$1)$ Consider a shore intake structure located along a riverbank. There are two rectangular openings in the

intake structure. Each opening is $5$ feet wide and $10$ feet deep. Each opening is protected with a coarse bar

screen constructed of $\frac{1}{2}-$inch thick steel bars oriented vertically with a $2-$inch open space between each

bar. There are $25$ bars and $24$ openings in each coarse bar screen.

a$)$ When the water depth at the entrance to the coarse screens is $8$ feet, the total flow entering the

intake structure through the two openings is $72$ million gallons per day $($mgd$).$ Determine the velocity

through the open space between bars of the coarse bar screens in feet per second $($fps$).$

b$)$ Using the maximum recommended velocity between bars of $2$ fps $,$ determine the total allowable flow

in cubic feet per second $($cfs$)$ through the two openings in the intake structure if the depth of water at

the entrance to the coarse screens is $9$ feet.

$2)$ Consider a grit tank that is $L=125$ feet long and $W=25$ feet wide. The water depth $D$ is $13$ feet and the

depth of freeboard is $3$ feet. The flow $Q$ passing through the tank is $45$ million gallons per day $($mgd$).$

a$)$ Determine the flow $Q$ in gallons per minute $($gpm$).$

b$)$ Determine the surface overflow rate SOR in gallons per minute per square foot $(gp\frac{m}{f}{t}^2).$

c$)$ Determine the detention time $t_d$ in minutes.

d$)$ Determine the horizontal flow velocity $v_{\text{h}\text{o}\text{r}\text{i}\text{z}}$ in feet per minute $($fpm$).$

Solve Question $1$ and Question $2$