A typical riverborne silt particle has a...

A typical riverborne silt particle has a radius of `20(mu)m` and a density of `2xx10^(3) kg//m^(3)`. The viscosity of water is `1.0 mPI`. Find the terminal speed with which such a particle will settle to the bottom of a motionless volume of water.

Text Solution

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The correct Answer is:

Using `V=(2)/(9) (r^(2)(rho-sigma)g)/(eta)`
`eta =1.0xx mPi = 1.0 xx 10^(-3) Pi`
`=(2)/(9) ((20xx10^(-6))^(2)xx(2xx10^(3))xx9.8)/(1.0xx10^(-3))`
`=0.871mm//s`.

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