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# set8-answers - )5 6 5.65 A 3-insd-iameter horizontal jet of...

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Unformatted text preview: )5. 6% 5.65 A 3-insd-iameter horizontal jet of water stokes a flat plate as inclicated in Fig. P165. Determine the jet velocity if a l()--lb 3 in, ' horizontal force is required to (a) hold the plate stationary, ' F _ 10 lb (b) allow the plate to move at a constant speed of 10 ft/s to the A _ rig-ht. (a) (b) FIGURE 95.65 The comlro/ Volume Sham/n Ih f/ze 565ch I}: (Med. 721\$ sfdﬁ'anary p/a/o can i: cam/Hereo/ ﬁfn‘. A/y/z'caﬁ’on of Me hay/yonfa/ (W X« dlfecﬁbn Com/manenf' of ﬁle 0364,, momel/qu/VM egmﬂm/r y/e/dj "uh/our A] z ’51,): 0r é { M, =(/ 51") 3 FAX I” ’4/ r7 7:42 Thus if L [1 :7. M.“ k V z I __...___..__ {.94 {131: 17,8142: / ’5 - {1‘3 6‘(/2 1}). z 5/” ’9‘ a of /0 2 70 "7 j “‘2 V! (4 = o ' , E. 57(dﬁ0nay lo/ach When Me y/az‘e move; 1‘0 Me r/y/n‘ wifh a speed 1 U= /0 151‘ , ' .17 7%e xa direczé'on comanenf of 71/18 0): ear momem‘um 67414291”, y/e/dj —(uI—U),o(u,—U)/ll = ~63 0/” F 1;: IX L ‘uI—U=_L)=_F;LX) A 2 and IF log. 1 ‘ f #70, a =/___¢__'4X2 1» 'U’ _ f- {7‘ __ {2" I vote) - #12? 7L- /0? - 20.23. ’7‘ mall/h; p/m‘c 5.66 A Pelton wheel vane directs a horizontal, circular 45 [an'm‘ 450E con-m: cross—sectional jet of water symmetrically as indicated in Fig. I .. Volume f , P166 and Video V5.4. The jet leaves the nozzle with a veloc~ “ - ity of 100 ft/s. Determine the x direction component of an- choring force required to (a) hold the vane stationary, (1)) con- ﬁne the speed of the vane to a value of 10 ft/s to the right. The fluid speed magnitude remains constant along the vane surface. (a) ' (b) FIGURE P5.66 (4)73 deﬁant/{ye 7%8 X- d/ﬁecﬁbh campaime af maﬁa»? 16;“ Iqu/ka/ 7‘70 ha/d fie Vane 5-722 2%ng we we the 5762510107 gnaw yam/14¢ Shawn new ad 79;: x— d/Pecﬁl’m amp/nan)" of Me /fm?ar mammbm egmﬁ'm (646122). ﬂeas; 2 5 = m/lI/rrgwsyy’jzﬁﬂlv;(grlgw1757=/Z%ﬂ bf/fﬂgwﬁsy I)" F ‘ ﬂ" 1’12)? ﬁwz/W £5" /[ W" .gjr‘MQKvMI‘j / M”) A #3 (WK/z ‘ 2 _- m7}; 4M5! ’5‘— ,C' = /5’/ lé ,9 _ [17) 70 deﬂrm/ée 7545 X- O’IPecﬁ‘bh componenf of ancémmr/ 79x: mid/fed iv wnrg'nc flu; Vane. 7’; a ansfnn/ greed af M ff 7‘» fie r/‘yhf We £156 4/ Cdm‘w/ Volume mow/Ivy 797 ﬁre n'yhf wflh a speed 01‘ Méz‘ and fire x« dzi’eoﬁ'on companml‘ of ﬁe ﬂhar women/um efunﬁ'm 19V 0: ‘fydhf/dﬁhj cmﬁv/ vol/um: {63. 5127]. Ms, - o 7701 r 0 S“M4W,/WI+ Vg6055‘5‘25fz/M/l/M/lfvvbaff‘r) (1 We wk ﬂue/L ff ‘ 76‘ := a _ W = V; m? = M4?!“— 473. ? J. 772w, 53¢ Rad; 7%» . v 1 /é p“ zﬂ-Wﬂuil) 7y (1/4)” (W éﬁj/ﬂ 35+ (243:? Coff‘f (j I”) 4 FW. 9 (/2 13.]; 5—“ :9 p 7. 1% 16 A ~~-l A- 5.69 Five liters/s of water enters the rotor shown in Video V5.5 and Fig. P5.69 along the axis of rotation. The cross- sectional area of each of the three nozzle exits normal to the relative velocity is 18 mmz. How large is the resisting torque required to hold the rotor stationary? How fast will the rotor spin steadily if the resisting torque: is reduced to zero and (a) 9 = 0°, (b) 6 = 30°, (c) 0 = 60°? 7b deferm/hc 7%4: farguc regained 799 Add 591a 7025»? gammy we (455 Me momcnf- of, momenfum ﬁat—gm, qua/1;», (53.51549) 7% 0177‘th film/f 3 ﬂ} 5“;- guf £05, 9 n) We not‘e fhaf‘ ﬂ." = F 6? (2) and 62 ' V = (3) guf- gﬂntyyle 6x17 Coméik/Jy £7}. /, z and 3 we 90‘ 7 r. ,0 6221;” 6’ (w Sheff ‘w‘ 3 Amy/e exit 70 deferrm‘ne 7‘he rvfar angu/ar vc/ooy'fy aged/ﬂed wi/h 3cm 5haf+ fargue we 4341}; use ﬁre Mamehfv of-Momenfum Mae eguaﬁon (6;. 5250) 1‘» obﬁufn 2 *4); {73416 wilfi m/nﬁ'on) Elmff = m cad" (Wad C05 6 ' q‘tf‘ J (5) We Via/‘6’, #1417” quit = C“"’ w (9) and Q W = —— ( 0143‘ 34 7) M331: EXH- (Can ’7‘ ) 5'7! 569 W Kayak/m}? £751 «35/6 “"47 We 35" = a c .. 751,452 x” 5? 5w 05 a 52.; (a) (i) “31/: (xd'f (“)Faw 6': 00 M: use 63.1% 7‘” yd 1 A/ 5/29.) 1e ,yw 1' m a mm a: a!" ﬂﬂdaw/Lﬁry Chm? z -———-—-s——--—-——"“‘2 3L Mm Fm WC 05/1!» 7;? Qﬂﬁ = 0 . 2 w = 62625 6 a (9.1%y/ara’jﬂmo g2" 3’4 r “ - @5914, £23” 0“} 3(Ahmuzjﬁaaa 425:; @153”) .1 _ 5 {HM (9:: 30° we; we 15¢? ﬁﬂd m3 [77732 Fﬁ’g‘le/pg 5036 go I'm” /_./‘_’_ {1:434 : a—M) J "9/ I 020 05") /1.9§;'i) ﬂ ,' z m, K” W 13:?) Kaz/wm 2 Qéff : 200 Mm F/‘M Ef.3 W6 0529103; {k9 = 0 (g- my? (3” , ram 3- w = '1?" 34/ﬂ’M :j = Ma ’3? > .““'__“" ._._._ .9 3//3vm»")(/mw ﬁﬁﬂfm) r = fluff ""3 , 2- (Wd \$17 (’3) [/Ymm") or = " IV. 751ml} //a’ m , —.- 0 571m 67. [Skyjk/jfhln 79/ z w .,. ( HWWJOW :27 = 72.; :41 3 ML 7059a ll’br‘ 4 m;- (JK/M )( [Ea/05'») 5'72. The How 85 01\$! H‘mugh +112 blade ‘hp nuast ‘Iﬂ ’rke (faciwe'se M‘JCni-‘Hl‘ Eli'rptﬁ‘oa (nude: Cx [umkrdodm'sq 7‘0»ng hi ’53 “‘“l‘a‘lf on Me not» feta/4m fa “kilo” I 0‘59” ﬁle blades. 71ne 35” “ma-i. l‘ 39 )E‘dém {ed can-re; ﬂme DGWCL Olgwmm"! while “we drmj qc"! 1U 0L If? A"; !‘ Mg, 'defL/ue “15+ muse; 7% “awequ 'i’he v'vtjlt 4kg Hqu “P nozzle! m radii“) 40,9.“ 3, “imam no nef ﬁrqu do ﬁne 'FIGURE P570 5,43 j V "" 5.93 A watcr siphon havng a constant inside diameter of 3 in. is arranged as shown in Fig. [35.93. If the friction loss betwcan A and B? is (WW/2, where V is the valocity of ﬂow in the siphon, detemzine the ﬂewrate involved. FIGURE P533 70 defer/mks: ﬁve f/owm/c/V 62/ we ase : Av : #01 - ‘ Q ‘ 3;. v (I) 70 abimm l/ we, app/y Hm, enaryy eium'on (Egﬁ-J’Z) éeﬁdcem #0/917‘: 14 and K 0’? ﬂu. Ike/I‘d. 4901/6. 77w“, 0 a a ﬂrlf; / __.. 2 =1: ﬂ 3—1Lye f+72A+a§hqff—- /0\$J I7€f~ ' pr ”’ V2 3. +723 =qu— 0.8 NH? 7/141: ...
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