A typical river borne slit particle has a radius of 20 mm and a density of 2 × 103 kg/m3. The viscosity of water is approximated by 1.0 m Pa-sec. Find the terminal speed with which such a particle will settle to the bottom of a motionless volume of water.

Engineering

Physics

Viscosity

Question

A typical river borne slit particle has a radius of 20 mm and a density of 2 × 10³ kg/m³. The viscosity of water is approximated by 1.0 m Pa-sec. Find the terminal speed with which such a particle will settle to the bottom of a motionless volume of water.

3.8 mm/sec

2.7 mm/sec

0.89 mm/sec

1.88 mm/sec

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$v = \frac{2 r^{2} (ρ_{0} - ρ_{ℓ}) g}{9 η}$

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