laboratorio 2 analisis grafico

7/25/2019 LABORATORIO 2 analisis grafico

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UNIVERSIDAD NACIONAL MAYOR DE

SAN MARCOSFACULTAD DE INGENIERIA GEOLGICA, MINERA, METALURGICA Y

GEOGRFICA

Ingeniera Geogrfca

PRACTICA 2: ANLISIS GRFICOLABORATORIO DE FISICA GENERAL

PROFESOR: AGUIRRE CESPEDES CESAR

GRUPO/HORARIO:VIERNES 10- 12 PM

ALUMNOS:

PANEZ ALDERETE, ANGELICA1!1"01#!$

ROMERO GUTIERREZ, MILLER1!1"01##$

2016


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UNIVERSIDAD NACIONAL MAYOR DE SAN MARCOS (Universidad del Per, DECANA DE AMERICA)

%NDICE

I& INTRODUCCIN 2II& OB'ETIVOS

(III& MATERIALES !IV& MARCO TERICO

)V& PROCEDIMIENTO

10VI& CONCLUSIN

1(VII& EVALUACIN

1*VIII& BIBLIOGRAF%A

1+


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I & INTRODUCCINL F. .345 6. 56375. 575 7885. 34.598.& E.46555.. 56375. 5;5 . 5.4655 6 56@7 575 83. 7885. ;588. 5. 55.576.;5875 =7 >& E7 56 .3 856 5.=83 856 ;39;573 85 63. 3453.,9;3. . 5.577 6 56@7 575 63. 83. 85 6 3.@7,956388 565@7 856 3453&


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I I & OB'ETIVOS

A$ OB'ETIVOS GENERALEST4 37 83. 55;5765. 3783. 57 46.&G 34575 5=375. 85 83. 55;5765.T575;3. 3 7688 5.=8 56 5;653 85 6. .

34575 85 6. 56375. ?=73765. 575 83. ;7=85. ?..&T575 373;573. 593. 85 3;3 =. 6. . 6

363@7 85 =73.&B$ OB'ETIVOS ESPECIFICOS D545 =..5 56 55 85 6 4.. 6 9465 785578575


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I I I & MATERIALES

Pape !ii!e"ra#o

Pape $e!i%ogar"!ico

Pape ogar"!ico

Cac&a#ora


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IV& MARCO TERICO'(SCRIPCION '( LOS INSTR)*(NTOS

PAP(L *ILI*(TRA'O

E. 56 ;5.3 37 7. 675. 575=8., .58. .57 =78.7 855;78, 73;6;575 1 ;; 57 6 5.6 5=6& E6 56;6;583 .5 =. 6. 9465.

ANLISIS GRFICOL3. 83. 345783. 57 =7 35.3 85 ;58@7 .5 377 57 46.&L. 46. 85 9635. . 37?5378. 73. 7?3;7 5 8556375. 5.575. 575 =7 ;7=8 3& U7 6579 5.4655 8. 56375., 5. 5 55.57375. >. 57 =7..5; 85 55. 3385783. 37 89.375. ;6;58., 63;. 3.5;-63;. .57 .5 56 .3& D5 5.. .5 4=.7 >.67565. 5.$, ?6 6 37.=@7 85 6. ?@;=6.55;5765.


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.5 =585 =3; ;5875 3;. 85 @;=3 =7 675 5&

P 6. 56375. 85 6 ?3; y = k x n, 7 8?5575 1, .=. >3. 5756 56 63;3 .37 5. 37 578575 ; K 7 .383 =7 357 85 4.5 10& E6 357 85=7 55 3385783 63;3 =585 5;5 37 10-1, 100, 101, 102,

10(, 5& P 56375. 5375765. .5 53;578 =6 56 56.5;63;3&

y = k x n

E7 56 ;6;583 ;4J7 .5 =5857 37.= >3. 67565. 5=375. 85 =9.& E.3 855785> 85 63. 9635. .783. 63.55. 3385783.& P 5.3 5. 755.3 63. 83.&

MTODO DE MNIMOS CUADRADOS

D5 6 8.4=@7 6756 85 =73. 34578 57 56 56 ;6;583,63;3 3 .5;63;3 .5 6=67 6 578575 ; 6 385784& E6 ;J383 85 =.5 ;>. 85=83 =7 8.4=@7 6756 5. 6J7 85 ;7;3. =883.&

P 6 5. J7 ;53 .5 37.=5 =7 46 85 6 ?3; :

xi yi xiyi xi2

x1 y1 x1y1 x12

x2 y2 x2y2 x22

xp yp xpyp xp2

+i ,i +i,i +i2


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S5 6=67 6 578575 6 38578 57 56 357 :

83785p 5. 56 7;53 85 ;58375.&

L=53 6 ?@;=6 55;576 5. 6 5=@7 85 6 5 : K ; 4

U7 95 =.8 6 8.4=@7 6756, .5 3585 563. >6=63. 7 85 5737 6 ?@;=6 55;576 4=.8&

E7 63. .3. 85 6. 8.4=375. 67565. 57 565.63;3 .5;63;3 6. ?@;=6. 55;5765. .37 :

y = b xm&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&S5 5756 63;3

y = b 10mx, y = be2,303mx&&&&&&&&&&&&S5 57 56.5;63;3

D3785 .5 37.85


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L 38578 57 56 357 4 34578 3 6 ?@;=6 .5> 4,


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$ S5 855;7 56 963 ;583 85 56 963 ;583 85 &

$ C3;3 6 ;53 5 =.8 8545 . 3 56 =73 ,$ 37=7 578575 =6

;, 57375. 6 5=@7 85 6 5 .5> :

y = mx + ( y - mx )

V& PROCEDIMIENTO

1$ E7 6 46 1, .5 5757 6. ;588. 856 75;573 855;5= T 8?557 85 5;5= 37 6. 5;5=.765.$ 83. 936;575. 85 = 56 5;3 85657;573& H =7 > 85 T 95.=. & I7J55&

V=;6$ 100 1!0

T;7$ TC$ TC$0 0 01 "&! *&!2 1(&0 #&0( 1#&! 1*&0* 2+&0 1)&0

2$ L 46 ;=5. 83. 85 ;588. 856 5;3 85 59=@7 85= 85 =7 [email protected] 9J. 85 =7 6695 85 53 8>;53 D 85.68, 3;8. =3 6695. 85 8?5575. 8>;53. 38.

;588. =6 6= 85 = 856 ;.;3 [email protected]&

;$ (0 10 * 1D

;$T5;3 85 983 .$

1&! +(&0 *(&0 2"&+ 1(&!2&0 *1&2 2(&+ 1!&0 +&2


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(&0 1)&* 10&! "&) (&+

!&0 "&) ( 2&2 1&!

H =7 > 85 95.=. D 95.=. & U.5 56 ;6;583&I7555&

TA&'A( )t* e!$%$* D*

($ L 46 (, ;=5. 63. 3575. 85 6. ;588. 85 6 98889 856 8@7& E6 8 53 .5 855@ =7 85.75@7 85*&( 101)7653.&

T8.$

0 1 2 ( * ! " + ) # 10

AQ$ 100 )* +0 !# *# *1 (* 2+ 2* 20 1+

H =7 > 85 A 95.=. & U.5 56 ;6;583& I7555&

TA&'A( )A* e!$%$* t*

VI& CONCLUSIN

L=53 85 45 5683 8.73. 3. 85 ;588., 7=5.3 =3

L653 6. .=575. 376=.375.:

A75. 85 56 =6


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E. 85 96 ;37 56 575 57 =57 63. ;>575. 85 53 6=63.3;83. 37 56 7 85 8.;7= 63. 535.&

N7=7 ;588 37368 3 =7 5.37 5. 5?5;575 5,.73 ;>. 457 3;8&

L. ;588. ;47 ;588 856 ;43 85 3.=&


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VI I& EVALUACIN

1- A#.&n"ar a grfca #e a "a/a 1 aar a ec&acine3peri!en"a por e !4"o#o #e !ni!o$ c&a#ra#o$-

5aan#o a ec&acin e3peri!en"a por !ni!o$ c&a#ra#o$:

Y=mx+b


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Apican#o a$ r!&a$:Xi

i

n

ni

n

Xi2

m=

ni=1

n

Xi Yii=1

n

Xii=1

n

Yi

Xi

i

n

ni

n

Xi2

b=

i=1

n

Xi2

i

n

Yii=1

n

Xii=1

n

Xi Yi

Para e 7o&!en #e 100 !-

5aan#o a pen#ien"e: 5aan#o /:

"8!in9+i

T 8C9 ,i +i,i +i2

1 "&! "&! 12 1( 2" *; 1#&! !)&! #< 2+ 10) 1"10 66 1== ;0


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5.!)"(#

)!$$(!)%%("&

=

=b '.%

!)"(#

)%%(!)!$$(#& =

=m

P3 63 73 6 ?@;=6 5756 5.: T=6,8 t 0.5

Para e 7o&!en #e 1>0 !-

5aan#o a pen#ien"e: 5aan#o /:

!)"(#

)5.!"%(!)5.#5("&

=

=b 55.#

!)"(#

)5.#5(!)5.!"%(#&

=

=m

P3 63 73 6 ?@;=6 5756 5.: T=4.55 t

2- Si a &en"e #e caor e$ con$"an"e a "e!pera"&ra inicia #eag&a &e #e 20oC-

?C& e$ e "ie!po @&e "ran$c&rrir para @&e e o&!en #e ag&a#e 100 ! acance a "e!pera"&ra #e e/&icinB

"8!in9+i

T 8C9 ,i +i,i +i2

1 *&! *&! 1

2 # 1) *; 1* *2 #< 1) +2 1"10 -> 1;6-> ;0


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D56 3465; 753 6 578575 =7 936=;57 85 100 ;6& E.:

'.%=m

P53 3 6 5;5= 76 5. 85 2033 63 37.=575, 575;3.=7 85.6;573 57 6 > 3 5785 =7 7=59 ?@;=6&

L =6 5.:

&'.% += Xy

N3. 857 66 56 5;3 85 54=66@7& E.3


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'.%

'=X

E7375. 575;3. 6 54=66@7

85.=J. 85 11&+" ;7=3.&

;- Anaice #i$c&"a a grfca o/"eni#a #e a "a/a 1- ?C& e$ e$ignifca#o $ico #e a pen#ien"e e in"ercep"oB

L > 73. ;=5.


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4$ AKA $ 57 56 .5;63;3


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$ K D$ 56 63;3


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8$ P;53 6=65 56 K1

d2 6=53


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,( -a..e e. tiemo en /%e .o$ n0".eo$ de !ad#n $%1!en %nade$inte!a"i#n de. ,345

Ejemplo:S 3;;3. =7 ;3 85 8@7, 85.=J. 85 (&) 8. .@63 .5578>7 0&! ;3., =5. 6 3 ;8 .5 7.?3;@ 57 33 7653 .5 85


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&&! =T

e )&()( &! LneLn

T=

L 98 ;58 855785 .363 85 3 63


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E7 1$

K; 4

1K 1&1( 2K 1&102 (K 1&0(* *K0) !K 1&0*2 "K 0) +K

0&++ )K 0&*!*

#K 0 10K 0&!# 11K 0&2*2 12K-0&*!)1(K0&"! 1*K 0&122 1!K-0&!( 1"K -1&+(

E- ae o$ "ie!po$ #e acia#o #e ag&a $i:

- Cac&e w=h

d2 para a$ a"&ra$ #i!e"ro$

corre$pon#ien"e$ a:


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12&


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Apro3i!a#a!en"e e aor #e Pen e$e p&n"o e$ ; La ec&acin @&e reaciona e$ +D 1 J og8n9H- nD o @&e $e

@&iere cac&ar LogD!og3J og/ ogD!3Jog/ o

VII I & BIBLIOGRAF%A

M7=6 85 64333 85 ?. 1;5 5557$

SERAY, +; 58@7 =63 I

laboratorio 2 analisis grafico

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