Question: A sphere of density ρ s and diameter D is dropped from rest in a fluid of density ρ and viscosity μ. Assuming a constant

A sphere of density ρ s and diameter D is dropped from rest in a fluid of density ρ and viscosity μ. Assuming a constant drag coefficient o Cd, derive a differential equation for the fall velocity V(t) and show that the solution is Where S = ρ s /ρ is the specific gravity of the sphere material.

A sphere of density ρ s and diameter D

1/2 do 3gCd, (S-D 4S2D Drag, Buoyancy sWeight p,H V(t)

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