PROBLEM $2\mathrm{.}7$

When air at $300K$ is flowing through a horizontal tube of inner diameter $1cm,$ the local flow velocity measured at a radius of $3mm$ for the centerline of the tube is found to be $1\frac{m}{s}.$ Calculate:

$($a$)$ The rate of pressure drop in the flowing air

$($b$)$ The average linear velocity of the flow

$($c$)$ The Reynolds number

$($d$)$ The shear stress exerted on the tube by the air

At $300K$ the density and viscosity of air are, respectively, $1\mathrm{.}177k\frac{g}{m^3}$ and $1\mathrm{.}85{10}^{-5}Pa.$s$.$