Q$-4(30$ points$)$

Water on the horizontal apron of the $100-$ft$-$wide spillway shown in Figure $4$ below has a depth of $0\mathrm{.}6ft.$

The slope of the channel is $0\mathrm{.}0123f\frac{t}{f}t$ and $(n=0\mathrm{.}013).$ The spillway causes a hydraulic jump to form in

the channel. $(g=32\mathrm{.}2f\frac{t}{s^2}).$

a$)$ Knowing the uniform depth of $0\mathrm{.}6ft$ at section $1,$ determine the flow rate in the channel? $(5$

points$)$

b$)$ Determine flow classification at depth $(\{$:$y_1)($Quantitatively justify your answer$)(5$ points$)$

c$)$ What will be the depth $(y_2)$ and the velocity downstream of the jump? $(10$ points$)$

d$)$ What amount of energy head is lost in the jump? $(10$ points$)$

Figure $4$The Hydraulic Jump: Applies to questions $10,11,$ and $12.$ b $=$ width $=100$ ft Spillway apron Water on the horizontal apron of the $100-$ft$-$ wide spillway shown has a depth of $0\mathrm{.}60$ ft and a velocity of $18$ ft$/$s$.($g $=32\mathrm{.}2$ ft$/$s$2).$ V $=18$ fts $$; $=0\mathrm{.}60$ ft $10.$ Determine the depth, Y$2,$ after the jump. $(5$ points$)$ Downstream obstacles $3\mathrm{.}19$ ft $2\mathrm{.}27$ ft $1\mathrm{.}90$ ft $5\mathrm{.}32$ ft D Question $115$ pts $11.$ Determine the head loss, h Lacross the jump. $3\mathrm{.}79$ft $2\mathrm{.}27$ ft $1\mathrm{.}90$ ft $3\mathrm{.}19$ ft$12.$ Determine the power dissipated, Pd$,$ within the jump. Express your answer in horsepower. $($recall P$=$yQh$.$y$=62\mathrm{.}4$ lb$/$ft $,550$ ft lb$/$s $-1$ hp$)126$ hp $76$ hp $277$ hp $554$ hp