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LAPORAN AKHIR
METROLOGI INDUSTRI
MODUL: III PENGUKURAN
KEBULATAN
DISUSUN OLEH :
KELOMPOK 13
KHAIRUL ANWAR 1007121613
RENHARD NIPTRO G 1007113735
PANGGIH DWI RAHARJO 1007113746
ESAU PANDIANGAN S 0907136053
LABORATORIUM PENGUKURAN
PROGRAM STUDI SARJANA
JURUSAN TEKNIK MESIN
FAKULTAS TEKNIK
UNIVERSITAS RIAU
2011
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i
KATA PENGANTAR
P!i "#$% $&'()i%(* A++(' ",*-. #(/ *&+(' &+i('$(/ %('(* )(/
$(%/i(/#( "&'i/( &/+i" )((* &/#&+&"(i$(/ +(%(/ &*%+i
*&/*(/PENGUKURAN KEBULATAN
+(%(/ i/i &%*!(/ /*$ &+&/$(i *(" )(/ !( )((* )i/($(/
"&((i %&&%&/"i (i (%( &(( /*$ &('(i )(/ &&+(!(%i *&/*(/
P%"&" &/$%(/ $&+(*(/-
P&/+i" !( &/($(/ *&%i( $("i' $&()( i'($8i'($ #(/ *&+('
&(/* &/+i" )(+( &/#&+&"(i$(/ +((%(/ i/i. "&'i/( ($(+(' i/i )((*
)i"&+&"(i$(/ )&/(/ "&(i$ /$i/ )(/ *&(* ()( ,($* #(/ *&+(' )i*&/*$(/-
P&/+i" &/#()(%i (',( +(%(/ i/i ("i' &i+i$i (/#($ $&$%(/(/ )(/
$&"(+('(/- U/*$ i*. &/+i" &/'(%($(/ $%i*i$ )(/ "(%(/ #(/ &(// )(%i
&(( /*$ $&"&%/((/ ($(+(' i/i $&)&(//#(- A$'i% $(*(
W(""(+((+(i$ W%- W-
P&$(/(%. D&"&&% 2011
P&/+i"
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ii
DAFTAR ISI
DATAR ISI--------------------------------------------------------------------------------------------------ii
DATAR GAMBAR ---------------------------------------------------------------------------------------- iii
------------------------------------------------------------------------------------------------- -------------- ---iii
DATAR TABEL-------------------------------------------------------------------------------------------iii
BAB I-----------------------------------------------------------------------------------------------------------1
PENDAHULUA N--------------------------------------------------------------------------------------------1
1-1 L(*(% B&+($ (/------------------------------------------------------------------------------- ----1
1-2 T!(/ P% ($ *i$ -------------------------------------------------------------------------------1
1-3 A+(* A+(*---------------------------------------------------------------------------------------------2
1-4 B&/)( $ % ----------------------------------------------------------------------------------------3
1-5 P&+($ "(/((/ P% ($ *i$ ---------------------------------------------------------------------4
BAB II----------------------------------------------------------------------------------------------------------4
TEORI DASAR ----------------------------------------------------------------------------------------------5
2-1 P&/&% *i(/-----------------------------------------------------------------------------------------5
2-2 Di(+I
/)i$ (*% ------------------------------------------------------------------------------------62-3 P%i/"i K&% !(---------------------------------------------------------------------------------------7
2-4 B(i(/8B(i(/ Di(+ I/)i$ (*% -------------------------------------------------------------7
2-5 :(%( P&//((/ Di(+ I/)i$ (*% ------------------------------------------------------10
2-6 M&*)& P&/$%(/ K& +(*(/--------------------------------------------------------10
BAB III-------------------------------------------------------------------------------------------------------12
DATA PENGAMATA N----------------------------------------------------------------------------------13
3-2 P&% 'i*/(/-------------------------------------------------------------------------------------13
BAB I;-------------------------------------------------------------------------------------------------------15
ANALISA DATA-------------------------------------------------------------------------------------------15
4-1 A/(+i"( P&/((*(/------------------------------------------------------------------------15
5-1 K&"i +(/--------------------------------------------------------------------------------------20
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iii
5-2 S(% (/----------------------------------------------------------------------------------------------20
DATAR PUSTAKA--------------------------------------------------------------------------------------20
LAMPIR A N--------------------------------------------------------------------------------------------------22
DAFTAR GAMBAR
DAFTAR TABEL
T( &+-3- 1 H("i+ P&/0(1(*(/ -------------------------------------------------------------------13
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MODUL 3/KELOMPOK 13 1
1.1 Latar Belaka!
BAB I
PENDAHULUAN
J( $%
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1.& Alat Alat
A)(/ (+(*8(+(* #(/ )i/($(/ )(+( %($*i$ ()(+('
1- S(* U/i* Dial Indikator
Ga%'ar. 1 Dial Indikator
2- M&!( R(*(
Di/($(/ "&((i *&(* $&))$(/ )i(+ i/)i$(*%
Ga%'ar. 2 M&!( R(*(
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3. Water pass
Di/($(/ /*$ &/$% $&%(*((/ $&))$(/ &!( %(*( #(/ ($(/
)i/($(/ ()( &/$%(/ $&+(*(/
Ga%'ar. & Water pass
4- V Blok
Ga%'ar ( V Blok
1.( Be)a "k"r
B&/)( $% #(/ )i/($(/ ()(+(':
1 S&(' &/)( $&%!( #(/ &%&/*$ "&+i/)&%
Ga%'ar. * B&/)( K&%!(
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1.* Pelak+aaa Prakt$k"%
1- M&!( %(*( )i+($$(/ &/&&$(/ )&/(/ &//($(/ ,(*&% ("" )&/(/
&//($(/ &*)& union jack =>&%*i$(+ )(/ '%i?/*(+@
1 2 3 4
2- B&/)( $% )i&%i *(/)( ()( i/i%/#( )(/ )i&%i /% %* "&(%(' !(% !(
=1 "((i )&/(/ 12@
3- A+(* )(/ &/)( $% )i+&*($$(/ )i (*(" &!( %(*(
4- L&*($(/ &/)( $% ()( V lok . $&)i(/ )i(*% "&'i/(/ "&/"% !( $%
&/&&+ ()( &%$((/ &/)( $% #(i* ()( "i"i /% 1
5- A*% $&*i/i(/ "&/"% !( $% "&'i/(/ !(% &//!$ /+
6- P*(% =(/$(*@ &/)( $% )&/(/ '(*i8'(*i )(/ &%+('(/ "&'i/( "&/"% !( $%
$%(/ +&i' ()( "i"i /% 2. (( $&))$(/ !( $%
7- U+(/i %"&)% /% 6 "((i "&+%' "i"i &/)( $% )i&%i$"( =)i+($$(/
+&' &/((* A@
- L($$(/ &/$%(/ )&/(/ (%( &(+i$ (%(' *(%(/ &/)( $% =)(%i /%
12 "((i 1@
9- D&/(/ *(/( &/(' set up. +(/i %"&)% /% 6 "((i =)i+($$(/
+&' &/((* B@ )i (/( $&))$(/ "&/"% !( $% *i)($ *&(* ()( "i"i
(%i" #(/ &%/%. &+(i/$(/ +&i' $%(/ ()( *&/('8*&/(' "&+(/ (/*(%(
$&)( (%i" &%/%- =)(%i "&+(/ )i (/*(%( /% 1 )(/ 2 "
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2.1 Pe!ert$a
TEORI DASAR
P&/$%(/ $&+(*(/ &%($(/ &/$%(/ #(/ )i*/!$(/ /*$
&&%i$"( $&+(*(/ "(* &/)(. (*( )&/(/ $(*( +(i/ /*$ &/&*('i (($('
"(* &/)( &/(%8&/(% +(* (*( *i)($. !i$( )i+i'(* "&(%( *&+i*i )&/(/
&//($(/ (+(* $%- P&/$%(/ $&+(*(/ &%($(/ "(+(' "(* )(%i *i&
&/$%(/ #(/ *i)($ &%/"i &/%* (%i"- K&+(*(/ )(/ )i(&*&% ()(+(' )(
$(%($*&% &&*%i" #(/ &%&)(. &"$i/ )&i$i/ $&)(/#( "(+i/ &%$(i*(/-
K&*i)($+(*(/ ($(/ &&/(%'i '("i+ &/$%(/ )i(&*&%. "&(+i$/#(
&/$%(/ )i(&*&% *i)($ "&+(+ ($(/ &//!$(/ $&*i)($+(*(/-
S&(' &/)( #(/ &%&/*$ "i+i/)&% ()( )("(%/#( )(+( &%&)((/
*&(* /#( &%&)((/ !(%i8!(%i- D&/(/ &//(($(/ (+(* $% )i(+ i/)i$(*% ()(
&/)( $% %" '("i+ %"&" *
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K/&/ )&/(/ $&+(*(/ i)&(+ ((* "+i* )i(*. )&/(/ )&i$i(/ $i*(
'(%" &/*+&%i% $&*i)($+(*(/ )(+( (*("8(*(" *i*i$ "&"(i )&/(/ *!(/ )(/
/"i )(%i $/&/ i*- K&+(*(/ &/#(i &%(/(/ &/*i/ )(+( '(+:
M&(i &(/ "(( %(*(
M&/&/*$(/ % $/&/
M&/&/*$(/ $/)i"i "(i(/
M&/&/*$(/ $&*&+i*i(/ *(%(/
M&&%+(/(% &+("(/
S((* $&+(*(/ )ii(%($(/. "&+(i/ &/#&( )(/ (%( &/(/+(/(/ $&*i)($
+(*(/. ("*i ($(/ &/(i* )&/(/ (%( &/$% $&+(*(/ )(/ ((i(/( (%(
&/#(*($(/ '(%( $&*i)($+(*(/. $(%&/( "((i "(((* i/i ()( &&%(( )&&/i"i
&/&/(i (%(&*&% $&+(*(/- K&*i)($ +(*(*(/ &%($(/ "(+(' "(* !&/i"
$&"(+('(/ &/*$ )(/ %/#( ((* &%$(i*(/ )&/(/ &&%(( $&"(+('(/ &/*$
+(i/#( "&&%*i:
K&"((((/ " )(/ $/"&/*%i"i*(" =concentricit$@
K&+%"(/ = strai%&ness@
K&*&($+%"(/ = perpendicularit$@
K&"&!(!(%(/ = parallelis'@
K&"i+i/)%i$(/ =clindricit$@
K&+(*(/ )((* )i$% )&/(/ (%( "&)&%'(/( #(/ &"$i/ *i)($ &&%i$(/
'("i+ #(/ &("$(/ )((* $i*( *&%i( /*$ &%*i(/$(/ $(+i*(" &&*%i$
)(%i $/&/ #(/ *i)($ &//** &%"#(%(*(/ #(/ *i/i- A+(* $% $&+(*(/
)i(* )&/(/ &%"#(%(*(/ &/$%(/ $&+(*(/. )(/ ()( &&%(( !&/i" (
)i/($(/ +( /*$ &/$% &%((i $&"(+('(/ &/*$-
2.2 D$al I)$kat,r
P%"&" &/$%(/ "&(%( )((* )i(%*i$(/ "&((i "(* %"&"
&(/)i/$(/ "(* (%(&*&% (*( >(%i(&+ )&/(/ "(* (%(&*&% (*( >(%i(&+
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#(/ )i(/( "&((i ((/ =(*$(/@ )(/ ((/ i/i+(' #(/ i("( )i"&* %(/
"&((i "*(/)(%-
Di(+ i/)i$(*% ()(+(' "(+(' "(* (+(* #(/ )i/($(/ /*$ &/$% $&+(*(/
"(* &/)(-B&%)("(%$(/ !&/i" (+(* $%. Di(+ I/)i$(*% *&%("$ !&/i" (+(* $%
&(/)i/ =ko'parator @ -
K(%&/( (+(* $% i/i i("( )i/($(/ /*$ &(/)i/ (*( $(%(*%. (/$(
#(/ )i*/!$(/ (+(* $% i/i &%($(/ "&+i"i' $%(/ &/)( $% )&/(/ $%(/
&/)( "*(/)(%- H("i+ &/$%(/ ()(+(' &%($(/ !+(' (/$( #(/ )i*/!$(/
+&' (+(* $% *&%"&* )&/(/ $%(/ &/)( "*(/)(%- S&)(/$(/ &/%* %"&"
&/$%(/ &&*%i Di(+ I/)i$(*% *&%("$ %"&" &/$%(/ *($ +(/"/ #(i*
&/$% #(/ )i+($"(/($(/ )&/(/ &//($(/ (+(* $% )(%i !&/i" &(/)i/.
"*(/)(% )(/ (+(* $% (/*- Di&/"i &/)( $% ()(+(' !+(' '(%( #(/
)i*/!$(/ +&' (+(* $% &(/)i/ )&/(/ )i&/"i (+(* $% "*(/)(%/#(
2.& Pr$+$- Ker#a
P%i/"i $&%!( Di(+ I/)i$(*% &//($(/ &/(' &$(/i$ =$i/&(*i$(@
#(/ &/&%"($(/ "&%*( &%(' i"#(%(* "&/"% #(/ i("(/#( &%( &%($(/
*%(/"+("i &!()i &%($(/ %*("i- C(i* ("(/(/ %)( ii )&/(/ (*(/ ii )(%i
"i"*& %)( ii #(/ )i*&%($(// ()( !( $% =)i(+ i/)i$(*%@-
2.( Ba!$aBa!$a D$al I)$kat,r
A+(* $% i/i *&%)i%i )(%i "&/"%. &/(' (*(/ ii. %)( ii )(/ &(" "&%*(
(i(/ &//!$ &%( !(% )(/ "$(+(-
P()( (i(/ &//!$#(/ &%( !( /*$ &(( "$(+( '("i+ &/$%(/
)i*'$(/ "i"i (*( #(/ *&($ +%" !(% "$(+(. /*$ &/'i/)(%i $&"(+('(/
)(+( &(((/ '("i+ &/$%(/- K&"(+('(/ '("i+ &(((/ "&%i/ )i"&*
)&/(/ $&"(+('(/ (%(+($ .
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Ga%'ar./ B(i(/ (i(/ Di(+ I/)i$(*%
B&&%(( '(+ #(/ &%+ )i&%'(*i$(/ ()( %(/(/(/ $i/&(*i$ i/i ()(+(':
♣ S(* &%($(/ *%(/"+("i "&/"% "&(/!(/ "(* i*" (*(/ ii=%($i"(+/#(
0.25 @ ($(/ &*(% %)( ii ("(/(//#( =i/i/@ "&&"(% 1
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+(i//#( *($ "(+i/ &%"i//(/. !()i ()( &+(' )i (/*(%(/#(/*$ &/!((
!(/(/ "((i ("(/(/ %)( (&* (%(8(%( ()( $&"(+('(/ %i+ #(/
&%'(%( "i*i@
Bi+( *(%(/ )i(' (%('/#(. "&&/*(%( %)( ii &*(% )(/ #(/ )i*(%
*&*( /"i/#(. %)( ii &*(% ($(/ &%(+i$ )('+ /*$ "&(/!(/ &+('
ii "&&+ &%/"i &/' &*(% %)( ii #(/ )ii*(%- K&!()i(/ i/i
)i/(($(/ "&((i $&*&%+((*(/ &%($(/ (+i$ =ack)las&@
B($8+("' #(/ *&%!()i ()( ("(/(/ %)( ii &*(% !(% &//!$ ($(/
&/(/ &(((/ "$(+( $(%&/( "i"i !(% &//!$ #(/ &%('8
(' !i$( "&/"% "&)i$i* &%(' =&%&*(%@
U/*$ &/%(/i &&$ ($8+("' )i/($(/ ($ +("' &/"(*% #(i* %)(
ii &*(% /*$ (%(' *(%(/ $&(+i$(/ )&/(/ (%(' *(%(/ %)( ii
&*(% *((- R)( ii &*(% *(( &%/"i "((* "&/"% &%&%($ /(i$
)&/(/ )(#( )%/ &%("(+ )(/ &/"%- R)( ii &*(% (%(' $&(+i$(/
&%/"i "((* "&/"% &%&%($ *%/ )&/(/ )(#( )%/ &(" "i%(+ =&/&%i
)i"i(/ +&' &(" "i%(+ "((* "&/"% &%&%($ /(i$-
♣
T&$(/(/ %i/(/ )i&%i$(/ "&/"% &%($((/ &/)( $% =*&$(/(/ &/$%(/@ &%("(+ )(%i &(" &/&$(/(/ (*(/ ii
Ga%'ar. P%i/"i P&/(' M&$(/i$ C(/ Di*&%($(/ P()( J( U$%
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2.* ara Pe!!"aa D$al I)$kat,r
P&/$%(/ $&+(*(/ )i+($$(/ )&/(/ &*(% &/)( $% "&!(' 360F )(/
"&/"% &/#&/*' &%$((/ &/)( $% #(/ )i$% $&+(*(//#(- P&/$%(/
)i+($$(/ /*$ &/&$(/ &/#i(/(/ $&+(*(/ &/)( $% *&%'()( +i/$(%(/
"&%/(- H(+ *&%"&* &%($(/ '(+ #(/ "(/(* &"&/"i(+ )(+( $/*%+ %)$"i
&$(/i$-
Ga%'ar. (%( P&//((/ Di(+ I/)i(*%
2./ Met,)e Pe!"k"ra Ke'"lata
♣ Least Squares Circle.
%&&%&/"i Least *!uares +ircle =LS@ ()(+(' &*)& #(/ (+i/
)i/($(/- L(" )(&%(' #(/ *&%** +&' %i+ "(( )&/(%/ +(" )(&%(' #(/
&%()( ()( +(%- H(+ i/i )((* )i+i'(* ()( ((%
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Ga%'ar. 3 Least *!uares +ircle
♣ Minimum Circumscribed Circle
M&*)& Mini'u' +ircu'scried +ircle =M@ &/'i*/ +i/$(%(/
"*(/)(% )&/(/ !(%i8!(%i i/i #(/ )((* &/*i %i+ )(*(- H(+ i/i
)((* )i+i'(* ()( ((%-
Ga%'ar. 10 Mini'u' +ircu'scried +ircle
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♣ Maximum Inscried Circle
M&*)& Ma,i'u' Iscried +ircle =MI@ &/'i*/ +i/$(%(/ "*(/)(%
)&/(/ !(%i8!(%i ($"i #(/ )i**i %i+ )(*(- H(+ i/i )((* )i+i'(* ()(
((%
Ga%'ar.11 Ma,i'u' Inscried +ircle
♣ Minimum Zone Circle
M&*)& Mini'u' -one +ircle =M@ &/'i*/ )( +i/$(%(/
$//"&/*%i$ #(/ &/*i %i+ )(*( "&&%*i &i"(' (%(' %()i(+ i/i-
H(+ i/i )((* )i+i'(* ()( ((%:
Ga%'ar.12 Mini'u' -one +ircle
BAB III
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&.1 Pe!a%ata A )a B
DATA PENGAMATAN
Ta'el.&. 1 Ha+$l Pe!a%ata
NP&/((* A
NP&/((* B
Si(/(/ i/)i$(*% ' Si(/(/ i/)i(*% '
1 2 /(era%e 1 2 /(era%e
1 82 2 0 1 82 1 80.5
2 1 0 0.5 2 81 1 0
3 0 4 2 3 5 1 3
4 0 1 0.5 4 0 1 0.5
5 1 1 1 5 4 1 2.5
6 0 0 0 6 3 0 1.57 1 1 1 7 0 4 2
0 4 2 0 4 2
9 4 4 4 9 82 12 5
3 3 2 2.5 5 11 82 1.5
11 0 2 1 11 82 10 4
12 0 2 1 12 81 0 80.5
&.2 Per4$t"!a
P&/((* A
P&%'i*/(/ *i( *i*i$
1- 0
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2- 0.5
3- 2
4- 0.5
5- 1
6- 0
7- 1
A- 2
9- 4
10- 1.5
11- 1
12- 1
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P&/((* B
P&%'i*/(/ *i( *i*i$
1- 80.5
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2- 0
3- 3
4- 0.5
5- 2.5
6- 1.5
7- 2
A- 2
9- 5
10- 1.5
11- 4
12- 80.5
BAB IV
ANALISA DATA
(.1 Aal$+a Pe!a%ata
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4-1-1 A/(+i"( P&/((*(/ A
1 0
2 4
5
101
27
7 2
4
B&%)("(%$(/ %($*i$ #(/ )i+($$(/ *&/*(/ &/$%(/ $&+(*(/
($( )i&%+&' (/(+i"( "&((i &%i$*:
S&*&+(' )i+($$(/ &/$%(/ #(/ )i+($$(/ ()( 12 *i*i$ =+(i )(%i
*i*i$ 1 "((i )&/(/ *i*i$ 12@ ($( )i&%+&' '(%( &/$%(/ #(/ &%&)(8
&)(. $&)i(/ )i+($$(/ &/$%(/ $&+(*(/ )&/(/ &(+i$ (%(' *(%(/
&/$%(/ =+(i )(%i *i*i$ 12 "((i )&/(/ *i*i$ 1@ '(%( #(/ )i)((*$(/
!( &%&)(- D(%i $&)( &*)& &/$%(/ *&%"&* )i%(*(8%(*($(/ $&)i(/
2 1
0
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'("i+ /i+(i $&+(*(/ #(/ )i)((* ()( &&%(( *i*i$ #(/ &%&)( )(/ ()(
&&%(( *i*i$ #(/ /i+(i $&+(*(//#( "((-
(.1.2 Aal$+a Pe!a%ata B
81
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10
8
7
1
10
3
4
7
4
B&%)("(%$(/ %($*i$ #(/ )i+($$(/ *&/*(/ &/$%(/ $&+(*(/
($( )i&%+&' (/(+i"( "&((i &%i$*
S&&%*i ()( &/((*(/ A )&/(/ &+($$(/ &/$%(/ #(/ )i+($$(/
()( 12 *i*i$ #(i* &/$%(/ )i+($$(/ *i)($ *&(* ()( "i"i *i*i$ #(/
&%/%. &+(i/$(/ ()( *&/('8*&/(' "&+(/ (/*(%( $&)( (%i" #(/
&%/%- =)(%i "&+(/ )i(/*(%( /% 1 )(/ 2 S
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/% 12 )(/ 11S
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*.1 Ke+$%-"la
D(%i &%($*i$ &/$%(/ $&+(*(/ ($( )i&%+&' $&"i+(/ "&((i
&%i$*:
1- Di(+ I/)i$(*% &%($(/ (+(* $% #(/ )i/($(/ /*$ &/$%(/
$&+(*(/ )&/(/ $&*i+i*i(/ #(/ $ &%(*
2- P&/$%(/ Di(+ I/)i$(*% &%($(/ &/$%(/ #(/ &%( (+(* $%
&(/)i/. #(/ &(/)i/$(/ "&+i"i' '(%( $%(/ )&/(/ $%(/ "*(/)(%-
3- K&"(+('(/8 $&"(+('(/ &/$%(/ )i"&($(/ &%(*% #(/ &+($$(/
&/$%(/. $&"(+('(/ (+(* $% #(/ ")(' &/(+(i $&("(/. "&%*( $&"(+('(/
&/*$ &/)( $% #(/ )i"&($(/ +&' $&"(+('(/ ()( %"&" &&"i/(/-
*.2 Sara
A)(/ "(%(/ #(/ )((* )i&%i$(/ ()( &(( "&((i &%i$*:
1-S&&+ &+($$(/ %($*i$ "&(i$/#( %($*i$(/ &/("(i *&%i *&%+&i'
)('+ ((% &)('$(/ )(+( &+($$(/ %($*i$
2- D(+( %($*i$ '&/)($/#( &/i$*i &%"&)% #(/ (i$
3- B&%"i$( "&%i" "&+(( &+($$(/ &/$%(/
4-&/$%(/ '(%" )i+($$(/ )&/(/ &%(* ((% '("i+ &/$%(/ ($%(*
DAFTAR PUSTAKA
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A-H(+). S*(*i"*i(+ T'&%# Wi*' E/i/&&%i/ A+i(*i/".J'/ Wi++
S/". I/-.N&, C%$. 1952
M)+ %($*i$ &*%+i i/)"*%i. *('/ 2011
R'i T(i$- 2001- *pesi"ikasi. Metrolo%$ Dan +ontrol Kualitas 0eo'etric I -
B(/)/ : ITB
, , , -" % i&)-
http://www.scribed.com/http://www.scribed.com/
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LAMPIRAN
MODUL 3/KELOMPOK 13 22