A liquid with density $2,600kg{m}^{-3}$ and viscosity $0\mathrm{.}002$Pas flows through a

smooth pipe of unknown diameter, resulting in a pressure drop of $1262Pa$ for

$2\mathrm{.}784km.$ Calculate the pipe diameter if the mass flowrate is $3,175kg$ per hour.

Figure $2\mathrm{.}1$ will be useful in answering this question.

Figure $2\mathrm{.}1.$ Moody diagram. Draw a sketch showing how you used this plot.