This problem considers a closed, rectangular conduit in which air flows at a velocity of $15\frac{m}{s}.$ The conduit has a height $"$h$"$ and width $"$w$."$ Consider the density of air to be $1\mathrm{.}2k\frac{g}{m^{{?}^{{?}^{?}}}}3,$ viscosity to be $1\mathrm{.}8{10}^{{?}^{{?}^{?}}}-5P{a}^{**}s,$ roughness of the conduit surface to be epsilon $=2{10}^{{?}^{{?}^{?}}}-6m,$ and the acceleration of gravity to be $9\mathrm{.}81\frac{m}{s^{{?}^{{?}^{?}}}}2.$

Given the dimensions of the conduit $(hw),$ what is the required pressure drop to achieve this flow velocity? Give the answer in $P\frac{a}{m},$ but do not enter the units in the answer box. $($answer with a positive quantity$).$

$h=0\mathrm{.}15m$

$w=0\mathrm{.}29m$

$h$

W