Water, $=998k\frac{g}{m^3},=0\mathrm{.}001Pa*s,$ flows through a rough pipe of diameter $3cm$

at $30\frac{m^3}{h}.$ If the surface roughness is $0\mathrm{.}1mm,$ compute:

a$)$ The Darcy's friction factor $$ and the skin friction coefficient $C_f.$ Verify with

Moody's chart. Hint: You may use Haaland's formula for $$ first and then use

Colebrook's formula for one iteration correction.

b$)$ The wall shear stress ${}_w.$

c$)$ The pressure drop per meter.

Please solve each question. Please show all intermadiate steps. Please solving on paper with explanation.