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ME111HW Sol_Ch2

# ME111HW Sol_Ch2 - ME 111(01 Fluid Mechanics Spring 2008 HW...

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Unformatted text preview: ME 111 (01): Fluid Mechanics Spring 2008 HW Solution — Chapter 2 .25 2.5 Bourden gages (see Video V2.2 and Fig. 2.13] are cnmmonly used to measure pressure. When such a gage is attached to the closed water tank of’Fig. P15 the gage reads 5 psi. What is the absolute air pressure in the tank? Assume standard atmospheric pressure of 14.? psi. 16 Bathyscaphes are capable of submerging to great depths in the mean. What is the pressure at a depth of 5 km, assum— ingthat seawater has a constant speciﬁc weight of 10.1 kN/m“? Express your answer in pascals and psi. 7523'45 +43 ’41."- 7772 jurércg f3 :49 59 7%1’ f: 6’ﬂ/1magﬁjfﬁ‘xm3m) =50.5‘ xméﬁ 14113:), t __ {a ¢’= (50-5 “06% )ﬂ‘z‘So We yjl) K m MAE“; Bourdon gage 12in. x FIGURE P2.S = 50.5% Ma, 7:320 L. 1?.)2 H if The basic elements ofa hydraulic press are shown in Fig. P112. The plunger has an area of 1 in}, and a force. F.. can he applied to the plunger through a lever mechanism having a mechanical advantage of 8 to 1. If the large piston has an area of I50 in.2, what load. F1, can be raised by a force of 30 lb applied to the lever? Neglect the hydrostatic pressure variation. 3:3 ’2 a fi- aﬁowe 0% 3.0 lb afP).'¢cl ii: CL p/cmgfr [cw-(e) F 07“ F7: (8)349) : 2%9/1, . ’2 S/nce 5:?4" 4,44 FL: PA”; where P 15 The. Pressure and? ,4, any 191 are 7716 4}”645 '97C 771e, Plan?” mid Pisa‘pn/ respeciiuelg, .5!an 72 as wnslmé ﬂrpugbouf 7716 C/Mmbng EL :- F1 A: e. 50 ﬁlm/é A. I 2' _ 2. __ £529 4’ . { F;__EF;_./ .f)zqolg)=3goool.é / I». —--—~—-—— 313 2.13 A 0.3wm-diameter pi ' . ' pe 15 connected to a 0.02- - diaineter pipe and_ both are rigidly held in place. Both pipes any; honzonlfal with p1_stons at each end. If the space between the pistons 15 ﬁllecl with water. what force will have to be applied to the larger piston to balance a force of 80 N applied to the smaller piston? Neglect friction. 5=¢a Fa. = P ’41 lbas, F: _ F: f}; #42. 6 V A; (a, 3/»; J 1 5:: —-£ F2 5..“ m): 2 AZaoa/l/ 2.20 Pikes Peak near Denver, Colorado has an elevation of 14,110 ft. {3} Determine the pres- sure at this elevation, based on Eq. 2.12. (b) If the air is assumed to have a constant speciﬁc weight of 0.07647 lbffti‘, what would the pressure he at this altitude? (c) Ringgit is assumed to have a constant temperature of 59 °F what would the pressure he at this elevation? For all three cases assume standard atmospheric conditions at sea level (see Table 2.1). I “[{32J'ﬂf -:—~g:)(ﬂﬂ;foff) Y : {7’6 {Eli ){5735570/‘347 Slug-ﬂ? = {270 ii? [495) ____7C£T__s_ 2.]{0 The differential mercury manometer of Fig. PZHQ is connected to pipe A containing gas~ olinc (56 = 0.65). and to pipe 8 containing water. Determine the differential reading. in cor- responding to a pressure in A of 20 kPa and a vacuum of 150 mm Hg in B. manna 1124+; *8; f“ 6;“ (0.540» M) - Eng-K {- 3}“ {9.31391 MB =33 7375/5 ) la = pl? "’83 3" 3.95 (49.34“) + 5*? (9.34») 314-01 - 3,545 ‘—' 3.929 ﬁbers. #5 -‘- -d;§ {4/50m)/ :60 771:2!“ 49L : .20 A}; — [His-3 if)“. wag] + (0. mm 21;?) (0.3m) + (9. 90,157,353”) f3! _ :6” AM Ma Ma @.65)(’£¢?};—3 ) — €130 _. A713 = 0.399 47': . .. A homogeneous, 4-l'1-wide, 8-ft—iong rectangular gate ' weighing 800 1b is held in piace by a horizontal ﬂexible cable as shown in Fig. 132.52. Water acts against the gate which is hinged at point A. Friction in the hinge is negligible. Determine the tension in the cable. Jo ﬂﬁi‘ 7-; = + 3,525 -" 6.45 A: ’8 (345:)(41‘Ex4‘ﬂ) Hr egaih'éﬁaml ZMH '10 ﬁnd T {5/206/9 éda = “ﬂu [4H)(L’oséa‘) + FR [24!) T_ 6W " (5 £4 ) (5/), 1:0") 1:. 1135.0 2.5? [If- An open rectangular tank 1 m wide and I 2 m long contains gasoline to a depth of 1 m. If _ the height of the tank sides is 1.5 111, what is the i maximum horizontal acceleration (along the long axis of the tank) that can develop before the gas l oline would begin to spill? * 7; Preuénf 5,33”!ij d; _. Ismael“ 3‘; < — —-——-—- =~o50 (See ﬁgural SINCE) (xi/07:63 ’4uejemh“! Could be el'l'hrr 4-0 111? 5:7“. or ‘Hie lat-Ft.) ...
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• Spring '08
• USaxena
• standard atmospheric pressure, Hydrostatic pressure variation, absolute air pressure, water tank of’Fig, constant speciﬁc

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