Measurement. Measurements science is based on measurements all measurements have: – magnitude –...
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Transcript of Measurement. Measurements science is based on measurements all measurements have: – magnitude –...
![Page 1: Measurement. Measurements science is based on measurements all measurements have: – magnitude – uncertainty – units Numbers mathematics is based on numbers.](https://reader036.fdocuments.net/reader036/viewer/2022082610/56649d055503460f949d93cd/html5/thumbnails/1.jpg)
Measurement
![Page 2: Measurement. Measurements science is based on measurements all measurements have: – magnitude – uncertainty – units Numbers mathematics is based on numbers.](https://reader036.fdocuments.net/reader036/viewer/2022082610/56649d055503460f949d93cd/html5/thumbnails/2.jpg)
Measurements• science is based on
measurements• all measurements have:– magnitude– uncertainty– units
Numbers• mathematics is based
on numbers• exact numbers are
obtained by :– counting– definition
![Page 3: Measurement. Measurements science is based on measurements all measurements have: – magnitude – uncertainty – units Numbers mathematics is based on numbers.](https://reader036.fdocuments.net/reader036/viewer/2022082610/56649d055503460f949d93cd/html5/thumbnails/3.jpg)
Measurements
• Measurements are not numbers– Numbers are obtained by counting or by
definition; measurements are obtained by comparing an object with a standard “unit”
– When you say that a table is 2 meters long, you are really saying that the table is two times longer than an object that is 1 meter long
![Page 4: Measurement. Measurements science is based on measurements all measurements have: – magnitude – uncertainty – units Numbers mathematics is based on numbers.](https://reader036.fdocuments.net/reader036/viewer/2022082610/56649d055503460f949d93cd/html5/thumbnails/4.jpg)
Measurements
• Numbers are exact; measurements are inexact• Mathematics is based on numbers; science is
based on measurement
![Page 5: Measurement. Measurements science is based on measurements all measurements have: – magnitude – uncertainty – units Numbers mathematics is based on numbers.](https://reader036.fdocuments.net/reader036/viewer/2022082610/56649d055503460f949d93cd/html5/thumbnails/5.jpg)
Uncertainty in Measurement
• Comparison with a unit or a scale of units always involves some uncertainty
• Estimate between the smallest scale divisions• The digit between the lines is always uncertain
(estimated)
![Page 6: Measurement. Measurements science is based on measurements all measurements have: – magnitude – uncertainty – units Numbers mathematics is based on numbers.](https://reader036.fdocuments.net/reader036/viewer/2022082610/56649d055503460f949d93cd/html5/thumbnails/6.jpg)
Uncertainty in Measuring Devices
• There is a limit to the precision of a measurement
• The scientist making the measurement must decide the uncertainty value for a particular measuring device.
• See “Scale Reading, Uncertainty and Significant Figures”
![Page 7: Measurement. Measurements science is based on measurements all measurements have: – magnitude – uncertainty – units Numbers mathematics is based on numbers.](https://reader036.fdocuments.net/reader036/viewer/2022082610/56649d055503460f949d93cd/html5/thumbnails/7.jpg)
Significant figures
• Significant figures are the digits in a measurement known with certainty plus one digit that is uncertain (estimated)