$(20$ points $$ Particle Settling$)$ For a particle with a diameter of $18\backslash$mu m and a density of $1,600$ kg$/$m$3,$

a$.$ Find the settling velocity. Assume the density of air is negligible and that the viscosity is

$0\mathrm{.}0172$ g$/($m$*$s$).$

b$.$ If this particle had been hurled to a height of $8,000$ m during a volcanic eruption, estimate

the time required $($in days$)$ to reach the ground.

c$.$ If winds average $10$ m$/$s and are perfectly horizontal, how far away would the particle land

$($in km$)?(20$ points $-$ Particle Settling$)$ For a particle with a diameter of $18m$ and a density of $1,600k\frac{g}{m^3},$

a$.$ Find the settling velocity. Assume the density of air is negligible and that the viscosity is

$0\mathrm{.}0172\frac{g}{m**s}.$

b$.$ If this particle had been hurled to a height of $8,000m$ during a volcanic eruption, estimate

the time required $($in days$)$ to reach the ground.

c$.$ If winds average $10\frac{m}{s}$ and are perfectly horizontal, how far away would the particle land

$($in km$)?$