object's density rho_3. The resulting equation is: rho = rho_w/1 - (W_w/W_a) (1) where: rho_w = density of water = 1.00 g/cm^3 W_a = weight of object in air W_w = weight of object in water Provide an explanation of the origin of the above relationship. Recall that W_a = M_g = rho Vg. A free-body diagram suggests that its weight in water is diminished by an amount equal to the buoyant force.
Expert Solution
let the mass of body = m, volume = v, density =
weight of the body in air = .....equation-1
according to archimedes principle buoyant force is given by
= weight of same volume water = v =
from the diagram weight in water is given by
=> .....equation-2
from equatons 1 & 2
=
=>
=>
=>
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