Brayan Aguilar-16180198-1
March 24, 2023 | Author: Anonymous | Category: N/A
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ULIQEP[IHNH NUXGLGMN HE KGNFUICN ANKUCXNH HE KIELKIN[ ^UÍMIKN[
@rnynl Aerlnlhg Nouicnr Mehrnlg >1>62>96
Xrnlsaerelkin Xrnlsaerelk in he kncgr Ederkikigs he ilterknm`inhgres he kncgr >.>.- Rn Rnrn rn ela lari rinr nr nke keit ite e se he hese sen n uci ucizn zn ul il ilte terk rknm nm`i `inh nhgr gr he hg`c hg`ce e tu`g tu`g n kgltrnkgrrielte. Ec tu`g ilterigr he kg`re ele ul hiîmetrg ilterigr he 05mm y ul espesgr he >mm. Ec hiîmetrg ilterigr hec tu`g exterigr es he 85mm. Ec nkeite uye pgr ec exterigr kgl ul knuhnc he 2.> jo/s y ec noun pgr ec ilterigr n rnzûl he 2.0 jo/s. [i cn tempernturn tempe rnturn he eltrnhn hec noun es ;2´K y cn hec nkeite >22´K. Knckucnr Knckucnr cn cgloituh cgloituh hec ilterknm`inh ilterk nm`inhgr gr pnrn elarinr ec noun fnstn uln tempernturn tempernturn he 12´K. Lgtn4 Kgekielte Kgekielte ocg`nc he trnlsaerelkin reaerihg nc îren exterigr Ue=80_/(m°J). Rrgpiehnhe Rr gpiehnhess H>=05mm=2.205m 0.>;> jD H0=0?mm=2.20?m Nkeite n 62 ²KKp = joJ H;=85mm=2.285m 8.>6; jD Nounn X nm`ielteKp nm`ielte Kp = joJ Acudg mnsikg noun=2.0jo/s Acudg mnsikg nkeite=2.>jo/s XAE=;2²K XKE=>22²K XK[=12²K
( )(
^= mKp∁X =
Nkeite=
[nknlhg cn XA[ Noun=
X = ∁ cm
∁ X E ∐∁ X [ cl
( ) ∁ X E ∁ X [
)
2.> jo 0.>;> jD ( >22∐ 12 )=6.508 j_ joJ s 6.508 j_ ^ ^ = mKp∁X =X A[= + X AE =( mKp 2.0 jo 8.>6; jD s joJ
( )(
=8;.0288 ²
)+ ;2;.>5 J
)
^=UeNe∁X cm C=
^ = Ueς H0 ∁ X cm
6508 _
( 80
_ 0
)( ς )( 2.20? m)( 8;.0 J )
m J
=55.;
ULIQEP[IHNH NUXGLGMN HE KGNFUICN ANKUCXNH HE KIELKIN[ ^UÍMIKN[
@rnynl Aerlnlhg Nouicnr Mehrnlg >1>62>96
0.- Ul kglhelsnhgr gpern kgl vnpgr kglhelsnlte el ec cnhg he cn kgrnzn n 0?²K. Ec noun he elarinmieltg eltrn n 5²K y snce n >2²K. [i ec kgekielte tgtnc he trnlsaerelkin he kncgr es he 5222 5222 _/m0 _/m0 -²K -²K kg kgl l `n `nse se el cn super superki kie e he hecc tu`g tu`g ex exte teri rigr. gr. Heter Hetermi mile le cn trnlsaerelkin he kncgr pgr metrg kunhrnhg he superkie su perkie he tu`g exterigr.
q q =U N ∁ X N =U ∁ X c ∁ X E ∐∁ X ∁ X cm= ∁ X E cl ∁ X [ ∁ X E =( 0? ² K ∐ 5 ² K )=00 ² K cm
( )
∁ X [ =( 0? ² K ∐>2 ² K )= >? ² K ∁ X cm= q
00∐>?
( )
00 cl >?
=>
=( 522 _
N ;.- El ul ilterknm`inhgr tu`ucnr he kncgr pg vnpgr-noun ec vnpgr he noun sekg y snturnhg kuyn presiûl es ;.5 x >25 Rn, se kglhelsnl el cn superkie exterigr he cgs tu`gs. Ec noun, que kirkucn pgr cgs tu`gs se kncieltn heshe 02²K fnstn 92²K. Hetermilnr4 n) Cn tempernturn mehin cgonrítmikn el este ilterknm`inhgr he kncgr. `) Ec onstg he vnpgr el ec ilterknm`inhgr vnpgr-noun si ec onstg hec noun es 6 t/f. [upgler que lg existe su`elarinmieltg hec kglhelsnhg.
R=;.5x>25Rn N estn presiûl presiûl telemgs telemgs uln tempernturn tempernturn he X=>;6.61²K X=>;6.61²K hec Keloec Keloec 1eh.
∁ X cm=
∁ X E ∐∁ X cl
( ) ∁ X E ∁ X [
∁ X E =( >;6.61 ² K ∐02 ² K ) =>>6.61 ² K ∁ X [ =( >;6.61 ² K ∐92 ² K ) =86.61 ² K
n)
∁ X cm=
>>6.61∐8
`)
(
>>6.6 86.6 Noun Noun ciquih ciquihn n n 55² Kp=8.>6 Kp=8.>6jD/jo jD/joJ J cl
mc Kp ( Xs∐Xe ) =m v f ao m c Kp ( Xs∐Xe ) ( 62 = mv = fao
ULIQEP[IHNH NUXGLGMN HE KGNFUICN ANKUCXNH HE KIELKIN[ ^UÍMIKN[
@rnynl Aerlnlhg Nouicnr Mehrnlg >1>62>96 m v =>269.9> jo / f
8.- Ul ilterknm`i ilterknm`inhgr nhgr he knrknsn knrknsn y tu`gs se kncieltnl kncieltnl ;.?6; jo/s he noun, heshe ;?,?6 –K fnstn 58.88²K. [e ucizn noun kgmg uihg kncielte, kgl ul udg mîsikg he >.690 jo/s, kgl ul pnsg el cn pnrte he cn knrknsn y eltrn nc knm`inhgr n 9;.;; ²K. Ec kgekielte ocg`nc he trnlsaerelkin he kncgr es he >8>9 _/m0-²K, y cn vecgkihnh mehin hec noun el cgs tu`gs he >.925 km he hiîmetrg es he 2.;11 m/s. He`ihg n cimitnkigles he espnkig, cn cgloituh hec tu`g lg he`e supernr cgs 0.8;6 m. Knckôcese ec lômerg he pnsgs he tu`g, ec lômerg he tu`gs pgr pnsg, y cn cgloituh he cgs tu`gs kgmpn`ce kgl estn restrikkiûl. [upglielhg uln tu`erín he ul pnsg Cn tempernturn he sncihn hec noun kncielte4
q =m a Kpa ∁ X a =mk Kpk ∁ X k X f .s = ∁ X cm=
(9;.;; ∐5 cl
(
01;1;0.15 _ q + X f . e =9;.;;∐ =12.2> ² K m k Kp k >.690 jo 8>6; d joJ s
(
(9( q =U N ∁ X cm= N =
)( )
01;1;0.15 _ q =1.0; m0 = >8>9 _ U ∁X ∁ X cm )( 09.?6 ² K ) ( 0 m ² K
Cn helsihnh hec noun kncielte n 81.29²K 4
ώ =
992.66 jo
m
;
Eltglkes ec îren he acudg éstn hnhn pgr4 ;.?6; jo
a = N
mk
=
( ώ)( v ) (
s = 2.2>28 m; 992.66 jo 2.;11 m
)(
)
Estn îren es ec prghuktg hec lômerg he tu`gs y ec îren he acudg pgr cgs tu`gs4 m s ;
0
ςh N a =l X =lX =;1.86 8 Rnrn elkgltrnr cn cgloituh hec tu`g usnmgs ec îren he superaikie tgtnc4
1.0; m
0
=lX ςhC= C =0.65; m
Estn cgloituh es mnygr que 0.8;6m permitihgs eltglkes lekesitnmgs mîs he > pnsg, snknmgs ul vncgr he kgrrekkiûl kgl P=.0 y R.; el tu`erín he ul pnsg A=2.66 nprgximnhnmelte y numeltnmgs ul pnsg el cn aûrmucn4
q =UNA∁X = N = cm
?.269 m
0
q U ∁ AX ccmm
=
01;1;0.15 _
_ )( .66 )( 09.?6 ² K ) ( >8>9 0 m ² K
=0 lX ςhC= C=>.10; m
=?.269 m0
ULIQEP[IHNH NUXGLGMN HE KGNFUICN ANKUCXNH HE KIELKIN[ ^UÍMIKN[
@rnynl Aerlnlhg Nouicnr Mehrnlg >1>62>96
Estn cgloituh kumpce kgl ec cimite permitihg eltglkes lt=;1.89 lômerg he pnsgs=0 cgloituh=>.10;m
5.- Ul ilterknm`inhgr he kncgr se empcen pnrn knceltnr noun, seoôl se heskri`e el ec edempcg. Uciznlhg cns mismns tempernturns he eltrnhn he cgs uihgs que ec ederkikig 8, knckôcese cn tempernturn he sncihn hec noun kunlhg sûcg se kncieltnl 82 jo/mil he noun, perg se empcen cn mismn knlhnh he nkeite. Knckôcese tnm`iél cn trnlsaerelkin he kncgr tgtnc kgl estns luevns kglhikigles. Knckucnlhg ec Kmil tgmnlhg cgs hntgs hec ederkikig 8 telemgs4 Kp pnrn ec nkeite=>.9jD/jo²K
mk K k =( >.690 ) ( 8>6; )=?9>8.08 _ 82 12 >922 >0111.1 _ =( kncielte / ) ( es ec )=mílimg pgrque cn hiaerelkin he kncgr mîximn que reki`irî, ec acuihg Ec acuihg arig tnm`iél es knpnz he reki`ircn.
m K a
K mil
a
?9>8.0 2.1086 K mnx >0111.1 UN ( >8>9 ) ( 1.0; ) LXU mnx= =>.>0 = ?9>8.0 K mil
=
Hglhe ec îren y ec kgeaikielte ocg`nc se tgmnrgl hec ederkikig 8. Hglhe cn eaiknkin es4
L = LXU mnx =>.>0 K mil mil =.10 K = K mnx ∁ X noun ∁ X noun
=
∆
=
∁ X mnx 9;.;;∐ 12 ∁ X noun =>9.;;
ϵ=
>∐ exp (∐ L (( >∐ K ) ) >∐K exp (∐ L (( >∐K ) )
=
> ∐exp (∐ (∐ >.>0 ( >∐ .10 )) >∐.10exp (∐>.>0 ( >∐.10 ) )
=2.56
X noun. snci sncihn hn =;?.?6 ² K + >9.;; ² K =5?.>> ² He mghg que cn trnlsaerelkin he kncgr `ndg cns luevns kglhikigles serî4
q =m k K k ∁ X k = (>.690 ) ( 8>6; ) ( >9.;; )=>50960.>6 _ =>50.96 j_
=.56
ULIQEP[IHNH NUXGLGMN HE KGNFUICN ANKUCXNH HE KIELKIN[ ^UÍMIKN[
@rnynl Aerlnlhg Nouicnr Mehrnlg >1>62>96
1.- Rnrn knceltnr 0.;1 m;/s he nire n > ntm heshe >5.5 ²K, fnstn 09.88²K, se empcen ul knm`inhgr he kncgr he tu`gs kgl ncetns kgmg ec que se muestrn el cn Aiourn >2.5. Ec noun kncielte eltrn el cgs tu`gs n 60.00 ²K, y ec nire kirkucn trnlsversncmelte n cgs tu`gs, kgl ul kgekielte ocg`nc mehig he trnlsaerelkin he kncgr he 00? _/m0-²K. Ec îren tgtnc he cn superkie hec knm`inhgr es 9.09 m0. Knckôcese cn tempernturn hec noun n cn sncihn y ec udg he kncgr. Cn helsihnh hec nire que eltrn es4 5
>.00; jo R >.2>;0 x >2 = ώ = = ; PX ( 06? )( 066.? ) m Ec acudg hec nire estn hnhg pgr4
ma =( 0.;1 ) ( >.00; )=
0.66? jo s
q =m a Kpa ∁ X a =( 0.66? ) ( >221 ) ( 09.88 ∐>5.55 )= 82;8>.2; _ =82.;8 j_ [upglielhg que ec nire es ec acuihg mílimg
ma Kp=( 0.66? ) ( >221 )=
0928.;0 _ ² K
LXU mnx= UN = ( 00? ) ( 9.09 ) =.?01 0928.;0 K mil
)
(
∆
∁ X nire
=
∁ X mnx
=
09.88 ∐>5.55 =2.026 60.00∐>5.55
El tn`cns estgs vncgres lg kglkuerhnl nsí que ec acuihg kncielte es ec mílimg
K mnx= ma K a = ∁ X f=
0928.;0 _ ² K
LXU mnx=
UN K mil
ϵ=
∁ X f ∁ X mnx
=
∁ X f 60.00∐>5.55
82;82 _ K mil
Iternlhg el cn tn`cn he eaiknkin el acudg trnlsversnc n pnrtir he .5 elkgltrnmgs uln eaiknkin he .000 cg que lgs hn ul Kmil=185_/²K Ilterpgcnlhg ec Kp hec noun kncielte n 60.00²K hec npélhike 0.>> Kp=8.0>0jD/joJ
mk K k =
185 _ 185 2.>5; jo =m k = = ² K 80>0 s
Cn tempernturn he sncihn hec noun es he4
82;82 =>9.1? ² K 185 Ec acudg he kncgr es he4
X f .s =60.00∐ q=82;82_
ULIQEP[IHNH NUXGLGMN HE KGNFUICN ANKUCXNH HE KIELKIN[ ^UÍMIKN[
@rnynl Aerlnlhg Nouicnr Mehrnlg >1>62>96
?.- Ul ilterknm`inhgr he knrknsn y tu`gs se ucizn kgmg kglhelsnhgr he nmglínkg. Ec vnpgr he nmgl nmglín ínkg kg eltr eltrn n el cn knrk knrkns nsn n kgmg kgmg vn vnpg pgrr sn sntu turn rnhg hg n 52 52²K ²K.. Ec no noun un el eltr trn n el ul hispgsivg he ul ôlikg pnsg he tu`g n 02²K y cn trnlsaerelkin tgtnc he kncgr lekesnrin es he 022 j_. [e esmn esmn ec kgek kgekiel ielte te ocg ocg`nc `nc he trnlsa trnlsaere erelk lkin in he kncgr kncgr el >.222 >.222 _/m0-² _/m0-²K. K. Hetermílese ec îren que se lekesitn pnrn kglseouir ul relhimieltg hec knm`inhgr he kncgr hec 12 pgr >22, kgl uln tempernturn he sncihn hec noun he 82²K. ·^ué pgrkeltnde he rehukkiûl he trnlsaerelkin he kncgr se g`telhrín si ec udg mîsikg he noun se rehudese n cn mitnh, mnltelielhg iounces ec îren hec knm`inhgr he kncgr y ec vncgr he U7 q 0.;9> jo 022 q =m a Kpa ∁ X a =m a = = = Kp a ∁ X a ( 8.>60 ) ( 82 ∐02 ) s K mil=ma Kpa = ( 0.;9> ) ( 8.>60 ) =>2 j_ LXU
ϵ =>∐ e LXU
e
= > ∐ϵ
LXU =∐c l ( >∐ϵ )=∐cl ( >∐.1 )=.9>10 N =
K mil LXU U
=
( >2 ) ( .9>10 ) =9.>10 m0 >
[i ec acudg he noun se rehudese n cn mitn ma =(0.;9>jo/s)/0=>.>955jo/s =(0.;9>jo/s)/0=>.>955jo/s
LXU =
( >.222 ) ( 9.>10 ) >6;0.5 = =>.6;0 ( >.>955 ) ( 8.>60 ) >222 ∐>.6;0
ϵ =>∐ e
= 2.6;9
∁ X = ϵ ∁ X mnx =( 2.6;9 ) ( 52∐ 02 )=05.>? ² K q =K mil ∁ X noun =( 5 ) ( 05.>? )=>05.65 j_
6.- Uln cnron tu`erín he nkerg he 5 km he hiîmetrg ilterigr (HI) y ;.0 mm he espesgr he pnreh ntrnviesn uln fn`itnkiûl ornlhe que se mnlele n ;2 ²K y presiûl ntmgsaérikn: pgr ul extremg he cn tu`erín eltrnl 2.1 jo/s he noun kncielte n 60²K. [i cn tu`erín ele >5 m he cgloituh, cgloi tuh, knckôcese knckôcese cn tempe tempernturn rnturn he sncihn sncihn hec noun, kglsihern kglsihernlhg lhg pérhihns heshe ec exterigr he cn tu`erín, tnltg pgr kglvekkiûl lnturnc kgmg pgr rnhinkiûl. > 60∐;2 8 ?.0? _ f =( >.;0 ) ( ) = 0 2.2518 m ² K q kglv =( ?.0? ) ς ( 2.2518 ) ( >5 ) ( 60∐;2 )=>225 _
ϵ ≆ 2.6 ∐6 8 8 q rnh=( 5.119 x >2 ) ς ( 2.2518 )( >5)( 2.6 )( ;55 ∐ ;2; )=696 _ q tgtnc=>225 _ + 696 _ =(2.1 )( 8>6? ) ∁ X noun ∁ X noun =2.?1 ² K X noun. snci sncihn hn =60 ² K ∐2.?1 ² K = 6>.08 ² K
ULIQEP[IHNH NUXGLGMN HE KGNFUICN ANKUCXNH HE KIELKIN[ ^UÍMIKN[
@rnynl Aerlnlhg Nouicnr Mehrnlg >1>62>96
9.- El ul tu`g he 0,5 km he hiîmetrg ilterigr (HI), eltrn nire n 02? jRn, 022 –K y 1 m/s. Ec tu`g es he kg`re y ele ul espesgr he 2,6 mm y uln cgloituh he ; m. El hirekkiûl lgrmnc nc exterigr hec tu`g, kirkucn nire nm`ielte n > ntm y 0G”K, kgl uln vecgkihnh he kgrrielte ci`re he >0 m/s. Knckôcese cn tempernturn hec nire n cn sncihn hec tu`g. ·Kuîc serín ec eaektg he rehukir cn kgrrielte he nire kncielte n cn mitnh7 Heltrg hec tu`g. X=8?;J h=2.205m v=1m/s viskgsihnh=0.56x>2-5
R 0 ώ = = PX ( 06 J=2.2;65 Kp=>2;2 Rr=2.16> ∐;
0
m=( >.505 ) ς ( 2.2>05 ) ( 1 )=8.89> x >2 jo / P =
(>.505)( 1)( 2.205) ∐5 = 6611 0.56 x >2
(
)
2.2;65 2.205
fi =
( 6611 )2.6 ( 2.16>)2.; =
85.8 _
m0 ² K
cn resistelkin pgr kglhukkiûl es hesprekin`ce Auern hec tu`g Xa =022+02/0=>22²K=;?;J =022+02/0=>22²K=;?;J va =05.>5x>2 =05.>5x>2-1 ja =2.2;08 =2.2;08 Rr aa =2.19 = hg=2.205+2.22>1=2.2011m 2.19
P =
(>0)( 2.2011 ) ∐1 = >019> 05.>5 x >2
Rgr cg tnltg K=2.>9; l=2.1>6 >
2.2;08 2.>9;
(
f g= (
_ 0 ) ( >0,19> )2.1>6( 2.19) ; = ?>.;1 m ² K
)
)( 2.2011
[nknlhg U `nsnhg el Ni
U i=
( )+( ( > 85.8
>
2.205
2.2011 ) ( ?>.;1 )
=
06.8> _
)
0
m ² K
8.101 _ ∐; K mil =( 8.89> x >2 ) ( >2;2 ) = ² K
Kmil =2 Kmnx LXU =
ϵ =2. ? ∁ X i=( 2.?6 ) ( 022 ∐02 )=>82.8 ² K
( 06.8> ) ( 2.0;1 ) =>. 80 8.101
ULIQEP[IHNH NUXGLGMN HE KGNFUICN ANKUCXNH HE KIELKIN[ ^UÍMIKN[
@rnynl Aerlnlhg Nouicnr Mehrnlg >1>62>96
X sncihn =022∐>82.8 =59.1 ² K [i rehukimgs ec acudg ec acudg n cn mitnh
LXU =( 0)( >.85 )=0.9 ϵ =2.95 ∁ X i=( 2.95 )( 022∐02 )=>?> ² K X sncihn =(022 ∐>?> )=09 ² K
>2.- El ul knm`inhgr he tu`g kgl ncetns he udg kruznhg, se empcenl onses kncieltes he esknpe pnrn knceltnr 0.5 jo/s he noun heshe ;5 ²K fnstn 65 ²K. Cgs onses Zk, = >.29 jD/jo-²K] eltrnl n 022 ²K y sncel n 9; ²K. Ec kgekielte ocg`nc he trnlsaerelkin he kncgr es >62 _/m0²K. Knckôcese ec îren hec knm`inhgr he kncgr uciznlhg ec métghg hec LXU.
q =m o Kpo ∁ X o =m no Kpno ∁ X no mo Kpo ( 022 ∐9; )= (0.5 ) ( 8>?9 ) ( 65 ∐;5 ) K mil=mo Kpo= 8660 K = m Kp =( 0.5 ) ( 8>?9 )=>288?.5 mnx
no
no
Rnrn ec relhimieltg
ϵ=
∁ X ∁ X mnx
ϵ=
(022 ∐9; ) =2.15 (022 ∐;5 )
Kmil 8660 =2.81? = Kmnx >288?.5 U`iknlhg ec vncgr he LXU n ul
Kmil =2.81? y ϵ =·2.15 Kmnx
LXU=>.8
N =
K mil LXU U
=
( 8660 ) ( >.8 ) =;?.9? m0 >62
>>.- [e hispgle he ul udg mîsikg he noun he 0;2 jo/f n ;5 ²K, pnrn su usg kgmg rearioernlte el ul knm`inhgr he kncgr kgl ul îren superkinc tgtnc es >,8 m0. [e vn n empcenr ec noun pnrn elarinr nkeite Zk, = 0.c jD/jo-²K] heshe uln tempernturn ilikinc he >02²K. He`ihg n gtrns kirkulstnlkins, lg se puehe teler uln tempernturn he sncihn hec noun mnygr he 99 ²K. Cn tempernturn he sncihn hec nkeite lg he`e ser ilaerigr n 12 –K. Ec kgekielte ocg`nc he trnlsaerelkin he kncgr es 062 _/m0-²K. Esmese ec udg mîsikg he nkeite mîximg que puehe elarinrse, supglielhg que ec udg mîsikg he noun se fn dnhg el 0;2 jo/f.
ULIQEP[IHNH NUXGLGMN HE KGNFUICN ANKUCXNH HE KIELKIN[ ^UÍMIKN[
( )
@rnynl Aerlnlhg Nouicnr Mehrnlg >1>62>96
01? _ 0;9 ( 8>62 ) = 0;2 K mil = q mnx =m;122 ² K ( 8>62 ) ( 99 ∐;5 )=>?292 _ no Kp no ∁ X no= ;122 hiaerelkins mîximn he tempernturn
( )
∁ X nkeite =( >02∐12 ) =12 ² K ∁ X noun =( 99∐ ;5 )=18 ² K
( 062 ) ( >.8 ) LXU = 01? =>.8? 18 ϵ= =2.?5; >02∐;5 Rnrn kgltrn kgrrielte y tu`g hg`ce estg puehe se kumpcihg kgl
K nkeite =
( )
mnkeite =
01? 2.0
=>;;5 =mnkeite Kpnkeite = mnkeite (
2.1;1 jo s
0>22 D ) jo ² K
( )=
>?292 >;;5 Cg kunc es mns he cgs 12 ornhgs permitihgs
X nkeite. nkeite. snci sncihn hn=>02 ∐
q=
Kmil ≆ 2.0 Kmnx
>2?.0 ² K
( 0522 ) ( 0020 ) ( >222 ) =>.5; M_
;122 92 ∐62 =68.9 ² K ∁ t cm= 92 cl ( ) 62
N =
>5;2222
(68.9 )( 8? )
=;6; m0
>0.- Ul knm`inhgr pequeþg he knrknsn y tu`gs kgl ul pnsg he tu`g ZN = 8,18 m0 y Q = 062 _/m0-²K], se vn n uciznr pnrn knceltnr noun n nctn presiûl, ilikincmelte n 02²K, kgl nire kncielte ilikincmelte n 012 ²K. [i cn tempernturn he sncihn hec noun lg vn n supernr cgs 9; ²K y ec udg mîsikg he nire es 2,85 jo/s, knckôcese ec udg mîsikg he noun. =( 2.85 )( >229)( 012 ∐ Xsncihn ) q
=^>
=( 062)( 8.18 ) · q
Xemp K
^> 52 12 82
^0 95;52.5 >2;1?5.69> 926>2 >>5855.22> 9969> 69992.2;91
85
9?102.?5 9?>8;.0226
=^0
ULIQEP[IHNH NUXGLGMN HE KGNFUICN ANKUCXNH HE KIELKIN[ ^UÍMIKN[ 85.5 9?;9;.?05 85.1 9?;86.;0 85.8 9?8;9.>; 85.; 9?868.5;5 85.0 9?509.98 85.0 85.05 5 9?52 9?52?. ?.0; 0;?5 ?5 85.01 85.0 85.0? ? 85.0 85.015 15 85.011 85.018 85.0 85.01; 1; 85.0 85.01; 1;5 5
9?520 20..19? 9?89 9?896. 6.>5 >515 15 9?52 9?522. 2.80 8016 16 9?899.9?0 ?0? ? 9?522.662 626 6 9?52 9?52>. >.;; ;;89 89 9?52 9?52>. >.>2 >2?6 ?6
@rnynl Aerlnlhg Nouicnr Mehrnlg >1>62>96
9?60>.>555 9?951.209> 9?161.288? 9?552.1958 9?8>5.>21 9?86 9?860. 0.9; 9;26 26 9?891.86 866 61 9?5> 9?5>2. 2.28 28;9 ;9 9?52 9?52;. ;.01 0115 15 9?528.100 9?52>.9>> 9?52 9?522. 2.55 5558 58 9?52 9?52>. >.0; 0;;0 ;0
Iternlhg lgs hn uln tempernturn he sncihn he=85.01;52K
mnoun=
( 2.85 ) ( >229 ) ( 012∐ 85.01;5 ) 2.;0 jo = s ( 8>?5 )( 9;∐ 02)
>;.- Ul knm`inhgr, he kncgr he knrknsn y tu`gs aulkigln kgl hgs pnsgs he knrknsn y kuntrg pnsgs he tu`g, Ec uihg he cn knrknsn es ecelocikgc, que eltrn n >82²K y snce n 62 ²K, kgl ul udg mîsikg he 8522 jo/f. Rgr cgs tu`gs kirkucn noun, que eltrn n ;5 ²K y snce n 65 ²K. Ec kgekielte ocg`nc he trnlsaerelkin he kncgr pnrn este hispgsivg es 652 _/m0-²K. Knckôcese ec udg mîsikg he noun lekesnrig y ec îren hec knm`inhgr he kncgr. eticelocikgcKp=0?80D/joJ
q =(
8522 )( 0?80 )( >82∐62 )= 025152 _ ;122
q =m noun ( 8>?5 ) ( 65 ∐;5 ) mnoun=
2.965 jo s
K mnx= mnounKp = (2.965)(8>?5)=8>>0.8 K mil=
( 8522 ) ( 0?80 ) =;806 ;122
Kmil = 2.61;8 Kmnx ϵ=
>82 ∐62 =2.5?> > 8 2∐ ;5
LXU=>.;
N =
(;806 )( >.;) =5.08 m0 6 52
ULIQEP[IHNH NUXGLGMN HE KGNFUICN ANKUCXNH HE KIELKIN[ ^UÍMIKN[
@rnynl Aerlnlhg Nouicnr Mehrnlg >1>62>96
>8.- Ul knceltnhgr he noun he ncimeltnkiûl ucizn ul knm`inhgr he knrknsn y tu`gs kgl vnpgr he noun que kglhelsn n >02 –K el ul pnsg he knrknsn. Ec noun eltrn el cgs tu`gs n ;2 –K y rekgrre kuntrg pnsgs, he mghg que ec vncgr he U ocg`nc es 0.222 _/m-²K. Knckôcese ec îren hec knm`inhgr pnrn ul udg mîsikg he noun he 0,5 jo/s, kgl uln tempernturn he sncihn hec noun he >22 ²K.
∁ t cm=
92 ∐0 2 = 8 1 . 58 ² K 92 cl ( ) 02
q =m noun Kp ∁X noun=( 0.5 ) ( 8>62 ) ( >22 ∐;2 )=?.;>5 x >2 _ 5
5
q ?.;>5 x >2 N = = =?.61 m0 U ∁ t ccmm ( 0222 )( 81.85 )
>5.- El uln ilstncnkiûl ornlhe he nkglhikiglnmieltg he nire, fny que knceltnr >522 m;/mil he nire n > ntm y >2²K el ul knm`inhgr he kncgr he tu`g kgl ncetns, pgr mehig he noun kncielte que eltrn nc knm`inhgr n 62 ²K. Ec kgekielte ocg`nc he trnlsaerelkin he kncgr es 52 _/m0-²K. Knckôcese ec îren hec knm`inhgr he kncgr lekesnrin pnrn uln tempernturn he sncihn hec nire he ;5 ²K y uln tempernturn he sncihn hec noun he 52²K. 5
R >.2>;0 x >2 >.081? j ώ = = = ; PX ( 06? )( 06;.>5) m Rnrn ec acudg hec acuihg arig4
ma =( >522 / 12 ) ( >.081? )=
;>.>1 s
q =m a Kpa ∁ X a =( ;>.>1?5 ) ( >221 ) ( ;5∐>2 ) =?6;610.10 _ =?6;.610 j_ ∁ X = cm
(62 ∐;5 )∐
(
cl 62 52
P =
Xf >∐Xf 0 62 ∐52 = =>.0 Xk 0∐Xk > ;5 ∐>2
X Xkk 0∐Xk > ;5 ∐>2 R= = =2.;5 Xf >∐Xk > 62 ∐>2
He tn`cns g`telemgs que ec anktgr he kgrrekkiûl el nprgximnhg A=2.9>
∁ X cm=( 80.85 ² K ))(( 2.9>)= ;6.1095 ² K He cn ekunkiûl4 q=UN∁ X cm hespednlhg pnrn N
N =
q ?6;.61 =825.6;89 m0 = U ∁ X cm ( .25 ) ( ;6.1095 )
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