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MU Calculation

This document provides calculations to determine the uncertainty in measurements for various measurement tools. It analyzes the uncertainties from factors like the instruments' resolution, temperature differences, accuracy specifications and technical standards used. Calculations are shown for a vernier caliper, micrometer and depth gauge to obtain the combined uncertainty and expanded uncertainty for each.

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mechtek 20
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0% found this document useful (0 votes)
294 views17 pages

MU Calculation

This document provides calculations to determine the uncertainty in measurements for various measurement tools. It analyzes the uncertainties from factors like the instruments' resolution, temperature differences, accuracy specifications and technical standards used. Calculations are shown for a vernier caliper, micrometer and depth gauge to obtain the combined uncertainty and expanded uncertainty for each.

Uploaded by

mechtek 20
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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Uncertainty Calculation for Vernier Caliper 0-300 mm LC = 0.02mm.

1
Calibration Procedure: SOP-01 IS 3651
Range Used for Calibration 0-300mm
Equipment Used Slip Gauge Set
Slip Gauge Accessories
Accuracy 0.10%
Uncertainty of Equipment from Calibration Certificate 0.18 µm
Resolution uuc 0.02
Resolution Master 0.001
Temp. difference between uuc and masters 1 0C
Thermal Co-eff expansion for steel 11.5 *10^-6/0C
A B C D E F G < Name of coumn
13 08
14 Parameter DATA size in mm
15 Reading Error*10-3 (Error)2
16 280.00 280.00 -8.0 64.00
17 280.02 12.0 144.00
18 280.02 12.0 144.00
19 280.00 -8.0 64.00
20 280.00 -8.0 64.00
21 AVERAGE 280.008 480.00
22 Range of Measurement 280.00 mm
23 Std. ref. temp. 20 0C
24 Actual Clibrating Temp 22 0C
25 ΔT = Tc - T ref = 2 0C
26 MU of Thermometer 0.58 0C

27 Uncertainity of Instrument 0.00018


9E-05
28 Resolution uuc 0.02
29 Reso. Master 0.001
30 Thermal Co-eff 1.15E-05 µm/m/C
31
32 STDEV 0.010954451 STDEV(E16:E20)
33
34 Type "A" Ur 0.004898979 E32/SQRT(5) DOF = 4
35 Type "B" Component 0
Std. thermal expansion due to temp
36 measurement ± 0.58 0C
U1 0.00108 (C22*C26*C30)/1.732 DOF = α
Std. thermal expansion of Master &
37 uuc U2 0.00000108 (C22*C30*C26)*0.001/1.732 DOF = α
difference in thermal expansion due to
38 coefficient of Master & uuc U3 0.0000074 (C22*C25*C30*2)*0.001/1.732 DOF = α
39 MU of Stanrd U4 0.0001 C27/1.732
40 LC of uuc U5 0.0058 (C27/2)/SQRT(3) DOF = α
41 LC of Master U6 0.00012 0.2*C29/1.732
42 Combined 0.007649852
43 ±7.6µm
44 Expanded 0.015299704
Uncertainty Calculation for Out side Micrometer 125 to 150 mm LC = 0.001mm. 1
Calibration Procedure: SOP-03 IS 2967
Equipment Used Slip Gauge Set
Range Used for Calibration 0-100 mm
Accuracy
Uncertainty of Equipment from Calibration Certificate 0.00018
Resolution uuc 0.001
Resolution Master 0.0002 mm
Temp. difference between uuc and masters 1 0C
Thermal Co-eff expansion for steel 11.5 *10^-6/0C
A B C D E F G < Name of coumn
12 08
13 Parameter DATA size in mm
14 Reading Error*10-3 (Error)2
15 147.8 147.800 -0.2 0.04
16 147.801 0.8 0.64
17 147.800 -0.2 0.04
18 147.800 -0.2 0.04
19 147.800 -0.2 0.04
20 AVERAGE 147.8002 0.80
21 Range of Measurement 147.8 mm
22 Std. ref. temp. 20 0C
23 Actual Clibrating Temp 22 0C
24 ΔT = Tc - T ref = 2 0C
25 MU of Thermometer 0.58 0C

26 Uncertainity of Instrument 0.00018


9E-05
27 Resolution uuc 0.001
28 Reso. Master 0.001
29 Thermal Co-eff 1.15E-05 µm/m/C
30
31 STDEV 0.000447214 STDEV(E15:E19)
32
33 Type "A" Ur 0.0002 E31/SQRT(5) DOF = 4
34 Type "B" Component 0
Std. thermal expansion due to temp
35 measurement ± 0.58 0C
U1 0.00000057 (C21*C25*C29)/1.732 DOF = α
Std. thermal expansion of Master &
36 uuc U2 0.00000057 (C21*C29*C25)*0.001/1.732 DOF = α
difference in thermal expansion due to
37 coefficient of Master & uuc U3 0.0000039 (C21*C24*C29*2)*0.001/1.732 DOF = α
38 MU of Stanrd U4 0.0001 C26/1.732
39 LC of uuc U5 0.0003 (C27/2)/SQRT(3) DOF = α
40 LC of Master U6 0.00012 0.2*C28/1.732
41 Combined 0.000384037
42 ±0.4µm
43 Expanded 0.000768073
Uncertainty Calculation for Depth Gauge 0-300mm LC = 0.02mm. 1
Calibration Procedure: SOP-02 IS 4213
Equipment Used Dial Calibrator
Range Used for Calibration 0 - 300 mm
Accuracy 0.10%
Uncertainty of Equipment from Calibration Certificate 0.18 µm
Resolution uuc 0.02 mm
Resolution Master 0.001 mm
Temp. difference between uuc and masters 1 0C
Thermal Co-eff expansion for steel 11.5 *10^-6/0C
A B C D E F G < Name of coumn
12 08
13 Parameter DATA size in mm
14 Reading Error*10-3 (Error)2
15 280.00 280.00 -8.0 64.00
16 280.02 12.0 144.00
17 280.02 12.0 144.00
18 280.00 -8.0 64.00
19 280.00 -8.0 64.00
20 AVERAGE 280.008 480.00
21 Range of Measurement 280.00 mm
22 Std. ref. temp. 20 0C
23 Actual Clibrating Temp 22 0C
24 ΔT = Tc - T ref = 2 0C
25 MU of Thermometer 0.58 0C

26 Uncertainity of Instrument 0.18


0.09
27 Resolution uuc 0.02
28 Reso. Master 0.001
29 Thermal Co-eff 1.15E-05 µm/m/C
30
31 STDEV 0.0109544512 STDEV(E15:E19)
32
33 Type "A" Ur 0.0048989795 E31/SQRT(5) DOF = 4
34 Type "B" Component 0
Std. thermal expansion due to temp
35 measurement ± 0.58 0C
U1 0.00000108 (C21*C25*C29)/1.732 DOF = α
Std. thermal expansion of Master &
36 uuc U2 0.00000108 (C21*C25*C29)/1.732 DOF = α
difference in thermal expansion due to
37 coefficient of Master & uuc U3 0.0000074 (C21*C24*C29*2)/1.732 DOF = α
38 MU of Stanrd U4 0.1039 C26/1.732
39 LC of uuc U5 0.0058 (C27/2)/SQRT(3) DOF = α
40 LC of Master U6 0.00012 0.2*C28/1.732
41 Combined 0.1042016332
42 ±10.4µm
43 Expanded 0.2084032664
Uncertainty Calculation for Plug Gauge 1
Calibration Procedure: SOP-03 IS 6244
Equipment Used Slip Gauge Set
Dial Comparator
Range Used for Calibration 79.400
Accuracy 0.10%
Uncertainty of Equipment from Calibration Certificate 0.00018
0.0014
Resolution uuc -
Resolution Master 0.001
Temp. difference between uuc and masters 1 0C
Thermal Co-eff expansion for steel 11.5 *10^-6/0C
A B C D E F G < Name of coumn
14 08
15 Parameter DATA size in mm Error*10-3 (Error)2
16 Reading 79.400 79.401 0.0 0.00
17 79.402 1.0 1.00
18 79.402 1.0 1.00
19 79.400 -1.0 1.00
20 79.400 -1.0 1.00
21 AVERAGE 79.401 4.00
22 Range of Measurement 79.400 mm
23 Std. ref. temp. 20 0C
24 Actual Clibrating Temp 22 0C
25 ΔT = Tc - T ref = 2 0C

26 MU of Thermometer
0.58 0C 0.0007

27 Uncertainity of Instrument
0.00018
28 0.0014
29 Resolution uuc -
30 Reso. Master 0.001
31 Thermal Co-eff 1.15E-05 µm/m/C
32
33 STDEV 0.001 STDEV(E16:E20)
34 Type "A" Ur 0.0004472 E33/SQRT(5) DOF = 4

35
Type "B" Component 0 (C21*C25*C29)/1.732 DOF = α
Std. thermal expansion due to temp
36 measurement ± 0.58 0C U1 0.00000 (C22*C26*C31)*0.001/1.732 DOF = α
Std. thermal expansion of Master &
37 uuc U2 0.00000 (C22*C31*C26)*0.001/1.732 DOF = α
38 difference in thermal expansion due to U3 0.0000 (C22*C25*C31*2)*0.001/1.732
39 coefficient
MU of Stanrdof Master & uuc
U4 0.0008 (C27/2)/SQRT(3) DOF = α
40 LC of uuc U5 #VALUE!
41 LC of Master U6 0.00012 0.2*C30/1.732
42 Combined 0.000931
43 ±0.9µm
44 Expanded 0.0018619
Uncertainty Calculation for Snap Gauge 1
Calibration Procedure: SOP-07 IS 7606
Equipment Used External Micrometer
Range Used for Calibration 84.00
Accuracy
Uncertainty of Equipment from Calibration Certificate 0.18 µm
Resolution uuc
Resolution Master 0.001
Temp. difference between uuc and masters 1 0C
Thermal Co-eff expansion for steel 11.5 *10^-6/0C
A B C D E F G < Name of coumn
12 08
13 Parameter DATA size in mm
14 Reading Error*10-3 (Error)2
15 84.000 84.000 0.0 0.00
16 84.000 0.0 0.00
17 84.000 0.0 0.00
18 84.000 0.0 0.00
19 84.000 0.0 0.00
20 AVERAGE 84.000 0.00
21 Range of Measurement 84.000 mm
22 Std. ref. temp. 20 0C
23 Actual Clibrating Temp 22 0C
24 ΔT = Tc - T ref = 2 0C
25 MU of Thermometer 0.58 0C

26 Uncertainity of Instrument 0.18


0.09
27 Resolution uuc 0.01
28 Reso. Master 0.001
29 Thermal Co-eff 1.15E-05 µm/m/C
30
31 STDEV 0 STDEV(E15:E19)
32
33 Type "A" Ur 0 E28/SQRT(5) DOF = 4
34 Type "B" Component 0
Std. thermal expansion due to temp
35 measurement ± 0.58 0C
U1 0.00032 (C21*C25*C29)/1.732 DOF = α
Std. thermal expansion of Master &
36 uuc U2 0.00000032 (C21*C29*C25)*0.001/1.732 DOF = α
difference in thermal expansion due to
37 coefficient of Master & uuc U3 0.0000022 (C21*C24*C29*2)*0.001/1.732 DOF = α
38 MU of Stanrd U4 0.1039 C26/1.732
39 LC of uuc U5 0.0029 (C27/2)/SQRT(3) DOF = α
40 LC of Master U6 0.00012 0.2*C28/1.732
41 Combined 0.103966749
42 ±10µm
43 Expanded 0.207933499
Uncertainty Calculation for Feeler Gauge 0.01 - 1mm and upto 5 mm 1
Calibration Procedure: SOP-03 IS 3179
Equipment Used External Micrometer
Range Used for Calibration 0 - 5 mm
Accuracy
Uncertainty of Equipment from Calibration Certificate 0.0078
Resolution uuc 0.01 mm
Resolution Master 0.001
Temp. difference between uuc and masters 1 0C
Thermal Co-eff expansion for steel 11.5 *10^-6/0C
A B C D E F G < Name of coumn
12 08
13 Parameter DATA size in mm
14 Reading Error*10-3 (Error)2
15 0.380 0.387 2.6 6.76 300.01
16 0.381 -3.4 11.56 300.02
17 0.382 -2.4 5.76 300.02
18 0.388 3.6 12.96 300.02
19 0.384 -0.4 0.16 300.02
20 AVERAGE 0.3844 37.20 1500.09
21 Range of Measurement 0.380 mm
22 Std. ref. temp. 20 0C
23 Actual Clibrating Temp 22 0C
24 ΔT = Tc - T ref = 2 0C
25 MU of Thermometer 0.58 0C

26 Uncertainity of Instrument 0.0078


0.0039
27 Resolution uuc 0.01
28 Reso. Master 0.001
29 Thermal Co-eff 1.15E-05 µm/m/C
30
31 STDEV 0.00304959 STDEV(E15:E19) 0.0044721
32
33 Type "A" Ur 0.001363818 E31/SQRT(5) DOF = 4
34 Type "B" Component 0
Std. thermal expansion due to temp
35 measurement ± 0.58 0C
U1 0.00000 (C21*C25*C29)/1.732 DOF = α
Std. thermal expansion of Master &
36 uuc U2 0.00000000 (C21*C29*C25)*0.001/1.732 DOF = α
difference in thermal expansion due to
37 coefficient of Master & uuc U3 0.0000000 (C21*C24*C29*2)*0.001/1.732 DOF = α
38 MU of Stanrd U4 0.0045 C26/1.732
39 LC of uuc U5 0.0029 (C27/2)/SQRT(3) DOF = α 287.5
40 LC of Master U6 0.00012 0.2*C28/1.732 0.0993072
41 Combined 0.005521581
42 ±5.5µm
43 Expanded 0.011043162
Uncertainty Calculation for Bore Gauge 1
Calibration Procedure: SOP-10
Equipment Used Dial Calibrator
Range Used for Calibration 0 - 10 mm
Accuracy
1. Universal Length Measuring Machine (Dial Indicator Calibrator) 0.017mm
2. Dial Indicator Calibrators 0.0007mm
3. Granite surface plate
Resolution uuc 0.01
Resolution Master 0.001
Temp. difference between uuc and masters 1 0C
Thermal Co-eff expansion for steel 11.5 *10^-6/0C
A B C D E F G < Name of coumn
14 08
15 Parameter DATA size in mm
16 Reading Error*10-3 (Error)2
17 1.00 1.00 0.0 0.00
18 1.00 0.0 0.00
19 1.00 0.0 0.00
20 1.00 0.0 0.00
21 1.00 0.0 0.00
22 AVERAGE 1.00 0.00
23 Range of Measurement 1.00 mm
24 Std. ref. temp. 20 0C
25 Actual Clibrating Temp 22 0C
26 ΔT = Tc - T ref = 2 0C
27 MU of Thermometer 0.58 0C
28 Uncertainity of Instrument 0.0170 0.0085
29 Uncertainity of Instrument 0.0007 mm.
30 Uncertainity of Instrument surface plate
31 Resolution uuc 0.01
32 Reso. Master 0.001
33 Thermal Co-eff 1.15E-05 µm/m/C
34
35 STDEV 0 STDEV(E17:E21)
36
37 Type "A" Ur 0 E35/SQRT(5) DOF = 4
38 Type "B" Component 0
Std. thermal expansion due to temp
39 measurement ± 0.58 0C
U1 0.00000 (C23*C27*C33)*0.001/1.732 DOF = α
Std. thermal expansion of Master & uuc
40
U2 0.00000000 (C21*C25*C29)/1.732 DOF = α
difference in thermal expansion due to
41 coefficient of Master & uuc U3 0.0000000 (C23*C26*C33*2)*0.001/1.732 DOF = α
42 MU of Stanrd U4 0.0098 C28/1.732
43 0.0004 C29/1.732
44 0.0000 C30/1.732
45 LC of uuc U5 0.0029 (C31/2)/SQRT(3) DOF = α
46 LC of Master U6 0.00012 0.2*C32/1.732
47 Combined 0.010231601
48 ±10µm
49 Expanded 0.020463201
Uncertainty Calculation for Dial Indicator 0.01 to 10 mm LC = 0.01mm. 1
Calibration Procedure: SOP-03 IS 2092 11498
Equipment Used Dial Calibrator
Range Used for Calibration 0 - 10 mm
Accuracy
Uncertainty of Equipment from Calibration Certificate 0.7 µm
Resolution uuc 0.01 mm
Resolution Master 0.0002 mm
Temp. difference between uuc and masters 1 0C
Thermal Co-eff expansion for steel 11.5 *10^-6/0C
A B C D E F G < Name of coumn
12 08
13 Parameter DATA size in mm
14 Reading Error*10-3 (Error)2
15 9.80 9.800 -4.0 16.00
16 9.800 -4.0 16.00
17 9.810 6.0 36.00
18 9.810 6.0 36.00
19 9.800 -4.0 16.00
20 AVERAGE 9.804 120.00
21 Range of Measurement 9.8 mm
22 Std. ref. temp. 20 0C
23 Actual Clibrating Temp 22 0C
24 ΔT = Tc - T ref = 2 0C
25 MU of Thermometer 0.58 0C

26 Uncertainity of Instrument 0.00


0.000375
27 Resolution uuc 0.01
28 Reso. Master 0.0002
29 Thermal Co-eff 1.15E-05 µm/m/C
30
31 STDEV 0.005477226 STDEV(E15:E19)
32
33 Type "A" Ur 0.00244949 E28/SQRT(5) DOF = 4
34 Type "B" Component 0
Std. thermal expansion due to temp
35 measurement ± 0.58 0C
U1 0.00004 (C21*C25*C29)/1.732 DOF = α
Std. thermal expansion of Master &
36 uuc U2 0.00000004 (C21*C25*C29)/1.732 DOF = α
difference in thermal expansion due to
37 coefficient of Master & uuc U3 0.0000003 (C21*C24*C29*2)*0.001/1.732 DOF = α
38 MU of Stanrd U4 0.0004 C26/1.732
39 LC of uuc U5 0.0029 (C27/2)/SQRT(3) DOF = α
40 LC of Master U6 0.00002 0.2*C28/1.732
41 Combined 0.003810879
42 ±0.866µm
43 Expanded 0.007621759
Uncertainty Calculation for Vernier Height Gauge 0-300 mm LC = 0.02mm.

Calibration Procedure: SOP-14 IS 3651


Equipment Used Slip Gauge & Height Master
Range Used for Calibration 0 - 300 mm
Accuracy 0.10%
Uncertainty of Equipment from Calibration Certificate Slip Gauge 0.00018 mm
Uncertainty of Equipment from Calibration Certificate Height Master 0.0055mm
Resolution uuc 0.02 mm
Resolution Master 0.0002 mm
Temp. difference between uuc and masters 1 0C
Thermal Co-eff expansion for steel 11.5 *10^-6/0C
A B C D E F G < Name of coumn
13 08
14 Parameter DATA size in mm
15 Reading Error*10-3 (Error)2
16 280.00 280.00 -8.0 64.00
17 280.02 12.0 144.00
18 280.02 12.0 144.00
19 280.00 -8.0 64.00
20 280.00 -8.0 64.00
21 AVERAGE 280.008 480.00
22 Range of Measurement 280.00 mm
23 Std. ref. temp. 20 0C
24 Actual Clibrating Temp 22 0C
25 ΔT = Tc - T ref = 2 0C
26 MU of Thermometer 0.58 0C
27 Uncertainity of slip gauge set 0.00018

28 Uncertainity of Height Micrometer 0.0055


0.00275
29 Resolution uuc 0.02
30 Reso. Master 0.0002
31 Thermal Co-eff 1.15E-05 µm/m/C
32
33 STDEV 0.010954451 STDEV(E16:E20)
34
35 Type "A" Ur 0.004898979 E33/SQRT(5) DOF = 4
36 Type "B" Component 0
Std. thermal expansion due to temp
37 measurement ± 0.58 0C
U1 0.00000 (C22*C26*C31)*0.001/1.732 DOF = α
Std. thermal expansion of Master &
38 uuc U2 0.00000108 (C22*C31*C26)*0.001/1.732 DOF = α
difference in thermal expansion due to
39 coefficient of Master & uuc U3 0.0000074 (C22*C25*C31*2)*0.001/1.732 DOF = α
MU of Stanrd
40
U4 0.0001 C27/1.732
41 MU of Stanrd U4 0.0032 C28/1.732
42 LC of uuc U5 0.0058 (C29/2)/SQRT(3) DOF = α
43 LC of Master U6 0.00002 0.2*C30/1.732
44 Combined 0.008210837
45 ±0.821µm
46 Expanded 0.016421675
Uncertainty Calculation for Vernier Height Gauge 0-300 mm LC = 0.02mm.

Calibration Procedure: SOP-09 IS 3651


Equipment Used Slip Gauge & Floating Carriage
Micrometer & Wire set
Range Used for Calibration 0-100 mm
Accuracy 0.10%
Uncertainty of Equipment from Calibration Certificate Slip Gauge 0.00018 mm
Uncertainty of Equipment from Calibration Certificate thread measuring pin. ±1.2µm
Uncertainty of Equipment from ±0.0015 mm up to 100 mm
Calibration Certificate floating carriage
Resolution uuc -
micrometer
Resolution Master 0.0002 mm
Temp. difference between uuc and masters 1 0C
Thermal Co-eff expansion for steel 11.5 *10^-6/0C
A B C D E F G < Name of coumn
13 08
14 Parameter DATA size in mm
15 Reading Error*10-3 (Error)2
16 86.264 86.264 -0.8 0.64
17 86.266 1.2 1.44
18 86.264 -0.8 0.64
19 86.264 -0.8 0.64
20 86.266 1.2 1.44
21 AVERAGE 86.2648 4.80
22 Range of Measurement 86.264 mm
23 Std. ref. temp. 20 0C
24 Actual Clibrating Temp 22 0C
25 ΔT = Tc - T ref = 2 0C
26 MU of Thermometer 0.58 0C
27 Uncertainity of slip gauge set 0.00018
Uncertainty of Equipment from 1.2 µm
28 Calibration Certificate thread
measuring pin. 0.6
Uncertainty of Equipment from 0.0015 mm up to
Calibration Certificate floating carriage 100 mm
micrometer
29 Resolution uuc 0
30 Reso. Master 0.0002
31 Thermal Co-eff 1.15E-05 µm/m/C
32
33 STDEV 0.001095445 STDEV(E16:E20)
34
35 Type "A" Ur 0.000489898 E33/SQRT(5) DOF = 4
36 Type "B" Component 0
Std. thermal expansion due to temp
37 measurement ± 0.58 0C
U1 0.00000 (C22*C26*C31)*0.001/1.732 DOF = α
Std. thermal expansion of Master & uuc
38
U2 0.00000033 (C22*C31*C26)*0.001/1.732 DOF = α
difference in thermal expansion due to
39 coefficient of Master & uuc U3 0.0000023 (C22*C25*C31*2)*0.001/1.732 DOF = α
MU of Stanrd
40
U4 0.0001 C27/1.732
41 MU of Stanrd U4 0.6928 C28/1.732
42 LC of uuc U5 0.0000 (C29/2)/SQRT(3) DOF = α
43 LC of Master U6 0.00002 0.2*C30/1.732
44 Combined 0.69284082
45 ±0.692µm
46 Expanded 1.38568164
Uncertainty Calculation for Pressure Gauge 25 bar
Calibration Procedure: SOP-12 DKD - R- 6 -1
Equipment Used Pressure Calibrator
Range Used for Calibration 25 baf
Accuracy 0.10%
Uncertainty of Equipment from Calibration Certificate 0.047 bar
Resolution master 0.001
Temp. difference between uuc and masters 0.5 0C
Thermal Co-eff expansion for steel 11.5 µm/m/C
A B C D E F G < Name of coumn
11 08
12 Parameter DATA size in mm
13 Reading Error*10-3 (Error)2
14 25.000 25.001 -0.2 0.04
15 25.002 0.8 0.64
16 25.002 0.8 0.64
17 25.001 -0.2 0.04
18 25.000 -1.2 1.44
19 AVERAGE 25.0012 2.80
20 Uncertainity of 0.05 0.0235
21 Instrument
Accuracy 0.1 % of rdg 0.25
22 Resolution 0.001
23 Temp. 0.5 0C
24 Thermal Co-eff 11.5 µm/m/C
25 STDEV 0.00083666 STDEV(E18:E22)
26
27 Type "A" Ur 0.00037417 E25/SQRT(5) DOF = 4
28 Type "B" 0
29 U1 0.0235 ((D20/2) DOF = α
30 U2 0.0144 (D21*E19*0.01)/SQRT(3) DOF = α
31 U3 0.0003 (D22/2)/SQRT(3) DOF = α
32 U4 0.4913 D23*D24*0.148/1.732 DOF = α
33 Ub 0.4921131
34 Combined
35 Ucom 0.98422624 ±0.98 bar
36
37
Uncertainty Calculation for Out side micrometer 0-25 mm LC = 0.001mm. 1
Calibration Procedure: SOP-03 IS 2961
Equipment Used External Micrometer
Range Used for Calibration Slip Gauge Set
Accuracy 0.10%
Uncertainty of Equipment from Calibration Certificate 0.18 µm
Resolution uuc 0.001 mm
Resolution Master 0.001 mm
Temp. difference between uuc and masters 1 0C
Thermal Co-eff expansion for steel 11.5 *10^-6/0C
A B C D E F G < Name of coumn
12 08
13 Parameter DATA size in mm
14 Reading Error*10-3 (Error)2
15 25.000 25.000 -0.4 0.16
16 25.001 0.6 0.36
17 25.000 -0.4 0.16
18 25.001 0.6 0.36
19 25.000 -0.4 0.16
20 AVERAGE 25.000 1.20
21 Range of Measurement 25.000 mm
22 Std. ref. temp. 20 0C
23 Actual Clibrating Temp 22 0C
24 ΔT = Tc - T ref = 2 0C
25 MU of Thermometer 0.58 0C

26 Uncertainity of Instrument 0.00018


9E-05
27 Resolution uuc 0.001
28 Reso. Master 0.001
29 Thermal Co-eff 1.15E-05 µm/m/C
30
31 STDEV 0.0005477226 STDEV(E15:E19)
32
33 Type "A" Ur 0.000244949 E31/SQRT(5) DOF = 4
34 Type "B" Component 0
Std. thermal expansion due to temp
35 measurement ± 0.58 0C
U1 0.0000001 (C21*C25*C29)/1.732 DOF = α
Std. thermal expansion of Master &
36 uuc U2 0.00000010 (C21*C25*C29)/1.732 DOF = α
difference in thermal expansion due to
37 coefficient of Master & uuc U3 0.0000007 (C21*C24*C29*2)*0.001/1.732 DOF = α
38 MU of Stanrd U4 0.0001 C26/1.732
39 LC of uuc U5 0.0003 (C27/2)/SQRT(3) DOF = α
40 LC of Master U6 0.00012 0.2*C28/1.732
41 Combined 0.0004092292
42 ±0.41µm
43 Expanded 0.0008184584 .

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