Convert the particle diameter to meters and calculate the particle density.

Here are the solutions to your questions.

1. Terminal Settling Velocity

Step 1: Convert the particle diameter to meters and calculate the particle density.
The particle diameter $d = 0.5 \, \text{mm} = 0.5 \times 10^{-3} \, \text{m}$.
The density of water $\rho_w = 1000 \, \text{Kg/m}^3$.
The specific gravity $SG = 2.65$.
The density of the particle $\rho_p = SG \times \rho_w$.

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