# L 1668 03 cm l 17 03 cm what should we do with this

• Notes
• 24

This preview shows pages 11–17. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

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.

This preview has intentionally blurred sections. Sign up to view the full version.

Systematic vs. random errors in an ideal world… in the real world…
Treatment of Errors Systematic Errors are of fixed sign. They are therefore particularly troublesome – their effect cannot be reduced by repetition of observations. Random Errors are of varying sign. Their effect is therefore reduced by taking the mean of repeated observations. No matter how large they are in each observation, the mean can be made more precise by taking more observations.

This preview has intentionally blurred sections. Sign up to view the full version.

Random Errors: Reduction in noise
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern