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

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

View Full Document Right Arrow Icon
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
Image of page 11

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

View Full Document Right Arrow Icon
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
Image of page 12
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.
Image of page 13

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

View Full Document Right Arrow Icon
Systematic vs. random errors in an ideal world… in the real world…
Image of page 14
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.
Image of page 15

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

View Full Document Right Arrow Icon
Random Errors: Reduction in noise
Image of page 16
Image of page 17
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern