Problem #$2$ Normal Depth $-$ Rectangular Channel

This problem will require the use of Excel, MATLAB, or other software. You must attach your spreadsheets and$/$or codes for me to review.

For a rectangular channel, Slope $=0\mathrm{.}0001,15ft$ bottom width:

a refer to Table $5\mathrm{.}1\mathrm{.}1$ in Chapter $5$ of Mays and determine the normal depth for a discharge of $100$ cfs using Manning's roughness coefficients for Concrete $(5\mathrm{.}1\mathrm{.}1,$ B$-2$c $-$ pick $1),$ Channels not maintained with dense weeds $($Ce$1),$ Flood plains $($D$-2-$ pick $1),$ and Major streams $($D$-3-$ pick $1)$make sure you do not repeat roughness values.

b Plot normal depth $($y$-$axis$)$ vs Manning's roughness $($x$-$axis$)-$ label your x and y $-$axis

c In a few sentences, explain what happens to normal depth as we change our Manning's roughness.

Hint: All normal depths range from $2$ ft to $12$ ft