Proyecto de Fisica II

PROYECTO DE FISICA

DILATACION DILATACION TERMICA TERMIC A

GRUPO 10

JENNY PAOLA RUIZ CATALINA PIRATEQUE  ANAMARIA PACHON PACHON DIEGO URIBE

PRESENTADO A JORGE HUMBERTO RINCÓN

UNIVERSIDAD DE AMERICA FACULTAD DE CIENCIAS Y HUMANIDADES BOGOTA D.C 2011

PROYECTO DE FISICA

DILATACION TERMICA

GRUPO 10

PAOLA RUIZ CATALINA PIRATEQUE  ANAMARIA PACHON DIEGO URIBE

UNIVERSIDAD DE AMERICA FACULTAD DE CIENCIAS Y HUMANIDADES BOGOTA D.C 2011

OBJETIVO GENERAL Cono! " #$%&# !% on!$'o (! (&%#'#&)n '*+,&# o,o -n# o,o -n# $#+'! &,$o+'#n'! !n n-,!+o# #$%&#&on! (! &n/!n&!+# o,o $o+ !!,$%o %# -n'# (! !$#n&)n '*+,&# #$%&#(# !n !(&3&&o4 #-'o$&'# (! on+!'o4 5# 3!++o5&#+&#4 $#+!(! (! %#(+&%%o " $-!n'!4 $#+# o,$!n#+ %o #,6&o (&,!n&on#%! 7-! o-++!n # ,!(&(# 7-! #,6&# %# '!,$!+#'-+#. OBJETIVOS ESPECIFICOS 1. Cono! !% on!$'o (! (&%#'#&)n '*+,&# " #$%&#6&%&(#(. 2. A$%&# %# 3)+,-%# (! (&%#'#&)n %&n!#% $+o,!(&o !n )%&(o. 8. P-!(! (#+ $o&6%! +!$-!'# # #o $o%*,&o (! &n/!n&!+#.

DILATACION TERMICA

DILATACION TERMICA DE SOLIDOS Y LIQUIDOS.

L# ,#"o+# (! %o o6!'o ! (&%#'#n 9on'+#!n: -#n(o ! #-,!n'# 9(&,&n-"!: '!,$!+#'-+#. En !#%# ,&+o)$&#4 %# (&%#'#&)n '*+,&# (! -n -!+$o ! on!-!n&# (!% #,6&o !n %# !$#+#&)n ,!(&# !n'+! - ;'o,o o ,o%*<-%#. P#+# o,$+!n(!+ !'o4 ! on&(!+#+; -n )%&(o 7-! on'# (! -n #++!/%o +!/-%#+  (! ;'o,o ,#n'!n&(o -n&(o $o+ 3-!+=# !%*'+&#. Un ,o(!%o ,!;n&o (! !'# 3-!+=# ! &,#/&n#+ 7-! %o ;'o,o !';n -n&(o $o+ +!o+'! +/&(o4. Po+ n#'-+#%!=#4 %# 3-!+=# &n'!+#'),&# ! on&(!+#n !%;'&#. P#+# '!,$!+#'-+# !n %o +#n/o o,-n! (! %# n#'-+#%!=#4 %o ;'o,o 5&6+#n +!$!'o # - $o&&on! (! !7-&%&6+&o on -n# #,$%&'-( #$+o&,#(# (! 10 <11 , " -n# 3+!-!n&# (! 10 18 H=. L# !$#+#&)n $+o,!(&o !n'+! %o ;'o,o ! (!% o+(!n (! 10 <10 ,. A% #-,!n'#+ %# '!,$!+#'-+# (!% )%&(o4 %o ;'o,o 5&6+#n on #,$%&'-(! ,; /+#n(! " %# !$#+#&)n $+o,!(&o !n'+! !%%o #-,!n'#4 (#n(o $o+ +!-%'#(o 7-! !% )%&(o o,o -n 'o(o ! (&%#'! -#n(o #-,!n'! - '!,$!+#'-+#. S& %# (&%#'#&)n (! -#%7-&!+ o6!'o ! %o -3&&!n'!,!n'! $!7-!># !n o,$#+#&)n on - (&,!n&on!4 !% #,6&o (! -#%7-&!+ $#+'!4 %#+/o4 #n?o o #%'o4 (!n'+o (! -n# 6-!n# #$+o&,#&)n4 ! -n# 3-n&)n %&n!#% (! %# '!,$!+#'-+#. L# (&,!n&)n %&n!#% (! -n -!+$o # -n# &!+'# '!,$!+#'-+#4 # %o %#+/o (! #%/-n# (&+!&)n ! %. L# %on/&'-( #-,!n'#+# !n -n# #n'&(#( @%$#+# -n #,6&o (! '!,$!+#'-+# @T. E$!+&,!n'#%,!n'! ! (!,-!'+# 7-! !% #,6&o !n %# %on/&'-( ! $+o$o+&on#% #% #,6&o (! '!,$!+#'-+# " # %# %on/&'-( &n&&#% &!,$+! 7-! @T !# $!7-!>#. Po+ %o '#n'o4 %# !-#&)n 6;&# $#+# %# (&%#'#&)n (! -n )%&(o ! @%   % @T (on(! %# on'#n'! (! $+o$o+&on#%&(#(  ! %%#,# o!3&&!n'! $+o,!(&o (! (&%#'#&)n %&n!#% $#+# -n ,#'!+&#% (#(o4 ! ,&(! !n C <1 P#+# &%-'+#+4 $o+ .!!,$%o -n 5#%o+ (!  (! 10 < C<1 &/n&3&# 7-! %# %on/&'-( (!% o6!'o #,6&#  ,&%%on*&,# - 5#%o+ o+&/&n#% $o+ #(# /+#(o C!%&- (! 5#+&#&)n (! '!,$!+#'-+#. E% o+(!n (! ,#/n&'-( (!  $#+# %o )%&(o ! (! 1,, $o+ ,4 #(# 100 C. E% o!3&&!n'!  ! on&(!+# $+o,!(&o4 $o+7-! !n /!n!+#% 5#+&# on %# '!,$!+#'-+#4 $!+o o,n,!n'! !'# 5#+&#&)n ! (!$+!%! # %# !#%# !n 7-! ! +!#%&=#n %# ,#"o+# (! %# ,!(&&on!. Co,o %# (&,!n&on! %&n!#%! (! %o -!+$o #,6&#n on %# '!,$!+#'-+#4 ! (!(-! 7-! !% ;+!# " !% 5o%-,!n (!% -!+$o '#,6&*n #,6&#n on %# '!,$!+#'-+#. E% #,6&o !n !% 5o%-,!n # $+!&)n on'#n'! ! $+o$o+&on#% #% 5o%-,!n o+&/&n#% V " #% #,6&o (! '!,$!+#'-+#4 %o 7-! ! $-!(! !+&6&+ o,o @V   V @T

(on(!  ! !% o!3&&!n'! $+o,!(&o (! (&%#'#&)n 5o%-,*'+&#. P#+# -n )%&(o &o'+)$&o 9#7-!% !n !% -#% !% o!3&&!n'! (! (&%#'#&)n %&n!#% ! !% ,&,o !n 'o(# %# (&+!&on!:4 !% o!3&&!n'! (! (&%#'#&)n 5o%-,*'+&# ! !% '+&$%! (!% o!3&&!n'! (! (&%#'#&)n %&n!#%4 o !#4   8. Po+ %o '#n'o %# !-#&)n 12. ! $-!(! !+&6&+  o,o @V  8 V @T D! %# ,&,# 3o+,#4 $#+# -n# ?o# o $%## (!%/#(#4 !% #,6&o !n !% ;+!# (! -n# $%## &o'+)$&# ! @A  2 A @T P#+# %o /#!4 %# $+!&)n ! on'#n'! " 6## 9$+!&)n #',o3*+&# o &n3!+&o+:. O6!+5#+ 7-!  ! $o&'&5o $#+# !o ,#'!+&#%!4 $!+o $-!(!n !&'&+ 5#%o+! n!/#'&5o (!  o (! 4 %o 7-! &/n&3&# 7-! %o ,#'!+&#%! ! on'+#!n !n #%/-n# (&+!&)n -#n(o #-,!n'# %# '!,$!+#'-+#4 $o+ !!,$%o %# /o,#. Po+ %o /!n!+#%4 %o %7-&(o #-,!n'#n - 5o%-,!n #% #-,!n'#+ %# '!,$!+#'-+# " '&!n!n o!3&&!n'! (! (&%#'#&)n 5o%-,*'+&# #$+o&,#(#,!n'! 10 5!! ,; /+#n(! 7-! !% (! %o )%&(o E% #/-# ! %# !!$&)n # !'# +!/%#. Expansión del agua.

E% #/-# ! -n# -'#n&# o,$-!'# $o+ -n ;'o,o (! o/!no " (o (! ?&(+)/!no.  A '!,$!+#'-+# #,6&!n'! ! %7-&(#4 &no(o+#4 &n$&(# ! &no%o+# 9#-n7-! #(7-&!+! -n# %!5! 'on#%&(#( #=-% !n /+#n(! 5o%,!n!:. S! on&(!+# 3-n(#,!n'#% $#+# %# !&'!n&# (! %# 5&(#. No ! ono! n&n/-n# 3o+,# (! 5&(# 7-! '!n/# %-/#+ !n #-!n&# o,$%!'# (! !'# ,o%*-%#. C#& 'o(o %o %7-&(o ! !$#n(!n #% #%!n'#+!4 $!+o !% #/-# 3+# ?#! 'o(o %o on'+#+&oK4 !'! o,$o+'#,&!n'o (!% #/-# ! ,-" !'+#>o4 $!+o 7-! ! %! 5# # ?#!+4 -$on!,o 7-! %# +!#&)n ! $!+3!'# " ! (!6! #!$'#+ '#% o,o !. E% #/-# # 0 C ! on'+#! #% #-,!n'#+ - '!,$!+#'-+# ?#'# #%#n=#+ %o  C4 5#%o+ # $#+'&+ (!% -#% o,&!n=# # !$#n(&+!4 !$#n&)n 7-! on'&n-# ?#'# !% $-n'o (! !6-%%&&)n. Un# #n'&(#( (#(# (! #/-# #%#n=# - 5o%-,!n ,n&,o4 " $o+  %o '#n'o - (!n&(#( ,;&,# #  C. L# ,&,# #n'&(#( (! #/-# '&!n! - 5o%-,!n ,;&,o4 " $o+ %o '#n'o - (!n&(#( ,n&,# !n 3o+,# (! ?&!%o4 $o+ !o !% ?&!%o 3%o'# o6+! !% #/-#. Un# 5!= on5!+'&(# !n ?&!%o4 !% #/-# ! on'+#! & !/-&,o +!(-&!n(o - '!,$!+#'-+#. L# !$%&#&)n (! !'! o,$o+'#,&!n'o '&!n! 7-! 5!+  on %# !'+#># !'+-'-+# +&'#%&n# (!% ?&!%o. Lo +&'#%! (! %# ,#"o+ $#+'! (! %o )%&(o !';n !'+-'-+#(o (! '#% ,#n!+# 7-! !% !'#(o )%&(o o-$# -n 5o%-,!n ,!no+ 7-! !% !'#(o %7-&(o. P!+o !% ?&!%o '&!n! +&'#%! (! !'+-'-+# #6&!+'#4

on!-!n&# (! %# 3o+,# #n/-%#+ (! %# ,o%*-%# (! #/-# 93&/-+# 12.: " (!% ?!?o (! 7-! %# 3-!+=# 7-! -n!n %# ,o%*-%# (! #/-# on ,; &n'!n# # &!+'o ;n/-%o. L# ,o%*-%# (! #/-# !n !'# !'+-'-+# #6&!+'# o-$#n -n 5o%-,!n ,#"o+ 7-! !n !% !'#(o %7-&(o. Po+ !o !% ?&!%o ! ,!no (!no 7-! !% #/-#.

ACTTIVIDADES

1:. D!'!+,&n! %# (&%#'#&)n %&n!#% (! -n# #+#n(!%# (! #%-,&n&o & Do  24 ,  A%  2810<  '  80 C

2:. Un #n&%%o !n'+# " #%! $!+3!'#,!n'! !n !% (!(o (! -n# $!+on# !n %# Un&5!+&(#( (! A,!+&#. Po+7-! #% &+! # C#+'#/!n# no #%! !% #n&%%o on '#% 3#&%&(#( Q-! 'o(+&# ?#!+ $#+# 7-! #%/# !% #n&%%o S-$on/# 7-! !% #n&%%o ! (! o+o.

8:. Con -n# +!/%# (! #!+o # '!,$!+#'-+# #,6&!n'! (! 20 C ! ,&(! -n# 5#+&%%# " ! (!-6+! 7-! '&!n! -n# %on/&'-( (! 22 ,. T#n'o %# 5#+&%%# o,o %# +!/%# ! o%o#n !n -n ?o+no # 20 C %# 5#+&%%# ,&(! (!$-* (! !o 2240 ,4 & -#,o %# ,&,# +!/%#. C#%-%! !% o!3&&!n'! (! %# !$#n&)n '*+,&# (!% ,#'!+&#% (!% 7-! !'# ?!?o %# 5#+&%%#. Y (! #-!+(o # !'o C-;% !+; !% ,#'!+&#% (! %# 5#+&%%# :. C-;% !+; %# %on/&'-( 7-! #%#n=# -n #%#,6+! (! ?&!++o 9   04000012C: (! 20 ,4 & -3+! -n #-,!n'o (! '!,$!+#'-+# (! 0 C :. D! 7-! 3#'o+! (!$!n(! %# (&%#'#&)n (!$!n(! %# (&%#'#&)n %&n!#% (! -n )%&(o :. Un# 5#+&%%# (! #!+o '&!n! 8 , (! (&;,!'+o # 2 C. Un #n&%%o (! 6+on! '&!n! -n (&;,!'+o &n'!+&o+ (! 242 , # 2 C. A 7-! '!,$!+#'-+# !% #n&%%o ! (!%&=#+# 3;&%,!n'! $o+ %# 5#+&%%# V#+&%%#

An&%%o

D&;,!'+o  8 ,

D&;,!'+o  242 ,

To  2 C

To  2 C

 #!+o  1110<

 6+on!  110<

ANEXOS

1: D3  Do  A%Do'  24  92810<2480:  D3  2402 ,

2:. E% #n&%%o no #%! on %# ,&,# 3#&%&(#( !n C#+'#/!n# 7-! !n %# Un&5!+&(#( (!  A,!+&#4 (!6&(o # 7-! %# '!,$!+#'-+# !n C#+'#/!n# ! -$!+&o+ # %# (! Bo/o'#4 on %o -#% ! (&%#'# !% #n&%%o4 ?#&*n(o%o ,# o,$%&#(o (! ##+. Lo 7-! ! $o(+# ?#!+ $#+# 7-! !% #n&%%o #%&!+# ,# 3;&%4 !+&# ,o#+! !% (!(o on #/-# 3+#4 $#+# 7-! # %# '!,$!+#'-+# (!% (!(o 6#! " $o+ %o '#n'o ! !$#n(# !% #n&%%o.

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