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IB - Physics - 1.2. Measurement and uncertainties

Class
by

Jonathan Bertin

on 24 June 2014

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Transcript of IB - Physics - 1.2. Measurement and uncertainties

1.2 Measurement and Uncertainties
The SI System
Uncertainty in measurement
Uncertainty in calculated results
Uncertainty in graphs
The SI System
S.I.
Fundamental units
Derived units
Accepted Format
S.I.
Système International
Fundamental units
Seven base units:
Derived units
They derive from the fundamental units
Uncertainty in
measurement
Precision and accuracy
Systematic and random errors
Error values
Significant figures
Precision and accuracy
Accurate
Precise
P
erfect
R
epetition
A
round the
C
enter
Systematic and Random errors
Systematic
Random
System or apparatus
Natural variation
Reduced by repetition
Error values
Half the smallest division
Ruler
Digital
The smallest division
Significant figures
The smallest division
Ruler
Digital
The smallest division
Uncertainty in
calculated results
Significant figures
Error propagation
Significant figures
2
2.1
21
210
0.210
0.0021
3.04
304
3040000
0.304
0.00304000
Significant figures
In Multiplication or division
As many significant figures as those of the
number with the least significant digits
24 x 328 = "7872" = 7800
2.4 x 32.8 = "78.72" = 78
Error propagation
In Multiplication or division
Add percentage uncertainties
240.2
+/- 0.1
x 3.28
+/- 0.02
= 787
Decimal places
In Adding or subtracting
As many decimal places as those of the
number with the least decimal places
123 x 5.35 = "128.35" = 128
Error propagation
In adding or subtracting
Add absolute uncertainties
Uncertainty in
graphs
Axis with units
Draw points
Draw error bars
Draw best fit line
Proportional
Error propagation
Square root
Divide uncertainty by 2
Derived units
Accepted Format
m/s
m s
m/s
m s
2
-2
-1
0,04%
0.6%
0.64%
+/- 5
240.2
+/- 0.1
+ 3.28
+/- 0.02
= 243.48
0,1
0.02
0.12
+/- 0.12
Full transcript