Physics · Fluid Mechanics
A solid spherical lead bead (density = 11000 kg/m3) of diameter d = 0.1 mm sinks with a constant terminal velocity V in a large stagnant pool of liquid (dynamic viscosity = 1.1 × 10-3 kg·m-1·s-1). The drag coefficient is CD = 24/Re, where Re is the Reynolds number. The drag force is given by D = CD × 0.5 × ρ × V2 × (πd2/4). Neglecting buoyancy and using g = 10 m/s2, what is the velocity V?
- 11/24 m/s
- 21/6 m/s
- 31/18 m/s✓
- 41/12 m/s
Correct answer
1/18 m/s
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