praktikum fisika dasar 1 dasar pengukura
TRANSCRIPT
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Hasil experiment
a. Pengukuran panjangnst = 1 mm
x=1
21=0,5mm
Nst jangka sorong = 0,05 mmNst mikro meter scrubd = 0,01 mm
x=1
2
0,01=0,005mm
No
objekHasil pengukuran (mm)
mistar Jangka sorong mikrometer
1.ubus!ba
lok
panjan
|20,00,5| |19,100,05| |20,8700,0
|19,50,5| |19,150,05| |20,9600,0
|19,50,5| |20,200,05| |20,9450,0
lebar
|19,50,5| |20,000,05| |20,8900,0
|19,50,5| |19,900,05| |20,8750,0
|20,00,5| |19,950,05| |20,8800,0
tinggi
|20,50,5| |20,600,05| |20,5900,0
|20,50,5| |20,750,05| |20,5400,0
|20,50,5| |20,700,05| |20,5250,0
". bola #iameter
|20,00,5| |20,050,05| |20,9300,0
|19,00,5| |20,050,05| |20,9950,0
|20,00,5| |20,100,05| |20,9350,0
b. Pengukuran massa1. Neraca "$10 gram
nilai lengan 1 = 10 grams
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Nilai skala langan " = 100 gramsNilai skala lengan % = 0,1 grams
&assa beban tamba'an = 0
Table 2. Measurement Mass with Ohauss Balance 2610 gram result
bject
appointmentarm1
appointment arm"
appointmentarm%
burden'angingmass t'e
object(g)
ron
beam
*0 g 0 1,00 g 0 |81,000,05
*0 g 0 ",%0 g 0 |82,300,05
*0 g 0 ",$5 g 0 |82,650,05
+all
%0 g 0 ",%5 g 0 |32,350,05
%0 g 0 ",$0 g 0 |32,600,05
%0 g 0 ",$0 g 0 |32,600,05
". 'aus balance %11 grams
alue scalearm1=100 gramsalue scalearm"=10gramsalue scalearm%=1gramalue scalearm-=0.01gram
Tabel 3. Measurement Mass with Ohauss Balance 311 gram result
bject
appointmentarm1
appointment arm"
appointmentarm%
appointmentarm-
mass t'eobject (g)
ronbeam
0 *0 g " g 0,-15 g |82,4150,
0 *0 g " g 0,-00 g |82,4000,
0 *0 g " g 0,-10 g 82,410
ball
0 %0 g " g 0,$15 g |32,6150,0
0 %0 g " g 0,$"0 g |32,6200,0
0 %0 g " g 0,$%0 g |32,6300,0
%. 'aus balance %10 grams
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alue scalearms1 = 100 gram NST=0,1
10 = 0,01 grams
alue scalearms" = 10 gramotar/ scale alue = 0,1 gram!scale
Noniusscalealue = 10 scaleTabel 4. Measurement Mass with Ohauss Balance 310 gram result
object
appointment arm1
appointmentarm"
ppointment rotar/
scale
ppointmentNoniusscale
mass t'eobject (g)
ronbeam
0 *0 g "% scale 2 scale |82,370,0
0 *0 g "% scale $ scale |82,360,01
0 *0 g "% scale * scale |82,380,01
ball
0 %0 g %2 scale 5 scale |33,750,01
0 %0 g %3 scale * scale |33,980,01
0 %0 g %2 scale $ scale |33,760,01
c. 4imeandtemperaturemeasurementmallest scale alue t'ermometer = 167nitialtemperature = %%67mallest scale alue stop8atc' = 0,1 s
Table 5. Measurement time an temperature result
No. 4ime (s) 4emperature c)( 7'ange4'emperature(76)1 9 $0,0 : 0.1 9 9 %$,0 : 0.5 9 9 % : 1 9" 9 1"0,0 : 0.1 9 9 -1,3 : 0.5 9 9 * : 1 9% 9 1*0,0 : 0.1 9 9 -5,5 : 0.5 9 9 1",5 : 1 9- 9 "-0,0 : 0.1 9 9 50,0 : 0.5 9 9 12 : 1 9
5 9 %00,0 : 0.1 9 9 5-,5 : 0.5 9 9 "1,5 : 1 9$ 9 %$0,0 : 0.1 9 9 53,0 : 0.5 9 9 "$ : 1 9
!ata "nal#sis
1. Panjang &easurement
= p ; l ; t
v|vp| dp < |vl| dl < |vt| dt
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v
v = |l . tv| dp < |p . tv| dl < |p , . lv| dt
v
v = | l .tp . l .t| dp < | p . tp . l .t| dl < | p .lp . l .t| dt
v
v =1
p dp +1
l dl +1
t dt
vv = dpp + dll +dt
t
v
v = p
p + l
l + t
t
v =| pp + ll + tt|
a. balokmistar
Panjang p=p
1+p
2+p
3
3
p=20,0+19,5+19,5
3=19,7mm
=|p1 p|
1=|20,019,7|=0,3 mm
=|p2 p|
2=|19,519,7|=0,2
mm
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=|p3 p|
3=|19,519,7|=0,2 mm
P=max=0,3 mm
= P
P 100>
=0,30
19,7 100> = 1,5>
P? @ |P P| = |19,70,30| mm
(7onto' kasus lain ketika deiasin/a semua 0)
P =17,0mm+17,0mm+17,0mm
3 = 12,0 mm
A;= |PxP|
A1= |17,017,0|mm = 0mm
A"= |17,017,0|mm = 0mm
A"= |17,017,0|mm = 0mm
P = Ama; , tapi karena kebetulan nilai A; semua bernilai 0 maka P
adala' N4 mistar itu sendiri /aitu= 0,5mm. Bain 'aln/a ketika diperole' nilai
A; 0 maka P adala' nilai A; /ang terbesar atau Ama;.
= P
P 100>
=0,5
17,0 100> = ",3> ( % + )
P? @ |P P| = |17,00,5| mm
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Bebar
l=l1+l2+l3
3
l=19,5+19,5+20,0
3=19,7mm
1=|19,519,7|=0,2 mm
2=|19,519,7|=0,2 mm
3=|20,019,7|=0,3 mm
P=max=0,3 mm
= L
L 100>
=0,30
19,7 100> = 1,5>
P? @ |L L| = |19,70,30| mm
tinggi
t= t1+t2+ t33
t=20,5+20,5+20,5
3=20,5mm
1=|20,520,5|=0
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2=|20,520,5|=0
3=|20,520,5|=0
P=max=0 ,1 mm
= t
t 100>
=0,1
20,5 100> = -,*>
P? @ |t t | = |20,50,1| mm
Volume balok
= p ; l ; t= 13,2mm ; 13,2 mm ; "0,5 mm
= 2355,*-5 mm3
v = | pp + ll + tt|
v = |0,3
19,7+ 0,319,7
+ 020,5|7955,845
= |0,01+0,01+0|7955,845
= 153,11mm%
= 2355,*-mm%
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= V
V X100
=159,11
7955,84X100
= 1,* >
P?@ |V V | =C 7955159 Cmm%
Dntuk jangka sorong
Panjang
p=p
1+p
2+p
3
3
p=19,10+19,15+20,20
3=19,50mm
1=|19,1019,50|=0,40 mm
2=|19,1519,50|=0,35 mm
3=|20,2019,50|=0,70 mm
P=max=0,70 mm
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= P
P 100>
=0,70
19,50 100> = %,5*>
P? @ |P P| = |19,500,70| mm
Bebar
l=l1+l2+l3
3
l=20,00+19,90+19,95
3=19,95mm
=|p1 p|
1=|20,0019,95|=0,05 mm
2=|19,9019,95|=0,05 mm
3=|19,9519,95|=0
L=max=0,05 mm
= LL 100>
=0,05
19,95 100> = 0,"5>
P? @ |l l| = |19,950,05| mm
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4inggi
t=t+t
2+t
3
3
t=20,60+20,75+20,70
3=20,70mm
1=|20,60
20,70
|=0,10
mm
2=|20,7520,70|=0,05 mm
3=|20,7020,70|=0
t=max=0,10 mm
=
t
t 100>
=0,10
20,70 100> = 0,-*>
P? @ |t t | = |20,700,10| mm
Volume balok
= p ; l ; t
= 13,50 mm ; 13,35 mm ; "0,20 mm
=*05",*1 mm3
v
= |
p
p
+ l
l
+ t
t
|
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v =| 0,7019,50+ 0,0519,95= 0,1020,70|8052,81
= |0,035+0,002+0,005|8052,81
=%%*,"1mm%
=*05",*1mm%
=
V
V
X100
=338,21
8052,81X100
= -," >
P?@ |V V | =C 8052338 Cmm%
Dntuk mikrometer scrub
Panjang
p=p1+p2+p33
p=20,870+20,960+20,945
3=20,925mm
1=|20,87020,925|=0,055 mm
2=|20,96020,925|=0,035
mm
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3=|20,94520,925|=0,020 mm
P=max=0,055 mm
= P
P 100>
=0,055
20,925 100> = 0,"$">
P? @
|P P|=
|20,920,055|mm
Bebar
l=l1+l
2+l
3
3
l=20,890+20,875+20,8803
=20,882mm
=|p1 p|
1=|20,89020,882|=0,008 mm
2=|20,87520,882|=0,007 mm
3=|20,88020,882|=0,002 mm
l=max=0,008 mm
= l
l 100>
=
0,008
20,882 100> = 0,0%*>
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P? @ |l l| = |20,880,008| mm
4inggi
t=t+t2+t3
3
t=20,590+20,540+20,525
3
=20,552mm
1=|20,59020,552|=0,038 mm
2=|20,54020,552|=0,012 mm
3=|20,52520,552|=0,027 mm
t=max=0,038 mm
= t
t 100>
=0,038
20,552 100> = 0,1*->
P? @ |t t | = |20,550,038| mm
Volume balok
= p ; l ; t
= 20,925 mm ; 20,882 ; 20,552 mm
= *3*0,%1 mm%
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v = | pp + ll + tt|
v = | 0,05520,925+ 0,00820,882+ 0,03820,552|8980,31
= |0,003+0,0004+0,002|8980,31
v = -*,-3 mm%
= 8980,31 mm%
= V
V X100
=48,49
8980,31X100
= 0,5 >
P?@ |V V | =C 898048,49 Cmm%
b. bola
v =1
6 d
3
v=| v d| d
v=|(1
6 d
3) d
| d
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v=1
2 d
2 d
v=|12 d2 d|
v
v =|
1
2d
2 d
1
6 d
3 | v=|3 dd|v
KR= v
v x100
Dntuk mistar
d =20,0+19,0+20,0
3 = 13,2 mm
A;= |dd|
A1= |20,019,7|mm = 0,% mm
A;= |19,019,7|mm = 0,2 mm
A;= |20,019,7|mm = 0,% mm
d = Ama;= 0,2 mm.
P?@ |d d| = |19,70,7| mm
v =1
6 d
3
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v =1
6(3,14 )(19,7)3 = -001,0* mm%
v=|3 dd|v
v =|3(0,7) mm19,7mm|4001,08 m m3
v=|2,1mm
19,7mm
|x 4001,08mm
3
v=0,10x 4001,08mm3
v=400,108mm3
v =4001,08mm3
KR= v
v x100
KR=400,108
4001,08x 100 = 10
PF=|v v|=|4001400|mm3
Dntu jangka sorong
d =20,05+20,05+20,10
3 = "0,02 mm
A;= |dd|
A1= |20,0520,07|mm = 0,0" mm
A;= |20,0520,07|mm = 0,0" mm
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A;= |20,1020,07|mm = 0,0% mm
d = Ama;= 0,0% mm.
P?@ |d d| = |20,070,03| mm
v =1
6 d
3
v =1
6(3,14 )(20,07)3 = -"%0,2* mm%
v=|3 dd|v
v=|3(0,03)mm20,07mm|4230,78mm3
v=
|
0,09mm
20,07mm
|x 4230,78mm
3
v=0,004x 4230,78mm3
v=16,923 mm3
v =423,78mm3
KR= v
v
x100
KR=16,923
423,78x 100 = %,2
PF=|v v|=|4230,16|mm3 Dntuk mikrometer
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d =20,930+20,995+20,935
3 = "0,35% mm
A;= |dxd|
A1= |20,93020,953|mm = 0,0"% mm
A;= |20,99520,953|mm = 0,0-" mm
A;= |20,93520,953|mm = 0,01* mm
d = Ama;= 0,0-" mm
P? @ |d d| = |20,9530,042| mm
v =1
6 d
3
v=1
6(3,14 )(20,953)3 = -*1-,1" mm%
v=|3 dd|v
v=|3(0,042)mm20,953 mm|4814,12m m3
v=| 0,126mm20,953mm|x 4814,12mm3
v=0,006x 4814,12mm3
v=28,884mm3
v=4814,12 mm3
KR= v
v x100
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KR= 28,884
4814,12 cm3x 100 = 0,5
PF=|v v|=|4814 28,88|mm3
". nalisis massa jenis
=m
v = mE1
=| m| m < |v|
=|mv1
m| m < |mv1
v| =|v1| m < |mv
2|
=|
v1
mv1| m < |
mv2
mv1|
=| mm| < | vv|
=| mm|
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m=82,37+82,36+82,38
3
m=82,37 g
= 7955,84mm3
v = 153,11 mm3
1=|82,3782,37|=0
1=|82,3682,37|=0,01g
1=|82,3882,37|=0,01g
max= m=0,01 g
=mv
=82,37
7955,84
= 0,010
=| mm + vv|
= | 0,0182,37+ 159,117955,84|0,010
= 0,000"*
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=
X100
=0,00028
0,010 F 100 >
= ",* >
PF=| |=|0,010,0002|g /mm3
Jangka sorong dengan neraca %10 gram
m =m
1+m
2+ m
3
3
m=82,37+82,36+82,38
3
m=82,37 g
= 8052,81mm3
v = %%*,"1 mm3
1=|82,3782,37|=0
1=|82,3682,37|=0,01g
1=|82,3882,37|=0,01g max= m=0,01g
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=mv
=82,37
8052,81
= 0,010 g/mm3
=| mm + vv|
= | 0,0182,37+ 338,218052,81|0,010
= 0,000- g/mm3
=
X100
=0,0004
0,010 F 100 >
= - >
PF=
| |=
|0,010,0004|g/mm
3
cre8 &icrometer 8it''aus +alance %10 grams
m =m
1+m
2+ m
3
3
m=82,37+82,36+82,38
3
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m=82,37 g
= 8980,31mm3
v = 48,49mm3
1=|82,3782,37|=0
1=|82,3682,37|=0,01g
1=|82,3882,37|=0,01g max= m=0,01g
=mv
=82,37
8980,31
= 0,003 g/mm3
=| mm + vv|
= | 0,0182,37+ 48,498980,31|0,009
= 0,00005 g/mm3
=
X100
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=0,00005
0,009 F 100 >
= 0,551 >
PF=| |=|0,0090,00005|g/mm3
b. &assa jenis bola #ata dari mistar dengan neraca %10 gram
m =
m1+m
2+m
3
3
m=
82,37+82,36+82,383
m=82,37 g
= 4001,07mm3
v = 426,51mm
3
1=|82,3782,37|=0
1
=|82,3682,37
|=0,01
g
1=|82,3882,37|=0,01 g max= m=0,01 g
=
mv
=82,37
4001,07
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= 0,0"0 g/mm
3
=| mm + vv|
= | 0,0182,37+ 426,514001,07|0,020
= 0,00" g/mm
3
=
X100
=0,002
0,020 F 100 >
= 10 >
PF=| |=|0,020,002|g /mm3 #ata dari jangka sorong dengan neraca
%10
m =
m1+m
2+m
3
3
m=
82,37+82,36+82,383
m=82,37 g
= 4230,78mm3
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v = 18,97 mm
1=|82,3782,37|=0
1=|82,3682,37|=0,01g
1=|82,3882,37|=0,01g max
m=0,01
=
mv
=82,37
4230,78
= 0,013 g/mm
3
=| mm + vv|
= | 0,0182,37+ 18,974230,78|0,019
= 0,0002 g/mm
3
=
X100
=0,0007
0,019 F 100 >
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= %,$ >
PF=| |=|0,010,0007|g/mm3
#ata dari mikrometerscrub dengan neraca %10 grams
m =
m1+m
2+m
3
3
m=
82,37+82,36+82,383
m=82,37 g
= 4812,05mm3
v = 31,008mm
3
1=|82,3782,37|=0
1=|82,3682,37|=0,01g
1=|82,3882,37|=0,01 g max= m=0,01 g
=
mv
=82,37
4812,05
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= 0,012 g! mm
3
=| mm + vv|
= | 0,0182,37+ 31,0084812,05|0,017
= 0,0001 g/mm
3
=
X100
=0,0001
0,017 F 100 >
= 0,5* >
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PF=| |=|0,0170,0001|g/mm3