Question $6$: Frictional pressure drop in a pipe $($different regime$)$

A $30-$m length of smooth pipe with inner diameter $0\mathrm{.}01$ m has water flowing through it$.$ The water's temperature is $100$ degrees C and its average velocity in the pipe is $\backslash (0\mathrm{.}51\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ Calculate the pressure lost to friction along this length of pipe. Use the Moody chart or a formula for $\backslash ($ f $\backslash ),$ rather than the quick approximation $\backslash ($ f $\backslash$approx $0\mathrm{.}02\backslash ).$ If using the Moody chart, you will read your answer from a scale with logarithmic spacing. There is some extra tolerance in this question to account for the difficulty of that interpolation.

$\backslash (\backslash$Delta P$=\backslash )5$ points available for this attempt $($following attempts are worth: $\backslash (4,4,4,3,2,1,0\backslash ))$