Given the following two reservoir system:

HWK$-2$ Two Reservoir System

Reference point

System Data:

Overflow elevation at Point $1$:$4000$ feet

Overflow elevation at Point $3$: $3990$ feet

Pipeline $1$: $L1=2500ft,D1=10-$inches

Pipeline $2$: $L2=3500ft,D2=12-$inches

Elevation of Point $2$: $3800$ feet

Pressure at Point $2$: $80$ psi

Use Swamee and Jain equation to calculate friction factor $\text{'}$ f $\text{'}$

Use kinematic viscosity for $60-$degree F water

Pipeline material is PVC

Find:

System demand in gallons per minute $($gpm$)$

Velocity in pipeline $1$ in $f\frac{t}{s}$

Velocity in pipeline $2$ in $f\frac{t}{s}$

Elevation of hydraulic grade line at Point $2$ in feet

Note: Show all your calculations.