informe 5 fisica iii.docx

7/26/2019 INFORME 5 FISICA III.docx

1/21

NDICE

INTRODUCCIN 2

RESUMEN 3

FUNDAMENTO TERICO 4

I. MAGNETISMO 4

II. ESQUEMA DEL CAMPO MAGNETISMO TERRESTRE 5

OBJETIVOS 6

METODOLOGA 6

CLCULOS Y RESULTADOS 8

DISCUSIN DE RESULTADOS 14

CONCLUSIONES 17

BIBLIOGRAFA 17

APNDICES 18

I. APNDICE A: HOJA DE DATOS 18

II. APNDICE B: DIAGRAMA DE EQUIPO 19

III. APNDICE C: ANALISIS DE ERROR 20

1


2/21

INTRODUCCION

En !"# $%&'n('# ! )*!(# (#+(*+#& , -#n $%&'-n"#+ *n# (-%nn"

,+ (#-% -#/n"'( "&&!"& +# $'!"n('# ,+ (#-% -#/n"'( , +# "'& !(n(',# ,!, #( -*( "'-% %& !*! #%+'(#('n! # +# n#3/#('n

-,'#n" + *! , +# )&6*+#. E+ (#-% -#/n"'( "&&!"& ! , (#&7("&

3("&'#+ !* %&(('n &'n"#+ !#+# !+ , -#n #%&$'-#,# #+ %+

n&" //&7;'( * $%+'(# -*(! , +! ;n-n!

;?!'(! #!"&;?!'(! # +! >* -! !"#, !"*,'#n,.

2


3/21

RESUMEN

L# ,"&-'n#('n ,+ (#-% -#/n"'( "&&!"& %& -,' , *n -",

$%&'-n"#+ !"7 ,'!#, (- %#&" ,+ %&(! , +# #%+'(#('n , (n(%"!

"&'(! >* $%&!#n +! ;n-n! +("&'(! -#/n"'(! %&!n"! n +#("','#n',#,. L >* >*&-! &%&!n"#& ! +# /n *"'+',#, , +! +-n"!

(n(%"*#+! $%&'-n"#+! >* -! ,!(*)'&" # "! , ", + (*&!

%# !" + ,!#&&++#-! , -#n !n('++# %& n&'>*(, n (*#n" # +#!

+! ,+ (#-% -#/n"'( 'n3+*(,#! (*#n, ! /n *n# (&&'n" +("&'(#

$%+'(#n, +# /n &+#('n >* /*#&,#n !"! ,! ;n-n! (n +! (*#+! !

")#6# n -*(! ,!#&&++! n +# #("*#+',#,. N !+ )!&3#-! +

(-%&"#-'n" ,+ (#-% -#/n"'( "&&!"& n !+'"#&' !'n >* #!('#-! #

"&! ;#("&! %# +/& ,"&-'n#&+ $%&'-n"#+-n" (- + ! + (#-%

-#/n"'( ,+ '-7n , *n# )&6*+# + , *n# (&&'n" !"#)+ (n + >* +#

,"&-'n#('n ,+ )6"'3 ;'n#+ ! %*, ++3#& # (#) !#"'!;#("&'#-n".

3


4/21

FUNDAMENTO TEORICO

M#/n"'!-

L! ;n-n! -#/n"'(! ;*&n)!&3#,! %& %&'- 3 #+ -n! #(

2500 #! (n ;/-n"! , -'n+ ,'&& -#/n"'#, (&(# , +# #n"'/*#(*',#, , M#/n!'# * # ++#-#-! '-#n! %&-#nn"!! %&)#)+ >* n +# %*&"# ,+ &;&'/,&, !* /#& ## 3#&'! '-#n!%&-#nn"!. @'-! >* n +! '-#n!%&-#nn"! 6&(?#n ;* *n !)& "& !)& "&! , '&& >* n !"#)#n-#/n"'#,!.

S ,!(*)&' >* (*#n, *n# 3#&'++#, '&& n")# n (n"#(" (n *n '-7nn#"*+ #>*++# "#-)'n ! -#/n"'#)# !'+# 3#&'++# ;+"#)# n #/*# ! !*!%n,?# ,*n '+ %& !* %#&" (n"+ "n,?# ##+'n#&! (n +# ,'&(('n n&" !*&. L##/*6# , *n# )&6*+# &,'n#&'# n ! -7! >*n "& , '&& -#/n"'#,.

An"! , >* ! n"n,' +# &+#('n >* #)?# n"& +#! 'n"(('n!-#/n"'(#! +#! (#&/#! n -3'-'n" +#! 'n"(('n! , +! '-#n! %&-#nn"!

+#! #/*6#! , +#! )&6*+#! ! ,!(&')?#n n "&-'n! , %+! -#/n"'(!. S' *n '-7n%&-#nn" n ;&-# , )#& '-7n , )#& "'n +')&"#, %# /'& *n , !*!$"&-! !#+# #+ n&". E!" $"&- ! ++#-# %+ n&" %+ N + "& $"&- !+ %+ !*& %+ S. L! %+! %*!"! ! #"n +! %+! '/*#+! ! &(##n.

Un )6" >* (n"n/# '&& %& n !"-#/n"'#, *', +! %+! , *n '-7n %&-#nn". E!"# ! +##"(('n >* #("# n"& *n '-7n +# %*&"# ,

#(& n -#/n"'#,# , *n &;&'/,&. Pn#+/?# (n +#! 'n"(('n! +("&'(#!,!(&')'-! +#! 'n"(('n! (- *n '-7n , )#&>* /n *n (#-% -#/n"'( n + !%#(' >*+# &,# *n !/*n, (*&% &!%n, # ,'((#-%. L# #/*6# , *n# )&6*+# "'n, # #+'n#&!(n + (#-% -#/n"'( n +# %!'('n , +# #/*6#.

4


5/21

L# "'& -'!-# ! *n '-7n. S* %+ n&" //&7;'( !"7 (&(# ,+ %+ !*&-#/n"'( + (*#+ ! +# n %& +# >* + %+ n&" , +# #/*6# , *n# )&6*+# !#+# #+n&" "&&!"&. E+ 6 -#/n"'( , n*!"& %+#n"# n ! ,+ ", %#++ # !* 6//&7;'( * ! %&!n"# # (n"'n*#('n ! *n !>*-# ,+ (#-% -#/n"'("&&!"&. L#! +?n#! ++#-#,#! +?n#! , (#-% -#/n"'( -*!"n +# ,'&(('n >*!#+#&?# *n# )&6*+# >* !"*3' n (#,# !'"'. L# ,'&(('n n (*#+>*'& %*n" !,;'n (- +# ,'&(('n , +# ;* >* + (#-% 6&(&?# !)& *n %+ n&"-#/n"'(.

OBJETIVOS

5


6/21

1. D"&-'n#& +# -#/n'"*, , +# (-%nn" "#n/n('#+ * , 3*+"#! n' !('+.

2. Cn *n +'/& ">* #(-! >* + '-7n ;*n('n (- *n %n,*+ , "&!'n(n"#n, +! %&',! (#,# 3 >* (#-)'# + !n"', , /'&. T-#&-! +%&?, , 5 !('+#('n!. R%"'-! + %&(! 3(! !#(#-! + %&-,'.

. M,'-! +#! ,'-n!'n! +# -#!# ,+ '-7n %# +! (7+(*+!.

PARTE B!

1. C+(#-! +# )&6*+# n + %#%+" , "#+ -#n >* ! #+'n (-%+"#-n"(n + (#-% "&&!"&. En !"# ,'&(('n -#&(#,# "#-! *n 6 ,(&,n#,#! ,n, + 6 %!'"'3 !&7 +# ,'&(('n >* #%*n"# #+ n&".

2. E+ 6 $ %!'"'3 , +! 6! + ,'3','-! n -,'('n! '/*#+! , 15 (- ,,';&n('# (#,# *n.

. En (#,# ,'3'!'n (+(#&-! #%&$'-#,#-n" + (n"& , -#!# ,+ '-7n +

(*#+ ,!3'#&7 +# ,'&(('n ,+ '-7n *n 7n/*+ . Cn !"! ,#"! ++n#-!

*n# "#)+# , +# !'/*'n" ;&-#:

D'!"#n('#


7/21

7


8/21

CALCULOS Y RESULTADOS

I. S "-#n ,#"! >* ! %',n ,+ '-7n:

L*/ ! (#+(*+# *n %&', %&-,' (n+! ,#"! >* ! )"*3'&n #+ -,'& (n + (&n-"& + %&', n 5!('+#('n!:

S &(#+(# >* + %&', %# (#,# (#! ! #++ (n + "'-% ""#+ !)& 5

N ,O!('+#('n!

"

1 5 25.8 5.14

2 5 24.5 4.95

5 25.85 5.1

4 5 25.F 5.02

Tprom=5.174+4.95+5.17+5.072

4

Tprom=5.0915segundos

II. S ,-!"&7 !' (*-%+ (n +# (*#('n ,';&n('#+ ,+ MAS ! ++/#&7 #,-!"& *n# (*#('n # *!#&:

P& "&?# ! !#):

=uxB=u.B.sen

u :momento magnticode la barra

B : campomagntico horizontal terrestre

8

cM " # " $ 3 7 % & '

" $ 7 % 6 ( ) * + $ 1 %, & ( )

( $ , % & & ( )" b


9/21

R(&,#& "#-)'n >* + --n" -#/n"'( !:

L

u=m. L

) ) m : masamagntica

L: distanciaentre las masas magnticas

A%+'(#n, +# S/*n,# L ,+

M3'-'n":

0=I0 .

: torquemagntico

I0 :momento de inercia

S N :aceleracin angular

=I0

.

u.B.sen=I0

.

C*#n, ! %>* + 7n/*+ sen = n"n(!:

u . B . =I0

. !u . B . =I0

.

E(*#('n D';&n('#+ ,+ MAS:I

0. +u . B . =0

=u . B

I0

!T=2 " . I0u . B

'n#+-n" +# (*#('n # *!#& !&7:

B=4"2. I

0

u . T2(#$%&$I'(1)

9


10/21

III% P# ++3#& # (#) *n (7+(*+ (n +# ECUACIKN 1 ! n(!'"# !#)& +--n" , 'n&('# , +# )#& >* ! !#) >* !:

I:)omentode Inercia alrededor de un e*e que pasa

por el centro de lacara superior

I=) .(a2+b2)

12(#$%&$I'(2)

D +# E(*#('n 1 ! %&(, # #(& + (7+(*+ ,+ %&,*(" (-.#/"./0 B . u

(n + ,#" ,+ %&', %&-,' #n"! #++#n, + --n" , 'n&('# , +#)#& (n +# E(*#('n 2:

I0=

37.5x103+g12

.(0,0762+0.01052)

I0=1,839x 105

+g . m

L*/:

B . u=4 "2 .I0T2

B . u=4 "2 .1,839x10

5+g. m

5.09152

=2,80128x 105+g .m

s

I@. I/*#+ >* n +# %#&"


11/21

L

, N S

B - -

,

B : c ampo magnticohorizontal terrestre

Bp: campomagntico de la barraen el punto

Bp=B1B2

Bp=-

0. m

4" .

(2d . L )

(d2L2

4)2

Bp=-

0. - . d

2 " .

1

(d2L2

4)2(#$%&$I'(3)

-0:constantede permeabilidad d: distanciaal punto

m: masamagntica - :momento magntico de labarra

L: distanciaentrelasmasasmagnticas

A ! #( *n# !'-%+ &+#('n "&'/n-"&'(# (n + 7n/*+ , ,!3'#('n:

tg,=B

Bp=

B(d2L

2

4)2

2.-0 . - . d

4 "

-=4 "2.I

0

B . T2

S &-%+## * n"n(!:

11


12/21

tg,.2. -

0. d

4 " =

B(d2L2

4)2

4 "2. I0B . T2

S ,!%6# B , +# $%&!'n #n"&'& !#(#n, ? (*#,,#:

B=[ 2 "

T .(d2L2

4)] .

2.-0

. d . I 0.tg,

4 " (#$%&$I'(4 )


, :/ngulo de des0iacinde labr1*ula

I0:momento de inercia

@. # #)'n, ,-!", +# E(*#('n 4 ! %&(,&7 # (#+(*+#& + C#-%-#/n"'( "&&!"&


13/21

B (782 )=2.04762x105 T B (702 )=1.91171x 105T

B (662 )=2.19376x 105T B (502 )=2.11580x 105T

B (352 )=2.29708x105T B (152 )=2.25338x 105 T

Bprom= B()

n =2.06197x105 T

@I. E+ (#-% M#/n"'( "&&!"& "&'( ! (#+(*+#&7 (n (n ,=45 2 n ,n, +#

,'!"#n('# #+ %*n" , 22(-

Cn +# !'/*'n" (*#('n >* ! ,,*( , +# E(*#('n 4:

B= 8"

T .(4d2L2).2. 3 . I . d (#$%&$I'(5)


B=2.17629x105 T

13

,


14/21

DISCUSION DE RESULTADOS

En !" +#)"&' ! )!&3 + (-%&"#-'n" , *n '-7n ;&n" #+ (#-%-#/n"'( , +# "'& # "! , *n# &+#('n -#"-7"'(# !'-%+ !" ! '!"*,'#n, + %&', , !('+#('n ,+ '-7n "-#n, (- &;&n('# + "'-%>* n(!'"# +# )#& %# (-%+"#& 5 !('+#('n! (-%+"#! n ! "-# *nn-& -#& (- + ,'( +# /*?# ,)', >* # %#&"'& , +# !$"# !('+#('n,'!-'n* +# 3+(',#, (n +# >* /' +# )#& # 3(! n ++/# # "&-'n#& +#&3+*('n (-%+"#. S ##, >* + &;+6 , *n# %&!n# ! -* +n"# %#%,& %#& + (&n-"& n + --n" 'n,'(#, %& "#n" ,!, *n 'n'(' # !#&!" &&&. A (n &!%(" # +# &+#('n -#"-7"'(# !'-%+ ! "n,&7 >*,-!"& >* + '-7n "'n + (-%&"#-'n" , *n MAS -7! !%(?;'( + ,

*n %n,*+ , "&!'n %& + >* ! ++/#&7 # +# (*#('n (#("&?!"'(# , !"-3'-'n" < +

2=0 = (- ! #( n +! (7+(*+! &!*+"#,! "n'n, n

(*n"# +#! ,;'n'('n! , --n" -#/n"'( "&>* -#/n"'( --n" ,'n&('# (#) &!#+"#& >* + "&>* -#/n"'( (* 3#+& !&7 n/#"'3 # >* !(n"&' #+ -3'-'n" ,+ '-7n (- # +# -'!-# 3 'n"n"# ++3#&+ # *n#%!'('n , >*'+')&' (- ! %*, (-%&n,& #+ #n#+'#& +# 3#&'#('n ,+7n/*+ #,-7! ! &%&!n"# %& -,' , *n %&,*(" 3("&'#+ n"& +

14


15/21

--n" -#/n"'( + (#-% -#/n"'( *n';&-. Cn &!%(" #+ (#-%-#/n"'( *n';&- ! !"7 #)+#n, , +# (-%nn" "#n/n('#+ ,+ (#-%"&&!"& # >* !" (&*# +# !*%&;'(' "&&!"& -'n"! >* + ,'#+ !"7,'&'/', #('# + !%#(' n 'n"&3'n n ,'( !"*,'. * +# )&6*+# ,) !"#& #%*n"#n, #+ n&"#n"! , #(&(#& + '-7n %( # %(%&%n,'(*+#&-n" # !".

En *n ,"&-'n#, %*n" + '-7n /n *n (#-%-#/n"'( B (- ! !(&') #n"! >* !%&%n,'(*+#& #+ (#-% -#/n"'( "&&!"&"#n/n('#+


16/21


17/21

En +# /*?# " ,#n ,'!"#n('#! !"#)+(',#! ,n, ,)! (+(#& + '-7n %& #%#&"! ,(',' (+(#&+ # *n# ,'!"#n('# n ,n, + 7n/*+ , ,!3'#('n !# 45 #!?"#n" + (#-% ,+ I-7n ! '/*#+ #+ (#-% "#n/n('#+ ,+ (#-% "&&!"&.*'& -#"&'#+ ;&&-#/n"'( %&>* /n "& (#-% #,'('n#+ #,-7! ,+(#-% "&&!"& , +# "'&. S )!&3 >* +# &/+# , *n -#"&'#+;&&-#/n"'( %&>* #+ #(&(#&! # +# )&6*+# +#! #/*6#! ,6#&n , !"#& n !*!"#, , &%!.

E+ *! , +# &+#('n %# + %&', , !('+#('n ! ,) # ,! ;*!: %&'-&+# >* #( + '-7n 3*+3# # !* !"#, 'n'('#+ , &%! %& ! + ,'-! *n#

%>*# %&"*&)#('n # %#&"'& , ++ ! #++ + %&', #!? ++/#-! # *n#&+#('n n"& + (#-% -#/n"'( ,+ '-7n +# (-%nn" "#n/n('#+ ,+ (#-%-#/n"'(. En !" (#! + (#-% -#/n"'( "&&!"&.

n &!*-n ! "'n (- &!*+"#, >* + (#-% ,+ '-7n ! -*( -7! ;*&">* + (#-% "&&!"& # >* (*#n, ! + #(&(# + '-7n # +# )&6*+#)!&3#-! >* + +# #/*6# ,+ %+ n&" ! #"?, %& + %+ !*& ,+ '-7n.

17

IMAGE )# "p*"


18/21

BIBLIOGRAFIA

?!'(# Un'3&!'"#&'#. @+ II Un,('-# E,'('n S#&! -#n!& M *n/ M&,-#n R. M$'( 2004. 2

L'(. +'$ A(3, L'(. J*+' C'(#n# L'(. M#&( M&-# L'(. Jnn R#-?&G*?# , +#)"&' , ;?!'(# III.

M#&(+ A+n! 6. ;'n ;?!'(# 3+*-n II


19/21

APNDICE B! DIAGRAMA DE EUIPO

19

SOPORTE METLICO

IMN


20/21

APNDICE C! ANALISIS DE ERROR

S %&(, # (#+(*+#& + %&(n"#6 , &&& >* $'!" n"& + (#-% -#/n"'(#++#, #+ ,!3'#&! 45


21/21

6#rror=5.253#rror conde7ecto

+Revisar la seccin de clculos y resultados para ver las ecuacionesmencionadas,

21

informe 5 fisica iii.docx

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