VALIDASI PERHITUNGAN LINGKUP MASSA ANAK TIMBANG

ANAK TIMBANG Koreksi

- Massa nominal = 2000 g Kode AT Std A2000 Nominal g 2000

Pembacaan Timbangan Selisih Standar 2000,00015 0,002

Test 2000,00215

Test 2000,00218 0,00204 Standar 2000,00014

•

Selisih = test – standar = 2000,00215 – 2000,00015 = 0,00200 g

•

Selisih = test – standar = 2000,00218 – 2000,00014 = 0,00204 g Standar 2000,00015 0,00199

Test 2000,00214

Test 2000,00217 0,00201 Standar 2000,00016

•

Selisih = test – standar = 2000,00214 – 2000,00015 = 0,00199 g

•

Selisih = test – standar = 2000,00217 – 2000,00016 = 0,00201 g

perhitungan salah/tidak sesuai

perhitungan benar

Test 2000,00213

Test 2000,00215 0,00200 Standar 2000,00015

•

Selisih = test – standar = 2000,00213 – 2000,00014 = 0,00199 g

•

Selisih = test – standar = 2000,00215 – 2000,00015 = 0,00200 g Rata–rata selisih = 𝑋 =

^{∑ selisih𝑛}

𝑛

=

0,00200+0,00204+0,00199+0,00201+0,00199+0,00200

6

= 0,002005 g

Standar deviasi = √

^{∑(selisih𝑛− 𝑋̅)2}

𝑛−1

1. (selisih − 𝑋̅)

²

= (0,00200 − 0,002005)

²

= 2,5 × 10

^-11

g 2. (selisih − 𝑋̅)

²

= (0,00204 − 0,002005)

²

= 1,225 × 10

^-9

g 3. (selisih − 𝑋̅)

²

= (0,00199 − 0,002005)

²

= 2,25 × 10

^-10

g 4. (selisih − 𝑋̅)

²

= (0,00201 − 0,002005)

²

= 2,5 × 10

^-11

g 5. (selisih − 𝑋̅)

²

= (0,00199 − 0,002005)

²

= 2,25 × 10

^-10

g 6. (selisih − 𝑋̅)

²

=(0,00201 − 0,002005)

²

= 2,5 × 10

^-11

g

Standar deviasi = √

^{2,5 × 10−11}+1,225 × 10⁻⁹+2,25 × 10⁻¹⁰+2,5 × 10⁻¹¹+2,25 × 10⁻¹⁰+2,5 × 10⁻¹¹

6−1

= 1,8708286933869706927918743661583 × 10

^-5

g

0,00200

= 2000,00341+ 0,002005

= 2.000,005415 g - Massa nominal = 1000 g

Kode AT

Std A1000

Nominal g 1000

Pembacaan Timbangan Selisih Standar 1000,00015 0,00099

Test 1000,00114

Test 1000,00116 0,00098 Standar 1000,00018

•

Selisih = test – standar = 1000,00114 – 1 000,00015 = 0,00099 g

•

Selisih = test – standar = 1000,00116 – 1000,00018 = 0,00098 g Standar 1000,00019 0,00096

Test 1000,00115

Test 1000,00118 0,00104 Standar 1000,00014

•

Selisih = test – standar = 1000,00115 – 1000,00019 = 0,00096 g

•

Selisih = test – standar = 1000,00118 – 1000,00014 = 0,00104 g

0,00103 Test 1000,00118

Test 1000,00111 0,00098 Standar 1000,00013

•

Selisih = test – standar = 1000,00118– 1000,00015 = 0,00103 g

•

Selisih = test – standar = 1000,00111– 1000,00013 = 0,00098 g Rata–rata selisih = 𝑋 =

^{∑ selisih𝑛}

𝑛

=

0,00099+0,00098+0,00096+0,00103+0,00104+0,00098

6

= 0,000996667 g

Standar deviasi = √

^{∑(selisih𝑛− 𝑋̅)2}

𝑛

1. (selisih − 𝑋̅)

²

= (0,00099 − 0,000996667 )

²

= 4,4448889 × 10

^-11

g 2. (selisih − 𝑋̅)

²

= (0,00098 − 0,000996667 )

²

= 2,77788889 × 10

^-10

g 3. (selisih − 𝑋̅)

²

= (0,00096 − 0,000996667 )

²

= 1,344468889 × 10

^-9

g 4. (selisih − 𝑋̅)

²

= (0,00103 − 0,000996667 )

²

= 1,111088889 × 10

^-9

g 5. (selisih − 𝑋̅)

²

= (0,00104 − 0,000996667 )

²

= 1,877748889 × 10

^-9

g 6. (selisih − 𝑋̅)

²

= (0,00098 − 0,000996667 )

²

= 2,77788889 × 10

^-10

g

Standar deviasi = √

5,4289 × 10⁻¹⁰+1,7689 × 10⁻¹⁰+4,489 × 10⁻¹¹+4,00689 × 10⁻⁹+5,37289 × 10⁻⁹+1,7689 × 10⁻¹⁰

6−1

= 3,1411250640495039034837915902128 × 10

^-5

g

= 1000,00015 + 0, 000996667 = 1000,001146667 g - Massa nominal = 500 g

Kode AT

Std A500

Nominal g 500

Pembacaan Timbangan Selisih Standar 500,00015 0,00200

Test 500,00215

Test 500,00218 0,00202 Standar 500,00016

•

Selisih = test – standar = 500,00215 – 5 00,00015 = 0,00200 g

•

Selisih = test – standar = 500,00218 – 5 00,00016 = 0,00202 g Standar 500,00021 0,00191

Test 500,00212

Test 500,00208 0,00189 Standar 500,00019

•

Selisih = test – standar = 500,00212 – 500,00021 = 0,00191 g

•

Selisih = test – standar = 500,00208 – 500,00019 = 0,00189 g

Test 500,00213

Test 500,00215 0,00200 Standar 500,00015

•

Selisih = test – standar = 500,00213 – 500,00014 = 0,00199 g

•

Selisih = test – standar = 500,00215 – 500,00015 = 0,00200 g Rata–rata selisih = 𝑋 =

^{∑ selisih𝑛}

𝑛

=

0,00200+0,00202+0,00191+0,00189+0,00199+0,00200

6

= 0,0019683 g

Standar deviasi = √

^{∑(selisih𝑛− 𝑋̅)2}

𝑛

1. (selisih − 𝑋̅)

²

= (0,00200 − 0,0019683)

²

= 1,00489 × 10

^-9

g 2. (selisih − 𝑋̅)

²

= (0,00202 − 0,0019683)

²

= 2,67289 × 10

^-9

g 3. (selisih − 𝑋̅)

²

= (0,00191 − 0,0019683)

²

= 3,39889 × 10

^-9

g

4. (selisih − 𝑋̅)

²

(selisih

₁

− 𝑋̅)

²

= (0,00189 − 0,0019683)

²

= 6,13089 × 10

^-9

g 5. (selisih − 𝑋̅)

²

= (0,00199 − 0,0019683)

²

= 4,7089 × 10

^-10

g

6. (selisih − 𝑋̅)

²

= (0,00200 − 0,0019683)

²

= 1,00489 × 10

^-9

g

Standar deviasi = √

1,00489 × 10⁻⁹+2,67289 × 10⁻⁹+3,39889 × 10⁻⁹+6,13089 × 10⁻⁹+4,7089 × 10⁻¹⁰+1,00489 × 10⁻⁹

6−1

= 5,4191032468481351125821184281239 × 10

^-5

g

= 500,00017 + 0,0019683 = 500,0021383g

- Massa nominal = 200 g Kode AT

Std A200

Nominal g 200

Pembacaan Timbangan Selisih Standar 200,00015 0,00296

Test 200,00311

Test 200,00308 0,00296 Standar 200,00012

•

Selisih = test – standar = 200,00311 – 200,00015 = 0,00296 g

•

Selisih = test – standar = 200,00308 – 200,00012 = 0,00296 g Standar 200,00013 0,00299

Test 200,00312

Test 200,00318 0,00303 Standar 200,00015

•

Selisih = test – standar = 200,00312 – 200,00013 = 0,00299 g

•

Selisih = test – standar = 200,00318 – 200,00015 = 0,00303 g

Test 200,00306

Test 200,00311 0,00299 Standar 200,00012

•

Selisih = test – standar = 200,00306 – 200,00018 = 0,00288 g

•

Selisih = test – standar = 200,00311 – 200,00012 = 0,00299 g Rata–rata selisih = 𝑋 =

^{∑ selisih𝑛}

𝑛

=

0,00296+0,00296+0,00299+0,00303+0,00288+0,00299

6

= 0,0029683 g

Standar deviasi = √

^{∑(selisih𝑛− 𝑋̅)2}

𝑛

1. (selisih − 𝑋̅)

²

= (0,00296 − 0, 0029683 )

²

= 6,889 × 10

^-11

g 2. (selisih − 𝑋̅)

²

= (0,00296 − 0, 0029683 )

²

= 6,889 × 10

^-11

g 3. (selisih − 𝑋̅)

²

= (0,00299 − 0, 0029683 )

²

= 4,7089 × 10

^-10

g 4. (selisih − 𝑋̅)

²

= (0,00303 − 0, 0029683 )

²

= 3,80689 × 10

^-9

g 5. (selisih − 𝑋̅)

²

= (0,00288 − 0, 0029683 )

²

= 7,79689 × 10

^-9

g 6. (selisih − 𝑋̅)

²

= (0,00299 − 0, 0029683 )

²

= 4,7089 × 10

^-10

g

Standar deviasi = √

6,889 × 10⁻¹¹+6,889 × 10⁻¹¹+4,7089 × 10⁻¹⁰+3,80689 × 10⁻⁹+7,79689× 10⁻⁹+4,7089 × 10⁻¹⁰

6−1

= 5,0365345228639106390754982705241 × 10

^-5

g

= 199,99996 + 0, 0029683 = 200,0029283 g

- Massa nominal = 100 g Kode AT

Std A100

Nominal g 100

Pembacaan Timbangan Selisih Standar 100,00015 0,00391

Test 100,00406

Test 100,00409 0,00396 Standar 100,00013

•

Selisih = test – standar = 100,00406 – 1 00,00015 = 0,00391 g

•

Selisih = test – standar = 100,00409 – 100,00013 = 0,00396 g Standar 100,00015 0,00397

Test 100,00412

Test 100,00413 0,00401 Standar 100,00012

•

Selisih = test – standar = 100,00412 – 100,00015 = 0,00397 g

•

Selisih = test – standar = 100,00413 – 100,00012 = 0,00401 g

Test 100,00407

Test 100,00409 0,00401 Standar 100,00008

•

Selisih = test – standar = 100,00407 – 100,00011 = 0,00396 g

•

Selisih = test – standar = 100,00409 – 100,00008 = 0,00401 g Rata–rata selisih = 𝑋 =

^{∑ selisih𝑛}

𝑛

=

0,00391+0,00396+0,00397+0,00401+0,00396+0,00401

6

= 0,00397 g

Standar deviasi = √

^{∑(selisih𝑛− 𝑋̅)2}

𝑛

1. (selisih − 𝑋̅)

²

= (0,00391 − 0, 00397 )

²

= 3,6 × 10

^-9

g 2. (selisih − 𝑋̅)

²

= (0,00396 − 0, 00397 )

²

= 1 × 10

^-10

g 3. (selisih − 𝑋̅)

²

= (0,00397 − 0, 00397 )

²

= 0 g

4. (selisih − 𝑋̅)

²

= (0,00401 − 0, 00397 )

²

= 1,6 × 10

^-9

g 5. (selisih − 𝑋̅)

²

= (0,00396 − 0, 00397 )

²

= 1 × 10

^-10

g 6. (selisih − 𝑋̅)

²

= (0,00401 − 0, 00397 )

²

= 1,6 × 10

^-9

g

Standar deviasi = √

^{3,6 × 10−9+1 × 10−10}+0+1,6 × 10⁻⁹+1 × 10⁻¹⁰+1,6 × 10⁻⁹

6−1

= 3,7416573867739413855837487323165 × 10

^-5

g

Massa terkoreksi = Massa konvensional AT standar + 𝑋

_{𝑠𝑒𝑙𝑖𝑠𝑖ℎ}

= 100,00007 + 0,00397 = 100,00404 g

Nominal : 2000 g

Komponen Penyumbang

Ketidakpastian Satuan Distribusi U Pembagi Vi

Ui

(U/Pembagi) Ci UiCi (UiCi)² (UiCi)⁴/Vi

Anak Timbang Standar

U = √∑ 𝑈95 𝐴𝑇 𝑆𝑇𝐷2 g Normal 0,00004 2 60 0,00002 1 0,00002 4

×

10^-10 2,667

×

10^-21

Drift Anak Timbang Standar g Rektangular 0 √3 1000 0 1 0 0 0

Koreksi buoyancy udara

U = 10% × massa jenis udara g Rektangular 0,0001184519 √3 1000

6,83882363510 2263209506124 043314

×

10^-5

1

6,83882363510 226320950612 4043314

×

10^-5

4,6769508712 033333333333 333333333

×

10^-9

2,18738694516 4961866191467 7777778

×

10^-20

Readability timbangan

U = (

^{𝑟𝑒𝑠𝑜𝑙𝑢𝑠𝑖}

2

)* √2

^g Rektangular

7,07106781186 5475244008443 6210485

×

10^-6

√3 50

4,08248290463 8630163662140 1245098

×

10^-6

1

4,08248290463 863016366214 01245098

×

10^-6

1,6667

×

10^-11 5,5556

×

10^-24

Repeatability penimbangan g Normal

1,870828693 38697069279 18743661583

× 10

^-5

√10 9

5,91607978309 9616042567328 2915617

× 10

^-6

1

5,91607978309 961604256732 82915617

×

10

^-6

3,5000000000 000000000000 000000001

×

10

^-11

1,36111111111 1111111111111 1111112

× 10

^-

22

Sensitivitas timbangan U =

√(∆𝑚𝑐 ̅̅̅̅̅̅)

²

× (

^{𝑈2𝑚𝑠}

𝑚²𝑚𝑠

+

^{𝑈2(∆𝐼𝑠)}

∆𝐼²𝑠

)

g Rektangular 0,00057879364

4845303 √3 1000

3,34166666656 6803378333343 2162176

×

10^-4

1

3,34166666656 680337833334 32162176

×

10^-4

1,1166736110 443691467426 705393633

×

10^-7

1,24695995360 2871031622222 219131

×

10^-17

Sums,∑(𝑈_𝑖𝐶𝑖)²,∑^{(𝑈𝑖𝐶𝑖)4}

𝑉_𝑖 ; g 564024800760

038726966

×

10^-7

1,24942820721 9147104599524 7980199

×

10^-17

Ketidakpastian baku gabungan, (Uc=√∑(𝑈𝑖𝐶_𝑖)²); g 3,41754266945769453998740321

72665

×

10^-4 Derajat kebebasan efektif, Veff = ^𝑈𝑐

4

∑^{(𝑈𝑖𝐶𝑖)4} 𝑉𝑖

; g 1.091,8034846707717326027727

528576

Faktor cakupan, k-student’s untuk Veff dan CL 95 % 1,96

Ketidak pastian bentangan, U = k.uc; g 6,69838363213708129837531030

58423

×

10^-4

Nominal : 1000 g

Komponen Penyumbang

Ketidakpastian Satuan Distribusi U Pembagi Vi

Ui

(U/Pembagi) Ci UiCi (UiCi)² (UiCi)⁴/Vi

Anak Timbang Standar

U = √∑ 𝑈95 𝐴𝑇 𝑆𝑇𝐷2 g Normal 0,00004 2 60 0,00002 1 0,00002 4

×

10^-10 2,667

×

10^-21

Drift Anak Timbang Standar g Rektangular 0 √3 1000 0 1 0 0 0

Koreksi buoyancy udara

U = 10% × massa jenis udara g Rektangular 0,0001184519 √3 1000

6,83882363510 2263209506124 043314

×

10^-5

1

6,83882363510 226320950612 4043314

×

10^-5

4,6769508712 033333333333 333333333

×

10^-9

2,18738694516 4961866191467 7777778

×

10^-20

U = (

^{𝑟𝑒𝑠𝑜𝑙𝑢𝑠𝑖}

2

)* √2

^g Rektangular 5475244008443 6210485

×

10^-6

√3 50 8630163662140 1245098

×

10^-6

1 863016366214 01245098

×

10^-6

1,6667

×

10^-11 5,5556

×

10^-24

Repeatability penimbangan g Normal

3,141125064 04950390348 37915902128

× 10

^-5

√10 9

9,93310961783 8715868079227 4847112

× 10

^-6

1

9,93310961783 871586807922 74847112

×

10

^-6

9,8666666679 999999999999 999999998

×

10

^-11

1,08167901263 8024691377777 7777777

× 10

^-

21

Sensitivitas timbangan U =

√(∆𝑚𝑐 ̅̅̅̅̅̅)

²

× (

^{𝑈2𝑚𝑠}

𝑚²𝑚𝑠

+

^{𝑈2(∆𝐼𝑠)}

∆𝐼²𝑠

)

g Rektangular 0,00028771288

4152706 √3 1000

1,66111111114 8884217945030 3201844

×

10^-4

1

1,66111111114 888421794503 03201844

×

10^-4

2,7592901235 822807783842 374145333

×

10^-8

7,61368198609 8718330555807 2984935

×

10^-19

Sums,∑(𝑈_𝑖𝐶𝑖)²,∑^{(𝑈𝑖𝐶𝑖)4}

𝑉_𝑖 ; g

3,2785185773 706141117175 707478666

×

10^-8

7,86996302674 1594764088731 8540491

×

10^-19

Ketidakpastian baku gabungan, (Uc=√∑(𝑈𝑖𝐶_𝑖)²); g 1,81066799203239192613852797

1225

×

10^-4 Derajat kebebasan efektif, Veff = ^𝑈𝑐

4

∑^{(𝑈𝑖𝐶𝑖)4} 𝑉𝑖

; g 1.365,7858398623912164943495

697323

Faktor cakupan, k-student’s untuk Veff dan CL 95 % 1,96

Ketidak pastian bentangan, U = k.uc; g 3,54890926438348817523151482

3601

×

10^-4

Komponen Penyumbang

Ketidakpastian Satuan Distribusi U Pembagi Vi

Ui

(U/Pembagi) Ci UiCi (UiCi)² (UiCi)⁴/Vi

Anak Timbang Standar

U = √∑ 𝑈95 𝐴𝑇 𝑆𝑇𝐷2 g Normal 0,00004 2 60 0,00002 1 0,00002 4

×

10^-10 2,667

×

10^-21

Drift Anak Timbang Standar g Rektangular 0 √3 1000 0 1 0 0 0

Koreksi buoyancy udara

U = 10% × massa jenis udara g Rektangular 0,0001184519 √3 1000

6,83882363510 2263209506124 043314

×

10^-5

1

6,83882363510 226320950612 4043314

×

10^-5

4,6769508712 033333333333 333333333

×

10^-9

2,18738694516 4961866191467 7777778

×

10^-20

Readability timbangan

U = (

^{𝑟𝑒𝑠𝑜𝑙𝑢𝑠𝑖}

2

)* √2

^g Rektangular

7,07106781186 5475244008443 6210485

×

10^-6

√3 50

4,08248290463 8630163662140 1245098

×

10^-6

1

4,08248290463 863016366214 01245098

×

10^-6

1,6667

×

10^-11 5,5556

×

10^-24

Repeatability penimbangan g Normal

5,41910324684 8135112582118 4281239 × 10^-5

√10 9

1,71367091356 5378806391734 2119476

× 10

^-5

1

1,71367091356 537880639173 42119476

×

10

^-5

2,936668 × 10^-10

9,58224326913 7777777777777 7777778

× 10

^-

21 Sensitivitas timbangan

U =

√(∆𝑚𝑐 ̅̅̅̅̅̅)

²

× (

^{𝑈2𝑚𝑠}

𝑚²𝑚𝑠

+

^{𝑈2(∆𝐼𝑠)}

∆𝐼²𝑠

)

g Rektangular 0,00056820888

9927483 √3 1000

3,28055555555 5707456963207 3184896

×

10^-4

1

3,28055555555 570745696320 73184896

×

10^-4

1,0762044753 087416395099 9571763

×

10^-

7

1,15821607267 4563893214309 7970558

×

10^-17

Sums,∑(𝑈_𝑖𝐶𝑖)²,∑^{(𝑈𝑖𝐶𝑖)4}

𝑉_𝑖 ; g 207749728433

290509633

×

10^-7

6642632858279 0426114

×

10^-17

Ketidakpastian baku gabungan, (Uc=√∑(𝑈𝑖𝐶_𝑖)²); g 3,36166227039655929330997775

04602

×

10^-4 Derajat kebebasan efektif, Veff = ^𝑈𝑐

4

∑^{(𝑈𝑖𝐶𝑖)4} 𝑉𝑖

; g 1.099,3826946908148544276854

036923

Faktor cakupan, k-student’s untuk Veff dan CL 95 % 1,96

Ketidak pastian bentangan, U = k.uc; g 6,58885804997725621488755639

0902

×

10^-4

Nominal : 200 g

Komponen Penyumbang

Ketidakpastian Satuan Distribusi U Pembagi Vi

Ui

(U/Pembagi) Ci UiCi (UiCi)² (UiCi)⁴/Vi

Anak Timbang Standar

U = √∑ 𝑈95 𝐴𝑇 𝑆𝑇𝐷2 g Normal 0,00004 2 60 0,00002 1 0,00002 4

×

10^-10 2,667

×

10^-21

Drift Anak Timbang Standar g Rektangular 0 √3 1000 0 1 0 0 0

Koreksi buoyancy udara

U = 10% × massa jenis udara g Rektangular 0,0001184519 √3 1000

6,83882363510 2263209506124 043314

×

10^-5

1

6,83882363510 226320950612 4043314

×

10^-5

4,6769508712 033333333333 333333333

×

10^-9

2,18738694516 4961866191467 7777778

×

10^-20

Readability timbangan

U = (

^{𝑟𝑒𝑠𝑜𝑙𝑢𝑠𝑖}

2

)* √2

^g Rektangular

7,07106781186 5475244008443 6210485

×

10^-6

√3 50

4,08248290463 8630163662140 1245098

×

10^-6

1 863016366214 01245098

×

10^-6

1,6667

×

10^-11 5,5556

×

10^-24

Repeatability penimbangan g Normal

5,03653452286 3910639075498 2705241 × 10^-5

√10 9

1,59269206063 1935215273396 25329

× 10

^-5

1

1,59269206063 193521527339 625329

× 10

^-5

2,536668 × 10^-10

7,14964949135 9999999999999 9999998

× 10

^-

21 Sensitivitas timbangan

U =

√(∆𝑚𝑐 ̅̅̅̅̅̅)

²

× (

^{𝑈2𝑚𝑠}

𝑚²𝑚𝑠

+

^{𝑈2(∆𝐼𝑠)}

∆𝐼²𝑠

)

g Rektangular 0,00085688402

4520768 √3 1000

4,94722222221 3552891320188 2198311

×

10^-4

1

4,94722222221 355289132018 82198311

×

10^-4

2,4475007715 963604503068 776994133

×

10^-7

5,99026002696 4779765195626 4985239

×

10^-17

Sums,∑(𝑈_𝑖𝐶_𝑖)²,∑^{(𝑈𝑖𝐶𝑖)4}

𝑉_𝑖 ; g

2,5009736183 083937836402 110327466

×

10^-7

5,99342963441 9080727061817 9663017e-17

Ketidakpastian baku gabungan, (Uc=√∑(𝑈𝑖𝐶𝑖)²); g 5,00097352353358673891917298

99423

×

10^-4 Derajat kebebasan efektif, Veff = ^𝑈𝑐

4

∑^{(𝑈𝑖𝐶𝑖)4} 𝑉𝑖

; g 1.043,6210018307554404750064

127666

Faktor cakupan, k-student’s untuk Veff dan CL 95 % 1,96

Ketidak pastian bentangan, U = k.uc; g 9,80190810612583000828157906

02869

×

10^-4

Komponen Penyumbang

Ketidakpastian Satuan Distribusi U Pembagi Vi

Ui

(U/Pembagi) Ci UiCi (UiCi)² (UiCi)⁴/Vi

Anak Timbang Standar

U = √∑ 𝑈95 𝐴𝑇 𝑆𝑇𝐷2 g Normal 0,00004 2 60 0,00002 1 0,00002 4

×

10^-10 2,667

×

10^-21

Drift Anak Timbang Standar g Rektangular 0 √3 1000 0 1 0 0 0

Koreksi buoyancy udara

U = 10% × massa jenis udara g Rektangular 0,0001184519 √3 1000

6,83882363510 2263209506124 043314

×

10^-5

1

6,83882363510 226320950612 4043314

×

10^-5

4,6769508712 033333333333 333333333

×

10^-9

2,18738694516 4961866191467 7777778

×

10^-20

Readability timbangan

U = (

^{𝑟𝑒𝑠𝑜𝑙𝑢𝑠𝑖}

2

)* √2

^g Rektangular

7,07106781186 5475244008443 6210485

×

10^-6

√3 50

4,08248290463 8630163662140 1245098

×

10^-6

1

4,08248290463 863016366214 01245098

×

10^-6

1,6667

×

10^-11 5,5556

×

10^-24

Repeatability penimbangan g Normal

3,74165738677 3941385583748 7323165 × 10^-5

√10 9

1,18321595661 9923208513465 6583123

× 10

^-5

1

1,18321595661 992320851346 56583123

×

10

^-5

1,4

× 10

^-10

2,17777777777 7777777777777 7777777

× 10

^-

21 Sensitivitas timbangan

U =

√(∆𝑚𝑐 ̅̅̅̅̅̅)

²

× (

^{𝑈2𝑚𝑠}

𝑚²𝑚𝑠

+

^{𝑈2(∆𝐼𝑠)}

∆𝐼²𝑠

)

g Rektangular 0,00114604028

434144 √3 1000

6,61666666666 6856369238878 1003872

×

10^-4

1

6,61666666666 685636923887 81003872

×

10^-4

4,3780277777 780288175150 042453333

×

10^-7

1,91671272229 9602527837963 4241568

×

10^-16

Sums,∑(𝑈_𝑖𝐶𝑖)²,∑^{(𝑈𝑖𝐶𝑖)4}

𝑉_𝑖 ; g 900621508483

375786666

×

10^-7

1,91697996432 7896801802360 3487124

×

10^-16

Ketidakpastian baku gabungan, (Uc=√∑(𝑈𝑖𝐶_𝑖)²); g 6,65609792332569439554031775

52816

×

10^-4 Derajat kebebasan efektif, Veff = ^𝑈𝑐

4

∑^{(𝑈𝑖𝐶𝑖)4} 𝑉𝑖

; g 1.023,9087080833419398062960

692788

Faktor cakupan, k-student’s untuk Veff dan CL 95 % 1,96

Ketidak pastian bentangan, U = k.uc; g 0,00130459519297183610152590

228004