$[0/1$ Points$]$

SALGTRIG$40\mathrm{.}4\mathrm{.}096.2/100$ Submissions Used

PREVIOUS ANSWERS

ASK YOUR TEACHER

The speed of water flowing in a channel, such as a canal or river bed, is governed by the Manning Equation,

$V=1\mathrm{.}486\frac{A^{\frac{2}{3}}{S}^{\frac{1}{2}}}{p^{\frac{2}{3}}n}$

Here $V$ is the velocity of the flow in $f\frac{t}{s}$;$A$ is the cross$-$sectional area of the channel in square feet; $S$ is the downward slope of the channel; $p$ is the wetted perimeter in feet $($the distance from the top of one bank, down the side of the channel, across the bottom, and up to the top of the other bank$)$; and $n$ is the roughness coefficient $($a measure of the roughness of the channel bottom$).$ This equation is used to predict the capacity of flood channels to handle runoff from heavy rainfalls. For the canal shown in the figure, $A=900f{t}^2,S=0\mathrm{.}050,p=70\mathrm{.}2ft,$ and $n=0\mathrm{.}050.($Let $b_1=60ft,b_2=30ft,h=20ft.)$

$($a$)$ Find the speed at which water flows through the canal. $($Round your answer to three decimal places.$)$

$f\frac{t}{s}$

$($b$)$ How many oubic feet of water can the canal discharge per second? $[$Hint: Multiply $vv$ by $A$ to get the volume of the flow per second.$]($Round your answer to one decimal place.$)f\frac{t^3}{s}$

Need Help? $$

Submi