Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Accuracy and differentiation

  1. Jul 2, 2012 #1
    To get the value of g, the period(T), length of pendulum (l) and radius of pendulum bob (a) were measured.
    Well, my question is actually to find which accuracy of one of these measurements need to be improved?
    The formulae given to find the probable error are
    ε _gT = (partial differentiation of g in respect to T) X ε _T

    ε _gl = (partial differentiation of g in respect to l) X ε _l

    ε_ga = (partial differentiation of g in respect to a) X ε _a

    After calculating, the values were:
    ε _gT = 1.1 X 10^-3
    ε _gl = 3.5 X 10^-4
    ε _ga = 6.9 X 10^-5

    Since the ε _gT has the biggest derivative, I think T's accuracy is the one that needs the most improvement. Am I right or wrong?
     
  2. jcsd
  3. Jul 2, 2012 #2

    D H

    User Avatar
    Staff Emeritus
    Science Advisor

    You're right. However, your value of l is also pretty noisy. Improve your measurements of T by an order of magnitude and now it is your l value that will be the primary culprit.
     
  4. Jul 2, 2012 #3
    What do you mean by this?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Accuracy and differentiation
  1. Differentiate this (Replies: 2)

  2. The differential of (Replies: 2)

  3. Digits of Accuracy (Replies: 1)

  4. Differentiable (Replies: 2)

Loading...