$14\mathrm{.}8$ Rough turbulent flow occurs in a pipe $0\mathrm{.}2$ m

diameter conveying water. If at $y=20mm,v.$

$=2\mathrm{.}0\frac{m}{s}$ and $(del\frac{v}{d}$ely$)=10\mathrm{.}5s^{-1},$ determine

$k_{0^{\text{'}},},t_0,f$ and $V.$ Assume $$ for water as $1000kg/$

$m^3(102ms\frac{l}{m^3}).$

$[$Ans$.0\mathrm{.}12mm$;$8\mathrm{.}82\frac{N}{m^2}\{0\mathrm{.}90(kg)\frac{f}{m^2}\}$;

$0\mathrm{.}017$;$2\mathrm{.}025\frac{m}{s}]$