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Unformatted text preview: (measured g ) = 9.85 ± 0.09328 m/s 2 (measured g ) = 9.85 ± 0.09 m/s 2 Rule #2: the last significant figure in any stated answer should usually be of the same order of magnitude (in the same decimal position) as the uncertainty . L = 1.668 ± 0.3 cm L = 1.7 ± 0.3 cm What should we do with this one? (measured g ) = 9.85387 ± 0.11328 m/s 2 9.9 ± 0.1 m/s 2 ? If the 1 st significant figure in the uncertainty is 1 it is a good idea to keep two figures, Δ g = 0.11 and (measured g ) = 9.85 ± 0.11 m/s 2 Reporting measurements and errors (measured g ) = 9.854 ± 0.002 m/s 2 WRONG CORRECT CORRECT CORRECT WRONG Correct or Incorrect? a) x=8.1±1.4 m c) x=8.14±1.4 m b) x=8.14±1.44 m d) x=3.1±1 m a) y=144±1.3 kg c) y=152±5 kg b) y=184±5.1 kg d) y=843.3±4 kg a) z=32,800±100 s c) z=15,200±5.0 s b) z=16,321±50 s d) z=8,450±130 s Types of Errors Experimental uncertainties that can be revealed by repeating the measurements are called random errors; those that cannot be revealed in this way are called systematic . Systematic Errors Errors of varying magnitude but constant sign, e.g. misalignment of a tape. Random Errors These are all the remaining errors, are of varying sign and magnitude, and do not obey a systematic law. Can be reduced by repeated measurements. Systematic vs. random errors in an ideal world… in the real world…...
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 Spring '11
 shpyrko
 Normal Distribution, Magnetism, Waves And Optics, Observational error

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