A sediment sample is collected from a river flow and the sieve analysis results for the sediment sample is given as below. Flowrate of this channel is $30\frac{m^3}{s},$ and the channel has rectangular cross$-$section with $2m$ width, and $0\mathrm{.}0002$ bottom slope. Answer the following questions. $($s$.$g$.$ of sediments $=2\mathrm{.}65,$ density of water $=1000k\frac{g}{m^3},$ kinematic viscosity of water $($:$={10}^{-6}\frac{m^2}{s}\}$

$($a$)$ Determine the particle Reynolds number $(R{e}_p)$ and calculate fall velocity assuming spherical shape of sediment and uniform flow. $(15$ pt$)$

$($b$)$ Determine whether the bed loads start to transport referring to the Shields diagram $(15pt)$

$($c$)$ Determine the suspended solid concentration at $\frac{z}{h}=0\mathrm{.}25$ using the Rouse model and the following information. $(10pt)$

Suspended solid concentration at $\frac{z}{h}=0\mathrm{.}2$:$1000ppm$

von Karman constant: $0\mathrm{.}41$

Fall velocity: use the answer from Prob. $($a$)$