(a) A dust particle with a diameter of 0.0015 in and a specific gravity of 4.3 falls in the air (standard atmosphere at sea level, ρ = 0.0023768 slugs/ft3 , μ = 0.37372 × 10−6 lb-sec/ ft2 , γ =...

(a) A dust particle with a diameter of 0.0015 in and a specific gravity of 4.3 falls in the air (standard atmosphere at sea level, ρ = 0.0023768 slugs/ft3 , μ = 0.37372 × 10−6 lb-sec/ ft2 , γ = 0.076472 lb/ft3 ), as illustrated in Figure EP 10.8a, and settles to the ground after a windstorm. (a) Determine the terminal (free-fall) velocity for the dust particle as it falls to the ground. (b) Mathematically illustrate how Stokes law is applied in the use of a falling sphere viscometer to determine the viscosity of a fluid. Then, mathematically illustrate how Stokes law is applied to derive the expression for terminal (free-fall) velocity for the dust particle as it falls to the ground. (c) Compare your answers for parts (a) and (b).