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# Koofer - University of f'lorida Department o f Civil:JIId...

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/ University of f·'lorida Department o f Civil ': JIId Coaatal Engineering S pring Scmc o tcr 2 011 EXAM " 2: C'WR )201 H~CII lnatnactorl Dr. a. J. cl )sed book, closed ::oo;:es, or.e 8.S" x 11 " s he et ot information peraitted. Sho· ... all .... ork on the 'e pages. Printed Name; "On thil PICKLES Brilln C,.". ==

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1. (25 total points) You are designing a new -running fOWlt.t.n- theme park. A curved blade is propelled at a speed of 45 ttl_ alGIIIII surface of a channel flow which flows in the other directioa at tS ~ t hus deflecting the top layer (4 in) of the channel flow t~ aa ~ of 60 0 and into the air as shown; (ttOT T'I s ...... ) 4" The blade is 5 ft wide (into the paper). Assume that shear .tr,. ... ADd elevation changes are negligible, and also neglect the eff-=. At. \$. ~ ~e~ ig~h~t ~o~ f~t~h~e~wa~t~e~r and hydrostatic force a on the blade at ani(;K M:i. a) (10 points) Calculate the horizontal force acting on the blade due Y to the mov~ng water. L~~ A:~: ~JeGV)ov!-;. Zre QV1 ,,,,; ~ 1="0101/.11 d v~ '/.! t::;,fitM 11 ~"Xp.()m) II,<~ ,." CO - (IN){Ocg13) ".~ -:r 1='14 ,,,, ';" 'AV~4.J.;t; Q ' 0051 "3 V"i Q V •• I ,,, . 0 0·H'IV .. ~""'. (1. ~'X 0.061»\ ~O)' '" I (0 - (\ '"l( 0 O~)( '0)1 -r", ~ - (,'55.(.5 11 .. , 1:- ... G'&(. ,~ IX b) (5 points) Find t.he poytr required to against the force ot t.he water.
1. (contiIHlcd) \ :. V_ .. ~ s\;,~,tt~~:...+_.#"- c) d) (5 points) "'ind t he m ag nitude and direction of the abeolute wloclty vector (i. e. as see n by a fixed observer) at tip (exit) of tbt blade. ~"/I ... ..- "MI" ,~:I ~ ,. VI~l."A. "'V.w" ... "III1Jt If · / )2. qO V. .. ._ Jl ~ vu.J. = n Col W - 04~ ~ ...... .. 7 ~ 0 V,..< .. "0 v ..... . V~... = "'"" .. qo~. W :1/, .... "-.'11~fc (5 points) The diagram below shows the position ot the blade ~ through space at three successive time intervals. Note that thi. 1. a ~ationary reference frame as seen by a fixed obaerver. On the diagram below, ske tch (at time t 0 . 3 8) the path 11n •• of particles leaving the tip of the blade at time t 0, t 0.1 aDd t 0.2 s, and also sketch the streakline for all particl •• wbicb left the tip of the blade between t _ 0 and t 0.3 .0 v 7'Hlh i

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Koofer - University of f'lorida Department o f Civil:JIId...

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