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7/26/2019 INFORME 5 FISICA III.docx
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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
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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
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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#&+ $%&'-n"#+-n" (- + ! + (#-%
-#/n"'( ,+ '-7n , *n# )&6*+# + , *n# (&&'n" !"#)+ (n + >* +#
,"&-'n#('n ,+ )6"'3 ;'n#+ ! %*, ++3#& # (#) !#"'!;#("&'#-n".
3
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FUNDAMENTO TEORICO
M#/n"'!-
L! ;n-n! -#/n"'(! ;*&n)!&3#,! %& %&'- 3 #+ -n! #(
2500 #! (n ;/-n"! , -'n+ ,'&& -#/n"'#, (&(# , +# #n"'/*#(*',#, , M#/n!'# * # ++#-#-! '-#n! %&-#nn"!! %&)#)+ >* n +# %*&"# ,+ &;&'/,&, !* /#& ## 3#&'! '-#n!%&-#nn"!. @'-! >* n +! '-#n!%&-#nn"! 6&(?#n ;* *n !)& "& !)& "&! , '&& >* n !"#)#n-#/n"'#,!.
S ,!(*)&' >* (*#n, *n# 3#&'++#, '&& n")# n (n"#(" (n *n '-7nn#"*+ #>*++# "#-)'n ! -#/n"'#)# !'+# 3#&'++# ;+"#)# n #/*# ! !*!%n,?# ,*n '+ %& !* %#&" (n"+ "n,?# ##+'n#&! (n +# ,'&(('n n&" !*&. L##/*6# , *n# )&6*+# &,'n#&'# n ! -7! >*n "& , '&& -#/n"'#,.
An"! , >* ! n"n,' +# &+#('n >* #)?# n"& +#! 'n"(('n!-#/n"'(#! +#! (#&/#! n -3'-'n" +#! 'n"(('n! , +! '-#n! %&-#nn"!
+#! #/*6#! , +#! )&6*+#! ! ,!(&')?#n n "&-'n! , %+! -#/n"'(!. S' *n '-7n%&-#nn" n ;&-# , )#& '-7n , )#& "'n +')&"#, %# /'& *n , !*!$"&-! !#+# #+ 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
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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
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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('#
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7
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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
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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
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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 +# %#&"
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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
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tg,.2. -
0. d
4 " =
B(d2L2
4)2
4 "2. I0B . T2
S ,!%6# B , +# $%&!'n #n"&'& !#(#n, ? (*#,,#:
B=[ 2 "
T .(d2L2
4)] .
2.-0
. d . I 0.tg,
4 " (#$%&$I'(4 )
B : c ampo magnticohorizontal terrestre
, :/ngulo de des0iacinde labr1*ula
I0:momento de inercia
@. # #)'n, ,-!", +# E(*#('n 4 ! %&(,&7 # (#+(*+#& + C#-%-#/n"'( "&&!"&
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B (782 )=2.04762x105 T B (702 )=1.91171x 105T
B (662 )=2.19376x 105T B (502 )=2.11580x 105T
B (352 )=2.29708x105T B (152 )=2.25338x 105 T
Bprom= B()
n =2.06197x105 T
@I. E+ (#-% M#/n"'( "&&!"& "&'( ! (#+(*+#&7 (n (n ,=45 2 n ,n, +#
,'!"#n('# #+ %*n" , 22(-
Cn +# !'/*'n" (*#('n >* ! ,,*( , +# E(*#('n 4:
B= 8"
T .(4d2L2).2. 3 . I . d (#$%&$I'(5)
B : c ampo magnticohorizontal terrestre
B=2.17629x105 T
13
,
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DISCUSION DE RESULTADOS
En !" +#)"&' ! )!&3 + (-%&"#-'n" , *n '-7n ;&n" #+ (#-%-#/n"'( , +# "'& # "! , *n# &+#('n -#"-7"'(# !'-%+ !" ! '!"*,'#n, + %&', , !('+#('n ,+ '-7n "-#n, (- &;&n('# + "'-%>* n(!'"# +# )#& %# (-%+"#& 5 !('+#('n! (-%+"#! n ! "-# *nn-& -#& (- + ,'( +# /*?# ,)', >* # %#&"'& , +# !$"# !('+#('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
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--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('#+
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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*"
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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
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APNDICE B! DIAGRAMA DE EUIPO
19
SOPORTE METLICO
IMN
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APNDICE C! ANALISIS DE ERROR
S %&(, # (#+(*+#& + %&(n"#6 , &&& >* $'!" n"& + (#-% -#/n"'(#++#, #+ ,!3'#&! 45
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6#rror=5.253#rror conde7ecto
+Revisar la seccin de clculos y resultados para ver las ecuacionesmencionadas,
21