2.
Part ISI system of fundamental and derived units
3.
1.2 Measurement and UncertaintiesThe SI system of fundamental and derived units
4.
1.2 Measurement and UncertaintiesThe SI system of fundamental and derived units• State the fundamental units in the SI system
5.
1.2 Measurement and UncertaintiesThe SI system of fundamental and derived units• State the fundamental units in the SI system• Distinguish between fundamental and derived units and give examples of derived units
6.
1.2 Measurement and UncertaintiesThe SI system of fundamental and derived units• State the fundamental units in the SI system• Distinguish between fundamental and derived units and give examples of derived units• Convert between different units of quantities
7.
1.2 Measurement and UncertaintiesThe SI system of fundamental and derived units• State the fundamental units in the SI system• Distinguish between fundamental and derived units and give examples of derived units• Convert between different units of quantities• State units in the accepted SI format
8.
1.2 Measurement and UncertaintiesThe SI system of fundamental and derived units• State the fundamental units in the SI system• Distinguish between fundamental and derived units and give examples of derived units• Convert between different units of quantities• State units in the accepted SI format• State values in scientiﬁc notation and in multiples of units with appropriate preﬁxes
9.
1.2 Measurement and UncertaintiesThe SI system of fundamental and derived units• State the fundamental units in the SI system• Distinguish between fundamental and derived units and give examples of derived units• Convert between different units of quantities• State units in the accepted SI format• State values in scientiﬁc notation and in multiples of units with appropriate preﬁxes
10.
1.2 Measurement and Uncertainties• State the fundamental units in the SI system
11.
1.2 Measurement and Uncertainties • State the fundamental units in the SI system Quantity SI unit Symbol Mass kilogram kg Length meter m Time seconds s Electric Current ampere AAmount of substance mole mol Temperature kelvin K
12.
1.2 Measurement and Uncertainties • State the fundamental units in the SI system Quantity SI unit Symbol Mass kilogram kg Length meter m Time seconds s Electric Current ampere AAmount of substance mole mol Temperature kelvin K
13.
1.2 Measurement and Uncertainties • State the fundamental units in the SI system Quantity SI unit Symbol Mass kilogram kg Length meter m Time seconds s Electric Current ampere AAmount of substance mole mol Temperature kelvin K
14.
1.2 Measurement and Uncertainties • State the fundamental units in the SI system Quantity SI unit Symbol Mass kilogram kg Length meter m Time seconds s Electric Current ampere AAmount of substance mole mol Temperature kelvin K
15.
1.2 Measurement and Uncertainties • State the fundamental units in the SI system Quantity SI unit Symbol Mass kilogram kg Length meter m Time seconds s Electric Current ampere AAmount of substance mole mol Temperature kelvin K
16.
1.2 Measurement and Uncertainties • State the fundamental units in the SI system Quantity SI unit Symbol Mass kilogram kg Length meter m Time seconds s Electric Current ampere AAmount of substance mole mol Temperature kelvin K
17.
1.2 Measurement and Uncertainties • State the fundamental units in the SI system Quantity SI unit Symbol Mass kilogram kg Length meter m Time seconds s Electric Current ampere AAmount of substance mole mol Temperature kelvin K
18.
1.2 Measurement and UncertaintiesThe SI system of fundamental and derived units• State the fundamental units in the SI system• Distinguish between fundamental and derived units and give examples of derived units• Convert between different units of quantities• State units in the accepted SI format• State values in scientiﬁc notation and in multiples of units with appropriate preﬁxes
19.
1.2 Measurement and Uncertainties• Distinguish between fundamental and derived units and give examples of derived units
20.
1.2 Measurement and Uncertainties• Distinguish between fundamental and derived units and give examples of derived units
21.
1.2 Measurement and Uncertainties • Distinguish between fundamental and derived units and give examples of derived unitsAll other SI units used in this course are derived units. They are based on fundamental units.
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1.2 Measurement and Uncertainties• Distinguish between fundamental and derived units and give examples of derived units
23.
1.2 Measurement and Uncertainties• Distinguish between fundamental and derived units and give examples of derived units Quantity Symbol Base units Volume m3 mxmxm Speed ms−1 m/s Force N kg x m/s2
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1.2 Measurement and Uncertainties• Distinguish between fundamental and derived units and give examples of derived units Quantity Symbol Base units Volume m3 mxmxm Speed ms−1 m/s Force N kg x m/s2
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1.2 Measurement and Uncertainties• Distinguish between fundamental and derived units and give examples of derived units Quantity Symbol Base units Volume m3 mxmxm Speed ms−1 m/s Force N kg x m/s2
26.
1.2 Measurement and Uncertainties• Distinguish between fundamental and derived units and give examples of derived units Quantity Symbol Base units Volume m3 mxmxm Speed ms−1 m/s Force N kg x m/s2
27.
1.2 Measurement and UncertaintiesThe SI system of fundamental and derived units• State the fundamental units in the SI system• Distinguish between fundamental and derived units and give examples of derived units• Convert between different units of quantities• State units in the accepted SI format• State values in scientiﬁc notation and in multiples of units with appropriate preﬁxes
28.
1.2 Measurement and Uncertainties• Convert between different units of quantities
29.
1.2 Measurement and Uncertainties• Convert between different units of quantities
30.
1.2 Measurement and Uncertainties• Convert between different units of quantities1 kWh = 103 Wh = 103 Js−1 x 3600s = 3.6 x 106 J
31.
1.2 Measurement and Uncertainties• Convert between different units of quantities1 kWh = 103 Wh = 103 Js−1 x 3600s = 3.6 x 106 J 1 kWh = 3.6 x 106 J
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1.2 Measurement and Uncertainties• Convert between different units of quantities1 kWh = 103 Wh = 103 Js−1 x 3600s = 3.6 x 106 J 1 kWh = 3.6 x 106 J 1eV = 1.6 x 10−19 C x JC−1 = 1.6 x 10−19 J
33.
1.2 Measurement and Uncertainties• Convert between different units of quantities1 kWh = 103 Wh = 103 Js−1 x 3600s = 3.6 x 106 J 1 kWh = 3.6 x 106 J 1eV = 1.6 x 10−19 C x JC−1 = 1.6 x 10−19 J 1 eV = 1.6 x 10−19 J
34.
1.2 Measurement and Uncertainties• Convert between different units of quantities1 kWh = 103 Wh = 103 Js−1 x 3600s = 3.6 x 106 J 1 kWh = 3.6 x 106 J 1eV = 1.6 x 10−19 C x JC−1 = 1.6 x 10−19 J 1 eV = 1.6 x 10−19 J
35.
1.2 Measurement and Uncertainties• Convert between different units of quantities1 kWh = 103 Wh = 103 Js−1 x 3600s = 3.6 x 106 J 1 kWh = 3.6 x 106 J 1eV = 1.6 x 10−19 C x JC−1 = 1.6 x 10−19 J 1 eV = 1.6 x 10−19 J
36.
1.2 Measurement and UncertaintiesThe SI system of fundamental and derived units• State the fundamental units in the SI system• Distinguish between fundamental and derived units and give examples of derived units• Convert between different units of quantities• State units in the accepted SI format• State values in scientiﬁc notation and in multiples of units with appropriate preﬁxes
37.
1.2 Measurement and Uncertainties• State units in the accepted SI format
38.
1.2 Measurement and Uncertainties• State units in the accepted SI format
39.
1.2 Measurement and Uncertainties• State units in the accepted SI format m/s ms−1 m/s2 ms−2
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1.2 Measurement and Uncertainties• State units in the accepted SI format m/s ms−1 m/s2 ms−2
41.
1.2 Measurement and Uncertainties• State units in the accepted SI format m/s ms−1 m/s2 ms−2• State values in scientiﬁc notation and in multiples of units with appropriate preﬁxes
42.
1.2 Measurement and Uncertainties• State units in the accepted SI format m/s ms−1 m/s2 ms−2• State values in scientiﬁc notation and in multiples of units with appropriate preﬁxes
43.
1.2 Measurement and Uncertainties• State units in the accepted SI format m/s ms−1 m/s2 ms−2• State values in scientiﬁc notation and in multiples of units with appropriate preﬁxesSpeed of Light = 300000000 ms−1 = 3.0 x 108 ms−1
44.
1.2 Measurement and Uncertainties• State units in the accepted SI format m/s ms−1 m/s2 ms−2• State values in scientiﬁc notation and in multiples of units with appropriate preﬁxesSpeed of Light = 300000000 ms−1 = 3.0 x 108 ms−1Wavelegth of blue light = 4.5 x 10−7 m = 450 nm
46.
1.2 Measurement and UncertaintiesUncertainty and error in measurement
47.
1.2 Measurement and UncertaintiesUncertainty and error in measurement• Describe and give examples of random and systematic errors
48.
1.2 Measurement and UncertaintiesUncertainty and error in measurement• Describe and give examples of random and systematic errors• Distinguish between precision and accuracy
49.
1.2 Measurement and UncertaintiesUncertainty and error in measurement• Describe and give examples of random and systematic errors• Distinguish between precision and accuracy• Explain how the effects of random errors may be reduced
50.
1.2 Measurement and UncertaintiesUncertainty and error in measurement• Describe and give examples of random and systematic errors• Distinguish between precision and accuracy• Explain how the effects of random errors may be reduced• Calculate quantities and results of calculations to the appropriate number of signiﬁcant ﬁgures
51.
1.2 Measurement and UncertaintiesUncertainty and error in measurement• Describe and give examples of random and systematic errors• Distinguish between precision and accuracy• Explain how the effects of random errors may be reduced• Calculate quantities and results of calculations to the appropriate number of signiﬁcant ﬁgures
52.
1.2 Measurement and Uncertainties• Describe and give examples of random and systematic errors
53.
1.2 Measurement and Uncertainties• Describe and give examples of random and systematic errors
54.
1.2 Measurement and Uncertainties • Describe and give examples of random and systematic errors Random Error Systematic Error It is a random error if you get lots of It is a systematic error if there isslightly different readings when making a something wrong with equipment of measurement method when taking a measurementYou can reduce the error by repeating the Error can not be reduced by repeating measurement the measurement Not easy to spot right away but it may It is easy to spot random error when become evident when a linear graph that collecting data by the variance of the should cross the origin has a relevant readings y-intercept
55.
1.2 Measurement and Uncertainties • Describe and give examples of random and systematic errors Random Error Systematic Error It is a random error if you get lots of It is a systematic error if there isslightly different readings when making a something wrong with equipment of measurement method when taking a measurementYou can reduce the error by repeating the Error can not be reduced by repeating measurement the measurement Not easy to spot right away but it may It is easy to spot random error when become evident when a linear graph that collecting data by the variance of the should cross the origin has a relevant readings y-intercept
56.
1.2 Measurement and Uncertainties • Describe and give examples of random and systematic errors Random Error Systematic Error It is a random error if you get lots of It is a systematic error if there isslightly different readings when making a something wrong with equipment of measurement method when taking a measurementYou can reduce the error by repeating the Error can not be reduced by repeating measurement the measurement Not easy to spot right away but it may It is easy to spot random error when become evident when a linear graph that collecting data by the variance of the should cross the origin has a relevant readings y-intercept
57.
1.2 Measurement and Uncertainties • Describe and give examples of random and systematic errors Random Error Systematic Error It is a random error if you get lots of It is a systematic error if there isslightly different readings when making a something wrong with equipment of measurement method when taking a measurementYou can reduce the error by repeating the Error can not be reduced by repeating measurement the measurement Not easy to spot right away but it may It is easy to spot random error when become evident when a linear graph that collecting data by the variance of the should cross the origin has a relevant readings y-intercept
58.
1.2 Measurement and UncertaintiesUncertainty and error in measurement• Describe and give examples of random and systematic errors• Distinguish between precision and accuracy• Explain how the effects of random errors may be reduced• Calculate quantities and results of calculations to the appropriate number of signiﬁcant ﬁgures
59.
1.2 Measurement and Uncertainties• Distinguish between precision and accuracy
60.
1.2 Measurement and Uncertainties• Distinguish between precision and accuracy
61.
1.2 Measurement and Uncertainties • Distinguish between precision and accuracy An accurate experiment is one that has small systematicerror, whereas a precise experiment is one that has a small random error
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1.2 Measurement and Uncertainties • Distinguish between precision and accuracy An accurate experiment is one that has small systematicerror, whereas a precise experiment is one that has a small random errorAn experiment may have great precision but be inaccurate
63.
1.2 Measurement and UncertaintiesUncertainty and error in measurement• Describe and give examples of random and systematic errors• Distinguish between precision and accuracy• Explain how the effects of random errors may be reduced• Calculate quantities and results of calculations to the appropriate number of signiﬁcant ﬁgures
64.
1.2 Measurement and Uncertainties• Explain how the effects of random errors may be reduced
65.
1.2 Measurement and Uncertainties• Explain how the effects of random errors may be reduced
66.
1.2 Measurement and Uncertainties • Explain how the effects of random errors may be reducedRandom error can be reduced by taking repeated reading of a measurement. Systematic error can not be reduced this way
67.
1.2 Measurement and UncertaintiesUncertainty and error in measurement• Describe and give examples of random and systematic errors• Distinguish between precision and accuracy• Explain how the effects of random errors may be reduced• Calculate quantities and results of calculations to the appropriate number of signiﬁcant ﬁgures
68.
1.2 Measurement and Uncertainties• Calculate quantities and results of calculations to the appropriate number of signiﬁcant ﬁgures
69.
1.2 Measurement and Uncertainties• Calculate quantities and results of calculations to the appropriate number of signiﬁcant ﬁgures
70.
1.2 Measurement and Uncertainties • Calculate quantities and results of calculations to the appropriate number of signiﬁcant ﬁguresThe number of signiﬁcant ﬁgures should reﬂect the precisionof the value of the input data. The number of signiﬁcant digits in a result should not exceed that of the least precise value upon which it depends.
71.
1.2 Measurement and Uncertainties • Calculate quantities and results of calculations to the appropriate number of signiﬁcant ﬁguresThe number of signiﬁcant ﬁgures should reﬂect the precisionof the value of the input data. The number of signiﬁcant digits in a result should not exceed that of the least precise value upon which it depends. e.g. 9.8 x 13.45 = 131.81 but the answer should be expressed in 2 signiﬁcant ﬁgures: 1.3 x 102
73.
1.2 Measurement and UncertaintiesUncertainty in calculated results
74.
1.2 Measurement and UncertaintiesUncertainty in calculated results• State uncertainties as absolute, fractional and percentage uncertainties.
75.
1.2 Measurement and UncertaintiesUncertainty in calculated results• State uncertainties as absolute, fractional and percentage uncertainties.• Determine the uncertainties in results.
76.
1.2 Measurement and UncertaintiesUncertainty in calculated results• State uncertainties as absolute, fractional and percentage uncertainties.• Determine the uncertainties in results.
77.
1.2 Measurement and Uncertainties• State uncertainties as absolute, fractional and percentage uncertainties.
78.
1.2 Measurement and Uncertainties• State uncertainties as absolute, fractional and percentage uncertainties.
79.
1.2 Measurement and Uncertainties• State uncertainties as absolute, fractional and percentage uncertainties. Absolute Uncertainty Room temperature = 22.5ºC ± 0.5
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1.2 Measurement and Uncertainties• State uncertainties as absolute, fractional and percentage uncertainties. Absolute Uncertainty Room temperature = 22.5ºC ± 0.5 Percent Uncertainty Room temperature = 22.5ºC ± 2.2%
81.
1.2 Measurement and UncertaintiesUncertainty in calculated results• State uncertainties as absolute, fractional and percentage uncertainties.• Determine the uncertainties in results.
82.
1.2 Measurement and Uncertainties• Determine the uncertainties in results.
83.
1.2 Measurement and Uncertainties• Determine the uncertainties in results.
84.
1.2 Measurement and Uncertainties • Determine the uncertainties in results.For addition and subtraction, absolute uncertainties maybe added.
85.
1.2 Measurement and Uncertainties • Determine the uncertainties in results.For addition and subtraction, absolute uncertainties maybe added.For multiplication, division and powers, percentageuncertainties may be added.
86.
1.2 Measurement and Uncertainties • Determine the uncertainties in results.For addition and subtraction, absolute uncertainties maybe added.For multiplication, division and powers, percentageuncertainties may be added.For other functions (trigonometric, logarithmic), themean highest and lowest possible answers may becalculated to obtain the uncertainty range.
88.
1.2 Measurement and UncertaintiesUncertainty in graphs
89.
1.2 Measurement and UncertaintiesUncertainty in graphs• Identify uncertainties as error bars in graphs.
90.
1.2 Measurement and UncertaintiesUncertainty in graphs• Identify uncertainties as error bars in graphs.• State random uncertainty as an uncertainty range (±) and represent it graphically as an “error bar”
91.
1.2 Measurement and UncertaintiesUncertainty in graphs• Identify uncertainties as error bars in graphs.• State random uncertainty as an uncertainty range (±) and represent it graphically as an “error bar”• Determine the uncertainties in the gradient and intercepts of a straight line graph.
92.
1.2 Measurement and UncertaintiesUncertainty in graphs• Identify uncertainties as error bars in graphs.• State random uncertainty as an uncertainty range (±) and represent it graphically as an “error bar”• Determine the uncertainties in the gradient and intercepts of a straight line graph.
93.
1.2 Measurement and Uncertainties• Identify uncertainties as error bars in graphs.
94.
1.2 Measurement and Uncertainties• Identify uncertainties as error bars in graphs.
95.
1.2 Measurement and Uncertainties • Identify uncertainties as error bars in graphs.Where relevant, uncertainties should be identiﬁed as errorbars in plotted quantities. No error bars are expected for trigonometric or logarithmic functions.
96.
1.2 Measurement and Uncertainties • Identify uncertainties as error bars in graphs.Where relevant, uncertainties should be identiﬁed as errorbars in plotted quantities. No error bars are expected for trigonometric or logarithmic functions.
97.
1.2 Measurement and UncertaintiesUncertainty in graphs• Identify uncertainties as error bars in graphs.• State random uncertainty as an uncertainty range (±) and represent it graphically as an “error bar”• Determine the uncertainties in the gradient and intercepts of a straight line graph.
98.
1.2 Measurement and UncertaintiesUncertainty in graphs• Identify uncertainties as error bars in graphs.• State random uncertainty as an uncertainty range (±) and represent it graphically as an “error bar”• Determine the uncertainties in the gradient and intercepts of a straight line graph.
99.
1.2 Measurement and Uncertainties• Determine the uncertainties in the gradient and intercepts of a straight line graph.
100.
1.2 Measurement and Uncertainties• Determine the uncertainties in the gradient and intercepts of a straight line graph.
101.
1.2 Measurement and Uncertainties• Determine the uncertainties in the gradient and intercepts of a straight line graph. y x
102.
1.2 Measurement and Uncertainties • Determine the uncertainties in the gradient and intercepts of a straight line graph. yBest Fit x
103.
1.2 Measurement and Uncertainties • Determine the uncertainties in the gradient and intercepts of a straight line graph. yBest FitMax Gradient x
104.
1.2 Measurement and Uncertainties • Determine the uncertainties in the gradient and intercepts of a straight line graph. yBest FitMax GradientMin Gradient x