PS1 Solutions

PS1 Solutions - , 105A Introduction to Engineering...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: , 105A Introduction to Engineering Thermodynamics Winter 2008 Problem Set I . Balloons are sometimes filled with helium gas because it has a mass only about one-seventh that of air under identical conditions. The buoyancy force, which may be expressed as F b = pair g Vbanoon, will push the balloon upward. If the balloon has a diameter of 10 m and carries two people having a mass of 70 kg each and the mass of the gondola is 64 kg, determine the acceleration of the balloon when it is first released. Assume that the density of the air is pair = 1.16 kg/m3, and neglect the weight of the ropes and the balloon envelope fabric in your analysis. . ' . Express each of the following temperatures below in 0C, 0F, K, and CR: (a) Boiling temperature of water at sea level, 100°C. (b) Freezing temperature of water at sea level, 32°F (c) A winter temperature in Canada of -40°C. (d) Temperature of the sun, 57 80 K. . Hoover Dam, also known as Boulder Dam, is a concrete dam in the Black Canyon of the Colorado River, on the border between the U.S. states of Arizona and Nevada. The dam, located 30 miles (48 km) southeast of Las Vegas, is named after Herbert Hoover, who played an instrumental role in'its construction, firstas Secretary of Commerce and then later as President of the United States. Seventeen turbine-generators at this powerhouse generate a maximum of 2,080 MW of hydroelectric power of which about 60 percent is allocated for use in Southern California. The dam is 221 m high, 379 m long, and has a thickness of 200 m at its base and 15 m at its crest. Estimate the maximum pressure in kPa that this dam must withstand. [Problem 2.7 in Moran & Shapiro] A 30-seat turboprop airliner whose mass is 14,000 kg I takes off from an airport and eventually achieves its cruising speed of 620 km/h at an altitude of 10,000 m. For g : 9.78 III/32, determine the change in kinetic energy and the change in gravitational potential energy of the airliner, each in 1d. 5. A gas expands from an initial state where p1 : 500 kPa and V1 = 0.1 m3 to a final state where p; : 100 kPa. The relationship between pressure and volume during the process is pV : constant. Sketch the process on a p—V diagram and determine the work, in k]. 6. [Problem 2.31 in Moran & Shapiro] Warm-air is contained in a piston-cylinder assembly oriented horizontally as shown in Fig. P231. The air cools slowly from an initial volume of 0.003 m3 to a final volume of 0.002 n13. During the process, the spring exerts a force that varies linearly from an initial value of 900 N to a final value of zero. The atmospheric pressure is 100 kPa, and the area of the piston is 0.018 mg. Friction between the piston and cylinder can be neglected. For the air, determine the initial and final pressure, in kPa, and the work, in k]. Due Tuesday, January 15, 2008. /. Emu/h: BBHDOH “Ail/«eel wf'fll lie/{cam carries W0 PaoPCQ in a fiando la, Finé'. ficceLQVa‘HDn OIL loaf/Ooh iml'Ha‘J/tgfla, balloon emit lope. Fabric 4" W: 3 4- '5 fl _ 5 Vballwn '1'- = % “(gm-t) _ sZs’Lm 11-834 ’t’lw. 190w}! Mob 43mm} fir flan» % Walloon w 1: LL, fi)(9,80é%)(52.3.gg3)x mg; L = 5752 u —. 3:595; u mg .2 é’njondol'a 4‘ Mywfle) fi— :: Gwafi + 94%)(qeog) '52- : "m N mam. 4mg" "W55 ____.__5_"_*.__.. W¢?= fw-g'vbellom : ii: {fig-£5,283: 350 U W ’5 Sede LEM” +5 #IL SJ-S'k—m {gal/0054:]- fi¢ndolg+ Facial-c.) H—flphfivfng. New/1L3!) g WM... (“707211. He + 3vnd9h+nwtz £93m — 85010—- 199? N) we???“ {mum i” " 1 51.. 61:19.?- :2- ll Calmnwvts: l. Salt-GHQ“ DbbiN—A by, BFPLfiihfir NM'EDH'S Sedan-cl Lawof Mar-Hon. 2" m 40-1-51 masses. 0(— W Sysklm i5 rmme= MH€+ mama“; mpgoPL‘. 3- Emu—AM M We: h.+ at m m we Isa/[o W‘M‘l‘l PQC‘M‘C-i fiactcalarafienfisll'fihi‘lvu a n gnmlol‘”a 2. Ex W55 eaak co? m Rm aTui'rcs below I‘m °C °F Kg"? (m) Emailing fimggra‘kwra 01f- wakr M" 543 level {000C Tgwo‘t‘ K; “C. 1- 233.15 =100+ 2?3./5‘ = 833.15% °R= 1.8K: l.8(3‘-73. ISK) a é?Lé?°/~Z “F: ‘72— +5?.G’-7~=' Mix-can $54.67 = 212°F I T=100°C = 33.15%: é?Lé?‘R=2.t2°¢-=l U») W 7:320? ‘19:: °F+4S?.é?= 32+ +Sfi.é?:—. 4:31.451. °R Kg we (if/6?}: M1. C?—/1,8= 243.;5K °c = K— 2313.!5: 2736452— 2313, 15m 0°C 1"; 320F= 4QL£¥~°£= 2313.;5K: 0°C (C) Wivvter +614» ra'furc. In Canada at —‘l-o"c T: -— 400C K: mg + 243, 15‘: ‘40 +55. I§=233.15'K 0g: K (4/5) r. 233.15'Lu9)= man-w up: °R~ 4519? = 4401.” «457. 4? —-- -40°F IT: — 40°C w 233.15% a «9. (11°22: ~40°Fl LA) °c: K — 2?3.15~= 930.2%.152 5523?- 6c ‘K- K (1.5): Sansone) : 10) 4.00 9R 9F: ne— 4519?: (Moo—4519?: We»? Ts. £80K: 5503”: 2* 1:3 409%:- 99407: 3. Known: Dimensfonz 015 Moat/'61» Dam Find: Maximum prassura m clam-- nwts+ wifks+awi 5’14 H=2umélzaéal Mimwbfi We:th lesumE-Hons 1. RSfiLLmQ. [aha-é: [000 kg/M3 2._ Assam 69.5 ‘i‘. 8’0 rm/sz a, 17-m— mam‘mum {press art will beam; 31" ‘H—fi base. 9+ tie—alarm asst-4min? m 26h:.: {#1le WI.” waw. Ana (#5 {5 final. : Fai'm'i- ‘CD 5: t. maxx'mum Pressure: 3+ '{4‘4 bD‘HDm 119+ Hue. 13/71,) PM“) 1:5 33:43,! +0 m maximum Pressure 8.0an- on m clam) 73,134, 3-]- fkc. base aé m dawn. 015- W +3153! imaged“: Aer/fr»? on 1’41; dam) Roma” aboui ) 4.5 Pemw is M40 E+MJ?MW\‘C Fmsswa mm remain”? (7525 [12er :5 ELM 1’79 m Pr€$Sura msogi4n'lnfi, —{;rom 771.2. height a? m IQEL 3.71% +ov’al wcme Maw-Mg 0h m clam yum/a be r3=£pda 1am wawzcl be [419. Zen-31, 2. 4. Kwawn: pr "furl:on ‘ I“ + W P an" 1mm 0 .... hwwn mass Ini'Hall 3+“ an /’ '"' : iz—lo/ooam airporfi" Mae—W0 we:ch reaches ""h' \),_=— én/h a omisin? a 0+ Lao/AMA, ai-em aHfiuda 0+ (0)000rm. El'nd“. é E {In-221‘; Modal Assam “ha/15'. fins/$000113 2 {M remaing consm ad? Erma / [- ('41-‘000‘4?’ L a.) flaw—mags mcah'on Sink—fl. d_wz,+o Quiz—l Consurnpfish I5 Wad-ed. Hnalfiéa‘st ‘0 . J» I 7" 5K6: KEL" KE‘ = L’m Via-T- H VI a —L aflxlpoamgfiz lid in =1 2. (WWWWM 0 K (km 39005 it? f; WON-rm- 6 = 2. OTMKID LT ‘ AKE: 2.0 %x10 8AJ'I AFE - PEZ.” PEI O =- mg’z-rmé “I My 0 X1 ‘Fsfl L0 900m} . 5 —- Q4196) %— a 5.3 ) AWAKE); [DOOM/Wt 51- : L Befixm° LT IRE: [fimxmékfii Gpmwm’bs: I. Ska-[~65 3“ 17¢, aka/r1? ISO HMS APE. $911» m M fir :LawLZ. m lam-11'; WW) mes, MGM/U“ P0 Wowlcl Chang/‘— $7* 1?}: +55; aim/em [‘5 a 19qu knife»! 49%) Elana, W Kch w 11f 3M“ PiS’bflm Cx/iianclir aSsemlaha (fa/I‘M gas vf’hav‘" .V‘H’? .3 W: /, @6133} figm‘l/f in”; am Ppfld-éfafl :2. (979131 “MM. 1'5” Wwfifi qundaag War-é (MEI/1}) .3fii’ldfl, Caé’J/“J‘Sf'é‘lfl't‘, Wt: Car] Wffsfl a Ziggy; f? V: :zw/isfawi- 791/5: fi‘éz’flvgn i=3) Pfl‘fy—L and M‘sg’nfi We. NJ/aml—{gig— '74)» M814} d£.1f:«zopfl.cli in (2/2333 Wfifmv “"1" [ii-1,45% r: 5% *éimfilg «fiat/1:317“ «75% 1 b; ,- Baa-57L 3mm 7‘? r: “E: Wtfi l7an Q} m m fin g) : ,mawgggx ?'?§)(fi> 7: 80,5" 7&3“ [95’7" 61’: fivar‘g—sas V JPS Shawn «3+ W f‘fcgh'c. Wmfi 0m mgemflagéa [0551”;‘HMJ‘C. fitnoVqufln, 2‘ Sinai; W. Wmvé .913 fwfif'fiffig Waf’é‘ 35‘ AMI”??? dam, 17? 7114’— ISjsfim, [.663 Ma. W2 acme [ficréflfiwfifi during, *fiz Frames}; 5. 77“- WW‘A; W2; (‘3 Pépregflm‘néfic/ 10 y W a’ma finder 'flxe: awrm Fzm awe» gag,ng 3, n-5712mclew assamé/zfi, {‘5 Goa/ed g «Fir-0m a §5‘¢€.i’g fmlfi'af w/wma “It; a éwwn fi'mai flew}? _ a f 1 Vé’lume Whiz-é a Ia'may’ gpwmg: is emr'fin? a £9ch «:3ng 71.4; PJ‘s'fim 'MWHg/wuf- 11.3. Fwwmgfi. Highemwfic £76:?VEQW% 3 v: :z 0,, @133 M") vi}; 5), ow; M2" 3:: mi: «5 mam,“ :4 (frag N :1 gimfiafi F;- m C) 2- 2... Wm A? m 0. 013;??? 5w?” film? En :‘neer‘in Model f. Li‘flfiafi" SPY’:HH?)H.-€.J F1 «#75 2. Qbifiés} agar”? Ariana foresees: 3.; "‘5' [:00 ‘fi‘na‘; 5g; _ Taking. “WW Fffi+vm aw}, a diagram; fiyfitm at: showy}? Sham: Tim. {macaw-s. is 059L551 emti'ZEbrmm W6 have! @Ffi 3:. C3] 4‘ PA“? w Pfi‘hm A? m FSPfiawfl I: '6 wr‘ fividh’lfl P m 4/00!” - 6 E [.9194- SK) $12133 {50 éfa i ffim ifl9’éf9fi.+ #16919”? x “90ch 1 “mm ! Flmlmfiefik 6'23 @525 J 43‘ a.” raw Fm ’ 10M?“ 72:} “fl "ya/2”“ fem % 5mm; F~bWNW \lm‘ie; “mart? w i; 1'41; “FM Prflfisuwc 5’ ma? i " 11w) 4%... - i I»? '" "3"““4” A? "E1" 5" EVWW my, *Kv (Kg if“) ' 1”?" fa+w+ #1": *9 {LP-1m “(meb Pm F'l 1~K®Lm =9st fiflfi‘wm) 7M3) {M fawasgu We: F 3 a Hyman" 1!“ Mafia“ C91; W3ng p m 1%": Siam 2L3. mum aimwh [m claw ‘35 and. ’3‘_ D , m' , _ § Wu. "3*" 51 10‘1"? g h 5:2" ("bx/4.) «@figtgfii (mama §s£301i),4m3 f i .fldi, pm I 1 ‘5 «’— Aw .Camwwm: 3"" 6’. [25 WWW ‘>< fiw EV m “@123” i g l' :9" net W22“ <0 W‘QNI" ’5 dC’M- 53$? “fie, at!!!“ ffi/uséd U v?” . J , r ‘ 2., 1 5517‘ $+amj (a? with: @ng ngg a’swt if”, A? ' wmmm—wmmwmh... 31‘ ~56! [Manl‘i’flI/i at?! .g’aflvé Fpggggcffi f . ‘ t I 1 i5 ‘73 Lia-flat?" Patnmfiwm 59.4: V01m.m¢ H’I M15 fméaizm, ...
View Full Document

This note was uploaded on 04/02/2008 for the course MAE 105a taught by Professor Marner during the Winter '08 term at UCLA.

Page1 / 7

PS1 Solutions - , 105A Introduction to Engineering...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online