1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Significant figures Help

  1. Apr 23, 2015 #1
    1. The problem statement, all variables and given/known data
    This is a lab question. I'll summarize with key information.

    Car traveling from Point A to Point B. You record the time and distance.

    "Since the odometer gave the distance within 100 m, you estimated the uncertainty in d to be (Δd = ±0.1 km). Regarding the time, even though you did your best to take the meter reading at equal time intervals of 10 minutes, you still estimated a timing error of about 12 seconds (or Δtm = ±0.2 min)."

    Here is the table they give you and we have to fill in the time in hours
    KCJfOZO.png

    2. Relevant equations
    1min = 1/60 hrs

    3. The attempt at a solution
    At first, I look at the 12 seconds as 2 sig figs so my Δth should also be 2 sig figs... thus Δth = ±3.3E-3 hrs

    I'm confused about the data they've given. 10.0 is 3 sig figs and 170.0 is 4 sig figs. So would my
    10.0 ± 0.2 min become 1.67E-1 ± 3.3E-3 hrs
    170.0 ±0.2 min become 2.833 ± 3.3E-3 hrs
     
  2. jcsd
  3. Apr 23, 2015 #2

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Since you are quoting error ranges for the data, it is not a sin to have more digits than can strictly be justified. (It matters more when error ranges are not stated because in that case the reader infers the error range from the significant digits shown.)
    But I do think it is wrong to have the error margin and the median terminating at different decimal positions. If you are going to quote the error range down to thousandths of an hour then you should do the same for median values.
     
  4. Apr 23, 2015 #3
    The lab deals with uncertainty and significant figures so I can't have more than I need because I'll lose points. Based on the information given, what do you guys think should my 10.0 min and 170.0 min be converted to?
     
  5. Apr 23, 2015 #4

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Then I fear you are dealing with the opinions of your teacher more than with any real logic. I can't comment further without knowing exactly what you have been taught.
    However, I do stand by my second observation, that the last digit should be at the same decimal place in median and error.
    Edit: one more thought... arguably, you should always round the error range up, so 1/3 becomes 0.34, say, not 0.33.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Significant figures Help
Loading...