Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute...
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Transcript of Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute...
![Page 1: Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute error in y Δa = the absolute error in a Δb = the absolute.](https://reader035.fdocuments.us/reader035/viewer/2022062409/5697c0041a28abf838cc4909/html5/thumbnails/1.jpg)
Measurement Errors
![Page 2: Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute error in y Δa = the absolute error in a Δb = the absolute.](https://reader035.fdocuments.us/reader035/viewer/2022062409/5697c0041a28abf838cc4909/html5/thumbnails/2.jpg)
Digital scale
![Page 3: Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute error in y Δa = the absolute error in a Δb = the absolute.](https://reader035.fdocuments.us/reader035/viewer/2022062409/5697c0041a28abf838cc4909/html5/thumbnails/3.jpg)
Addition and Subtraction Measurement Errors
baythen
bayif
Δy = the absolute error in y
Δa = the absolute error in a
Δb = the absolute error in b
?
1.07.8
1.02.5
ba
cmcmb
cmcmaExample:
cmcmba 2.09.137.82.5
![Page 4: Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute error in y Δa = the absolute error in a Δb = the absolute.](https://reader035.fdocuments.us/reader035/viewer/2022062409/5697c0041a28abf838cc4909/html5/thumbnails/4.jpg)
Multiplication and Division Measurement Errors
c
c
b
b
a
a
y
ythen
c
abyif
cin error relative
bin error relative
ain error relative
yin error relative
c
cb
ba
a
y
y
![Page 5: Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute error in y Δa = the absolute error in a Δb = the absolute.](https://reader035.fdocuments.us/reader035/viewer/2022062409/5697c0041a28abf838cc4909/html5/thumbnails/5.jpg)
??
05.024.4
1.07.8
1.02.5
c
ab
ggc
cmcmb
cmcmaExample:
![Page 6: Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute error in y Δa = the absolute error in a Δb = the absolute.](https://reader035.fdocuments.us/reader035/viewer/2022062409/5697c0041a28abf838cc4909/html5/thumbnails/6.jpg)
Practice Problem: Calculate the surface area of the following rectangular prism.
8.4cm ±.1cm
4.5cm ±.1cm
3.2cm ±.1cm
![Page 7: Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute error in y Δa = the absolute error in a Δb = the absolute.](https://reader035.fdocuments.us/reader035/viewer/2022062409/5697c0041a28abf838cc4909/html5/thumbnails/7.jpg)
Order of Magnitude – The power of ten closest to a given number.
Range of Magnitudes of the Universe
http://micro.magnet.fsu.edu/primer/java/scienceopticsu/powersof10/
![Page 8: Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute error in y Δa = the absolute error in a Δb = the absolute.](https://reader035.fdocuments.us/reader035/viewer/2022062409/5697c0041a28abf838cc4909/html5/thumbnails/8.jpg)
Examples:
7.0
2.0
10000
3.16
9.11 x 10-31
365
4.24 x 10-13
4,200,000
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Estimate the number of heartbeats in an average human lifetime.
![Page 10: Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute error in y Δa = the absolute error in a Δb = the absolute.](https://reader035.fdocuments.us/reader035/viewer/2022062409/5697c0041a28abf838cc4909/html5/thumbnails/10.jpg)
Estimate the volume of our body in cm3.
The mass of your backpack that contains your school materials in grams.
![Page 11: Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute error in y Δa = the absolute error in a Δb = the absolute.](https://reader035.fdocuments.us/reader035/viewer/2022062409/5697c0041a28abf838cc4909/html5/thumbnails/11.jpg)
Fundamental of the International System (IS):
Quantity SI Unit SI Symbol
length meter m
mass kilogram kg
time second s
Electric current Ampere A
temperature Kelvin K
Matter mole mol
Luminous intensity candela cd
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Random and Systematic Errors
Systematic errors push the results in the same direction. They are a system or instrument error.
Examples:A scale that has not been zeroed.A clock that runs slow or fast.Parallax error
Systematic errors present graphically as an unexpected vertical intercept or a slope which is significant different from the expected value.
![Page 13: Measurement Errors. Digital scale Addition and Subtraction Measurement Errors Δy = the absolute error in y Δa = the absolute error in a Δb = the absolute.](https://reader035.fdocuments.us/reader035/viewer/2022062409/5697c0041a28abf838cc4909/html5/thumbnails/13.jpg)
Random errors are scattered about the accepted values due to variations in the performance of the instrument and operator .
Examples:Reading errorsTemperature variationsTiming errors
Random errors present graphically as scattering of data about the expected graph.
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Precision and accuracy