univesidad nacional de ingenieria

8/18/2019 Univesidad Nacional de Ingenieria

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UNIVESIDAD NACIONAL DE INGENIERIA

FACULTAD DE INGENIERIA MECANICA

INFORME DE LABORATORIO Nº1

TITULO DE LA EXPERIENCIA:

- MEDICIÓNN Y ERROR EXPERIMENTAL- PROPAGACIÓN DEL ERROR EXPERIMENTAL- GRAFICA DE RESULTADOS DE UNA MEDICIÓN

INTEGRANTES:

- CASTRO CADILLO GINO SORELL- CHAVEZ CASTILLO ALVARO JOSE

CURSO: FISICA 1-MB223

SECCIÓN: C

DOCENTE: D! VENEGAS ROMERO JOSE GINO

FECHA DE PRESENTACIÓN: " DE ABRIL DEL 2#1$

2#1$-1




RESUMEN

OBJETIVOS:

• C%&%'( () (% *( +&, (*.'./&• G,0.', +&, 0+&'./& , ,. *( (+),*% (4(.(&,)(• C,)'+), ), *(5.,'./& *() (% '%& ), (%6,• D((.&, () (% (& () %'(% *( (*.'./&• C%&%'( ), *(0.&.'.%&( (),.5, ,) (% (4(.(&,)

DISE7O EXPERIMENTAL Y PROCEDIMIENTO

A8% ,)+&% &% (,.% () (4(.(&%9 .(&, +&% ,'6, ), ,''./& %%,&%,8, )% (+),*%9 (& () ',% *( )% 0(;%)( +&% '%<6, )% 0(;%)( '%& + ,&% =

,8% '%&,8,& '+,&% (,&9 )% .% '%& ), (*.'./& *() ,,)()(6(*% = ,) ',)'+), () (.%*% *() >&*+)%! L+(<% %'(*.% , <,0.',9 ,8+), = ',)'+), )% ?+( &%

(*6,& = %'(*.% , (%&*( () '+(.%&,.%

RESULTADOS OBTENIDOS:

A) ((. 5,., 5('( () (4(.(&% &% *.% '+(&, ?+( %*% )% *,% &% (((6,&9 (% *, , '%&%'( ?+( ,= +& '.(% (% ,) ,'( (4(.(&%9 (& () ',% *()% 0(;%)(9 (,& *.0((&( () &@(% *( 0(;%)( ',*, 5( ?+( () ,)+&% A)5,% '%<6,)% 0(;%)(9 )% .% ,% ,) ',)'+), () (.%*%9 ',*, (.%*% %8(&.*% ,, +&, .,

)%&<.+* (, ).<(,(&( *.0((&(!

CONCLUSIONES:

E .%,&( (,)., 5,., ((.'.%&( *() (4(.(&% ,, %8(&( (+),*% (4,'%9 . ,& %)% ,'(% +& (4(.(&%9 &% ,8(% . () (+),*% ?+( %8+5.%( 8.(&! E& ',8.% . ,'(% *( +& (4(.(&% '%,,(% )% (+),*% =5((% '+) ( ), *.0((&'., (&( (%9 = ,6 *(',, () ?+( ( += *.,&( *( )%*(!

PALABRAS CLAVE:

MEDICION

ERROR

GRFICAS




3. GRÁFICA DE RESULTADOS DE UNA MEDICIÓN

3!1 ANTECEDENTES EXPERIMENTALES

D+,&( +'% ,%9 )% >&*+)% ( ,& +.).,*% ,, ,', () ,% *() .(%! S.

., *( +& >&*+)% ,, , = )+(<% )% +(),9 () .(% ?+( ,*, (& 8,),&'(,( =*(+> 5%)5( , + %.'./& .&.'.,) '%&.+=( +& (6%*%! S( '%&%'( ), 0/+), ,,,)), () (6%*% ( .<+,) , *% 5('( . % ), ,6 '+,*,*, *( ), )%&<.+* *( ), '+(*,%8( ), <,5(*,* *( ), .(,9 *(%,(% (4(.(&,)(&( ?+( () (.%*% %)%*((&*( *( ), )%&<.+*9 *(('.,&*% () ',8.% *( ), <,5(*,* = ), (.(&'., *() ,.(9,(% ?+( )% (+),*% (4(.(&,)( ( ,((;(& , ), 0/+),!

3!2 OBJETIVOS

• D((.&, ), '%&*.'.%&( ,, ?+( +& >&*+)% .)( (&<, + (6%*%

.&*((&*.(&( *( + ,).+* ,&<+), ), ,).+* ,&<+), *(8( ( (&% %

.<+,) ?+( *%'(!• D((.&, ), (),'./& (&( () (6%*% = ), )%&<.+* *() >&*+)%!• G,0.', 0+&'.%&( %).&/.', ?+( (((&(& , *.', 0+&'./&!

3!3 FUNDAMENTO TEÓRICO

C%&.*((% ?+( )% .<+.(&( +&% %& )%(+),*% *( +&, (*.'./& (& () ),8%,%.%9 (% *,% (?+.5,)( ,) 0(&/(&% 06.'%(+*.,*%!

L, (),'.%&( (&( *% ,<&.+*( ( (((&,& (& () ),&%!

A?+6 ( 8+',, *((.&, ), ('+,'./& ?+( (;% ( ,;+, ,) '%&;+&% *( *,%(4(.(&,)( *() 0(&/(&% 06.'% (+*.,*%!

S( *(&%.&,, ,;+( *( '+5,9 ,) *((.&, '%& ,=% ('../& ), (),'./&,(.', ?+( ,;+, , )% (+),*% *() 0(&/(&% 06.'%!

P,, (,)., (( ,;+( ( ().<( (&( ), .<+.(&( '+5, ?+( %& ), '%+&(9 % )% (&% (& 06.', 0+&*,(&,)!


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• S. ), '%&0.<+,'./& *( +&% ( ,('( , +&, (', 9 ( , () ,;+( , +&, (',*( ('+,'./&:

• S. ), '%&0.<+,'./& *( +&% ( ,('( , +&, ,8%), 9 () ,;+( ( , , +&, ,8%), *( ('+,'./&:

D( (, 0%,9 )% +&% (4(.(&,)( +(*(& (&*( , *.0((&( '+5,9 = )%,;+( *(8(& (,).,( , (% .% .%9 *( ('+,'./& <(&>.',:

U&, 5( ()(<.*% () .% *( '+5, ,, () ,;+( ( .(&( ?+( *((.&, ), '%&,&( *(,) ,&(, ?+( .&*.5.*+,).'(& , ), (;% '+5, *(&% *( (( .%! P% (;()% . (

+5.(, ?+( ,;+, , +&, ,8%), *(8(% *((.&, ), '%&,&( ?+((;% '%.&'.*,& '%& )% (+),*% %8(&.*% (4(.(&,)(&(! 1

P% '%&.<+.(&(9 ,, ), *((.&,'./& *( ), '%&,&(9 ()(,(% ,)<+&%>%*% ,)( '%% () >%*% *( )% 6&.% '+,*,*%!

Recta mínimo cuadrática

E( >%*% '%&.( (& ,)), ), '+5, *( ), 0%, ,) ?+(9 ,<,.&., ), +, *(9 )% '+,*,*% *( ), *(5.,'.%&(9 (%

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Figura 3.1: grafca de las desviaciones respecto a la curva

Parábola mínimo cuadrática

E& (( ',% () ,;+( *( )% +&% (4(.(&,)( ( , , +&, ,8%),9 '+=,('+,'./& ( *( ), 0%,:

C%& ('+,'.%&( &%,)(:


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3! MATERIALES Y EUIPOS

• U& >&*+)% .)( *( 1!" *( )%&<.+*!• U&, (<), <,*+,*, (& • U& '%&/(%

3!" PROCEDIMIENTO Y RESULTADOS

1º E) ,)+&% G.&% +;(% () >&*+)% 5( 0.<+, 3!2 = ;+&% '%& () ,)+&% A)5,%5(.0.',%& '%& +& ,&%,*% ?+( () &<+)% (, (?+(% (&% % .<+,) , 12

RESULTADOS:

P,, &<+)% += (?+(%9 () (.%*% *( +& >&*+)% &% *((&*( *() 5,)% *( ),,).+* ,&<+),

2º A8% ,)+&% .*.(%& '%& ), (<), 5( 0.<+, 3!3 1# (*.*, *.0((&( '%& () >&*+)% = ',)'+),%& '%& () '%&/(% 5( 0.<+, 3! " 5('( () (.%*% ?+( *+,& 1#%'.),'.%&(9 , )% (+),*% %8(&.*% )% *.5.*.(%& (&( 1# ,, %8(&( () (.%*% *(+&, %'.),'./&9 ',)'+),%& ), (*., ,.>.', *( )% " (.%*% = %'(*.(%& , ,8+),)% (+),*%

RESULTADOS:


F.<+, 3!: '%&/(%F.<+, 3!3: (<),<,*+,*, (&

F.<+, 3!2: >&*+)%.)(



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3! CUESTIONARIO

1! A&(.%(&( ( )( , (*.*% ?+( ,, (*. () (.%*% *(;( ',( ), ,,[ *() >&*+)%9 \+> +'(*( . (& 5( *( ())% U*! L,&, ), ,,[]E) 5,)% *() (.%*% &% 5,6, +'% =, ?+( () &<+)% += (?+(%9 (%,&,).,&*% 8.(& ,) ),&, ), ,,9 )( ,*.&.,% '.(, 0+(, ?+( ('%&5.(( (& (&(<6, %(&'.,)9 *&*%)( ()(5,'./& ,) >&*+)%! P(% ((',8.% &% ( (0)(;, (& () 5,)% ?+( *, () '%&/(%

2! \D((&*( () (6%*% *() ,,% ?+( (&<, ), ,,] E4).?+(S(<@& ), 0/+), () (.%*% %)% *((&*( *( ), )%&<.+* *( ), '+(*,9 .'%)%',% *% >&*+)% *( *.0((&( ,, '%& +&, ., )%&<.+* *( '+(*,9,8% (&*& (.%*% ',. .<+,)(! ' 2 (

3! \D((&*( () (.%*% *() ,(.,) ?+( '%&.+=( ), ,,] N% *((&*(9 ( ..), ,) ',% *( ), ,,9 =, (, ?+( () >&*+)% (( ('% *(+& ,(.,) *( (,) % *( ).',9 .(( = '+,&*% (>& +;(% , +&, .,)%&<.+* *( '+(*,9 ,8% (&*& () .% (.%*%!

! S+%&<,% ?+( ( .*( () (6%*% '%& ,).+* ,&<+), .<+,) , " = 1#9 \E&'+,) *( )% *% ',% (+), ,=% () (.%*%]E) (.%*% &% *((&*( *( ), ,).+* ,&<+), ,, 5,)%( (&%( , 129'+,)?+.( 5,)% ?+( (&<, ), ,).+* ,&<+),9 .(( = '+,&*% (, (&% , 129( %8(&*& (.%*% ..),(!




"! P,, *((.&, () (6%*% *+,'./& *( +&, %'.),'./& '%)(,9 ( , (*.*%(*. ), *+,'./& *( 1# %'.),'.%&( = *( ,))6 *((.&, ), *+,'./& *( +&,%'.),'./&! \P% ?+> &% ( '%&5(&.(&( (*. ), *+,'./& *( +&, %), %'.),'./&]\+> +'(*(6, . .*.(, () .(% &('(,.% ,, "# %'.),'.%&(]

S. ,'(% +&, %), %'.),'./& ( '%).',*% *((.&, () (.%*% ,&(4,'%9 =, ?+( %, ,)<% *( .(% ,(, () '%&/(% = +&, %'.),'./& ,,+= .*%9 .(&, %'.),'.%&( (&<,9 (&*(% .(% ,,%8(5, () 0(&/(&%9 ,(, () '%&/(% '%& ,&?+.).*,* = ,6 ,)),6,%+& (.%*% (4,'%!

$! \D((&*(& )% '%(0.'.(&( 9 = W *( ), (&, *( +&% % *%&*( ,, 0]E& %*, 0+&'./& )% 5,)%( *( )% '%(0.'.(&( .&')+=(& (& ), <0.',

! P,, *((.&, 9 = W ( ().<.(%& ( +&% \P% ?+> &% *%] \O '+,%] N% +(*(& ( 29 %?+( (<@& ), (%6, *( ('+,'.%&(9 ,, ,)), ( 5,)%(9( &('(.,& 6&.% 3 ('+,'.%&(9 % (% '%& 3 +&% '%% 6&.% (

,)),%& )% 5,)%( *( )% '%(0.'.(&(9 '%& ,8.>&9 (% ( ?+( +0.'.(&(! E& <(&(,)9 (<@& '%% ().;, 9 = W %8(&* +& '.(% 5,)% ,, *(), *( 0\P%*6, U*! E)(<. 9 = W *( ,&(, ?+( *(), *( 0 (, 6&., ,+&?+( 0 &%

,( % &.&<+&% *( )% +&% *( ), 0+&'./& *.'(,] \P+(*( ()(<. 9 = W *(,&(, ?+( *(), *( 0 #]E) >%*% ?+( +,% ,, ',)'+), )% '%(0.'.(&( =, &% *, () 5,)% 6&.%!

! \+> +(*( ,0.,(9 (& () ((&( (4(.(&%9 '%& (('% ,) '%(0.'.(&( W*( ), 0+&'./& <T]E) 5,)% *( W ( () <,&*( *( %*%

1#! \C+&% '%(0.'.(&( *(8(6, (&( ), 0+&'./& < ,, (, (<+% ?+( *(), *(

< #]L% .% ?+( ,, 011! \O.&, U*! ?+(9 % (;()% +,&*% +& %% *( .)% *( '%( = +&, +(',9

+(*( ((. (% (4(.(&% (& + ',,]C),% ?+( ( +(*(9 (& . ',% +5( ?+( (4(.(&, '%& +& %% *( .)% = +&,

8%), ,, ,*%&, () 8%) *( &,5.*,*12! \T.(&( U*! I*(, *( '+&, %'.),'.%&( +(*( *, () >&*+)% ()(,*%9 '%& )

1## '9 ,&( *( *((&((]E) >&*+)% .)( ( ',,'(., % ( +&, %5..(&% ,/&.'% = (./*.'%9. )% ( )( ,).', &.&<+&, 0+(, () >&*+), &+&', ,, *( %'.),!

13! O8(5( ?+( ,) %), () >&*+)% ( += *.06'.) (5., ?+( ), ,, %([!\M%*.0.', ,) %,'./& () 5,)% *() (.%*%] \+> %%&*6, U*! P,, ()..&,), '.,*, %,'./&]P% ), (4(.(&'., ?+( +5(9 () (.%*% %, +& 5,)% ..), ,6 ), ,, (&<,+&, ).<(, %,'./&9 +&, ,&(, *( (5., *.', %,'./& ( %), *(,'.% ),,,9 . ), %),% 8+',(&( ,8 ), %,'./&!

3! DISCUCIÓN DE RESULTADOS




S( ((,8, ?+( , ,=% )%&<.+* *( '+(*,9 ,=% (, () (.%*% = , (&% )%&<.+*9(&% (.%*%9 ,+&?+( &% (,& %%'.%&,)(9 ( &%, +& %'% ), *((&*(&'.,9 (<@&), 0/+), () (.%*% *((&*( *( ), ,6 *( ), )%&<.+*!

E) ',)'+), )% '%(0.'.(&( *( T9 0+( += *.06'.)9 %?+( () 5,)% *( )% (.%*% (, '%&

+'% *('.,)( = ()(5,)% ,) '+,*,*% = ,) '+)% (, +,(&( (*.%%!

3! CONCLUSIONES

• E) (6%*% &% *((&*( *( ), ,, = *() .% *( ,(.,)• E) (6%*% %)% *((&*( *( ), )%&<.+* *( ), '+(*,• E) (.%*% &% *((&*( *( ), ,).+* ,&<+), ,, 5,)%( (?+(%• A) (*. " 5('( )% (.%*%9 &% %*% )% (+),*% (,& .<+,)(9 =, ?+( &% (

%.8)( ,(, () 8%/& *() '%&/(% , ), ., 5(9 .(( ,= ,)<@& (%

3!1# SUGERENCIAS

• S. 5, , ,'( () (4(.(&% (& + ',,9 ,, +;(, () >&*+)% ( +, +&,

(('.( *( +8% ?+( (( (& +& )+<, ,)%9 ,, ',8., *( )%&<.+* *( '+(*, ,, ',)'+), )% *.0((&( (.%*%9 *,)( +&, (.( *( 5+(), , ), '+(*,,)(*(*% *() +8%9 ,, ,6 &% (*( .(% ,,,&*% = *(,,,&*%

• U, +& (<), <,&*( ,, (*. ), )%&<.+* *( '+(*,9 +&, ^.&', (,6, 8.(&9

=, ?+( ,) (*. '%& +&, (<), *( )%&<.+* (&% , ), '+(*, ( ((&, +'%(%

• M(*. %),(&( ,, () 0.&,) *( ), '+(*,9 *%&*( ( ,,,*% '%& () >&*+)%9

=, ?+( ( +& %'% *.06'.) (&'%&, () '(&% *( ,, *( ,)<+&% .% *( >&*+)%

• A) %(&% *( %), () >&*+)% %), *( ,&(, +,5( = ,&?+.),9 %?+( .

%),% *( ,&(, 8+', ,8 +&, %,'./& (& () '+(%9 ,+&?+( (( &% %*+', +'% ',8.% (& () ')'+)% *() (.%*%




3!11 BIBLIOGRAF_A

1 http://www.monografias.com/trabajos71/analisis-experimetno-ajuste-

curvas/analisis-experimetno-ajuste-curvas2.shtml#ixzz44t!"1w

' 2 ( $%&'()* &a,mon (. sica* 0uarta %icin. %itorial c"raw-3ill*

15.

' 3 ( http://es.slieshare.net/fernanao12/concluio

' 4 ( Paul ). *e+itt. ,onceptos de Física. -cima edici/n. ditorial

Pearson .. de , .. 5ico. 200"

' ( -avid *allida67 Robert Resnic87 9earl al8er. Fundamentos de

Física7 olumen ; <a =aturale>a de las ,osas7 se5ta edici/n. )rupo

Patria ,ultural .. de ,.. 5ico7 2001.

' ! ( https://ivanacal.files.worpress.com/261/6/minimos-cuaraos.pf


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http://www.monografias.com/trabajos901/nuevas-tecnologias-edicion-montaje/nuevas-tecnologias-edicion-montaje.shtml


http://es.slideshare.net/fernanado125/concluido

https://ivanacal.files.wordpress.com/2013/05/minimos-cuadrados.pdf





http://es.slideshare.net/fernanado125/concluido

https://ivanacal.files.wordpress.com/2013/05/minimos-cuadrados.pdf

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