Title: Uncertainty Lab Notes
1 6 Uncertainty Lab Notes
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3Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40
v
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5Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v 1.37
v
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7Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v 1.37
v 1.35 v
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9Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v 1.37
v 1.35 v 1.32 v
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11Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v 1.37
v 1.35 v 1.32 v 1.39 v
12Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v 1.37
v 1.35 v 1.32 v 1.39 v
13Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v
Let us look for the uncertain digit 1.37
v 1.35 v 1.32 v 1.39 v
14Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v
Let us look for the uncertain digit 1.37
v 1.35 v The first one to have
significant variation 1.32 v 1.39 v
15Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v
Let us look for the uncertain digit 1.37
v 1.35 v The first one to have
significant variation 1.32 v 1.39 v
16Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v
Let us look for the uncertain digit 1.37
v 1.35 v The first one to have
significant variation 1.32 v 1.39 v No
uncertainty or variation!
17Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v
Let us look for the uncertain digit 1.37
v 1.35 v The first one to have
significant variation 1.32 v 1.39 v
18Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v
Let us look for the uncertain digit 1.37
v 1.35 v The first one to have
significant variation 1.32 v 1.39 v This
digit is either a 3 or a 4 after rounding
19Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v
Let us look for the uncertain digit 1.37
v 1.35 v The first one to have
significant variation 1.32 v 1.39 v This
digit is either a 3 or a 4 To be the uncertain
digit it must be 3 or more different
digits
20Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40 v
Let us look for the uncertain digit 1.37
v 1.35 v The first one to have
significant variation 1.32 v 1.39 v This
digit is either a 0,7,5,2,9 after rounding This
is the uncertain digit You must always round to
the uncertain digit Average and round to the
uncertain digit
21Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40
v 1.37 v 1.35 v 1.32 v 1.39
v 1.366 average
22Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40
v 1.37 v 1.35 v 1.32 v 1.39
v 1.366 Round to the second
decimal average
23Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40
v 1.37 v 1.35 v 1.32 v 1.39 v 1.37
Find the number furthest away from the
average
24Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40
v 1.37 v 1.35 v 1.32 v - 1.37
-0.05 1.39 v 1.37
Determine the difference
25Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40
v 1.37 v 1.35 v 1.32 v 1.39
v 1.37 ? 0.05 v Make this the
uncertainty
26Exploring and Dealing with Uncertainty 1.
Measure the voltage of a single battery with
five different analog voltmeters. 1.40
v 1.37 v 1.35 v 1.32 v 1.37 ? 0.05
v 1.39 v average uncertainty
unit
27Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters.
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29Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v
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31Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v
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33Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v 1.366 v
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35Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v 1.366 v 1.359 v
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37Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v 1.366 v 1.359 v 1.368 v
38Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v 1.366 v 1.359 v 1.368 v no
uncertainty
39Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v 1.366 v 1.359 v 1.368 v no
uncertainty
40Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v 1.366 v 1.359 v 1.368 v
uncertainty starts here- uncertain digit
41Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v 1.366 v 1.359 v 1.368 v
uncertainty starts here- uncertain digit
42Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v 1.366 v 1.359 v 1.368 v
1.3714
43Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v 1.366 v 1.359 v 1.368 v
1.3714
44Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v 1.366 v 1.359 v 1.368 v
1.37
45Exploring and Dealing with Uncertainty 2.
Measure the voltage of a single battery with
five different digital voltmeters. 1.389
v 1.375 v 1.366 v 1.359 v 1.368 v 1.37 ?
0.02 v must be the same decimal place!
46Determine the average and uncertainty 3. 35.47
g 35.35 g 35.27 g 35.36 g 37.30 g
47Determine the average and uncertainty 3. 35.47
g 35.35 g 35.27 g 35.36 g 37.30 g reject- way
off
48Determine the average and uncertainty 3. 35.47
g 35.35 g 35.27 g 35.36 g 37.30 g reject- way
off 35.4 ? 0.1 g
49Determine the average and uncertainty 3. 35.47
g 35.35 g 35.27 g 35.36 g 37.30 g reject- way
off 35.4 ? 0.1 g average uncertainty unit
50Determine the average and uncertainty 4. 105.335
mm 105.334 mm 105.333 mm 105.334 mm 105.336 mm
51Determine the average and uncertainty 4. 105.335
mm 105.334 mm 105.333 mm 105.334 mm 105.336
mm uncertain digit
52Determine the average and uncertainty 4. 105.335
mm 105.334 mm 105.333 mm 105.334 mm 105.336
mm 105.334 ? 0.002 mm
53Determine the average and uncertainty 5. 1.263
cm 1.262 cm 1.261 cm 1.273 cm 1.262 cm
54Determine the average and uncertainty 5. 1.263
cm 1.262 cm 1.261 cm 1.273 cm 1.262
cm 1.262 ? 0.001 cm
55Determine the average and uncertainty 6. 1. 5 6
3 cm 1. 5 5 9 cm 1. 5 6 2 cm 1. 5 5 5
cm 1.561 cm
56Determine the average and uncertainty 6. 1. 5 6
3 cm 1. 5 5 9 cm 1. 5 6 2 cm 1. 5 5 5 cm 1. 5
6 1 cm
Average
Round to the third decimal place
Find the furthest away
Add uncertainty and a unit
1.560 0.005 cm
57Exploring and Dealing with Uncertainty Whats
Wrong? 1.37 ? 0.002 v not same decimal
place! 1.37 ? 0.002 not same
decimal place! 1.37 v ? 0.002 v 2
units Demonstration of a catalyst
58Reading A Burette
A Lesson
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