A $120$ft spillway is studied using a model that is

$10$ft $.$ The discharge in the model is $0\mathrm{.}3($m$^(3))/($s$).$

Use these equations:

Lr$=($Lm$/$Lp$)=(1/12)$

Froude Number: Frm$=$Frp $>($v$/$sqrt$($g$*$L$))$m$=($v$/$sqrt$($g$*$L$))$p $>$ Vr $=$ sqrt$($Lr$)$

Qm$/$Qp$=$ Lr$^2($Vr$)$

Force Ratio $>$ Fm$/$Fp $=$ Vr$^2($Lr$^2)$

$($a$)$ To what prototype discharge does this correspond? Find Qp

$($b$)$ The force in certain part of the model is found to be $30$N $,$ what is corresponding force in the prototype? Water is used in both model and prototype. Find Fp