By the continuity equation vA=const the ratio of the speed of the water jet emerging from the nozzle to the speed of water in the hose is
vnvp=ApAn=rp2rn2 Applying Bernoulli’s equation,
0.5ρ(vn2−vp2)=Pn−Pp−ρgh
Pn−Pp=Ppgauge=217.185 kPa
R=ρ2Ppgauge−2gh
R=10002217185−2(9.8)(13)=179.57s2m2
R=vn2−vp2=vn2−rp4rn4vn2
179.57=vn2−3.6142.534vn2
vn=15.3839sm
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