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If the real measurement is 25.46 cm. Precision. Low. High. High. Accuracy. Low. Classwork Do p. 29 #43-46. How to read a scale. 1) Identify the difference between numbered divisions and unnumbered subdivisions.
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If the real measurement is 25.46 cm Precision Low High High Accuracy Low
Classwork Do p. 29 #43-46
How to read a scale 1) Identify the difference between numbered divisions and unnumbered subdivisions.
2) Determine to what decimal place the estimated number value could be. For example: if the numbered division difference is 0.1 of a unit and the unnumbered difference is 0.01 of a unit, the estimated value when you look at the scale would be 0.001 of a unit. (0.1 times the unnumbered difference)
Example: What is the values of i and ii on the following scale?
Count the number of unnumbered subdivisions between the numbered divisions: = 10. • Find the value of each unnumbered subdivision: = difference between the number divisions divided by the number of subdivisions: (0.1/10 = 0.01) • i is around 5.92 and ii is around 6.06. • Estimate where i and ii are between their unnumbered subdivisions by dividing the unnumbered subdivisions into 10. • Reading i = is between 5.924 and 5.926. Is about halfway between these two subdivisions, so it is estimated that i is 5.925 +/- 0.001. • Reading ii = is between 6.062 and 6.064. Is closer to 6.06 than 6.07, so I would estimate that ii was 6.063 +/- 0.001.
Experimental Uncertainty • Definition: The experimental uncertainty is the estimated amount by which a measurement might be in error. • The uncertainty goes between the number and the unit. • The uncertainty is the number that was estimated, not a certain number. • Example: 55.25 ± 0.01 cm. • - This means that the actual temperature is between 55.24 cm and 55.26 cm. • - Certain digits are 55.2 and the uncertain digit is 0.05. Note: If the uncertain digit is in the second decimal place, the uncertainty will be in the second decimal place. -The uncertainty in a measurement is 0.1 times the unnumbered subdivisions.
Homework p. 32 – 36 #48, 49, 50, 51, 52,