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!

Homework Help: Finding the error on Frequency

  1. Nov 19, 2012 #1
    I'm being asked to calculate the error on a beat frequency. The beat frequency was found to be 1/20.0s

    The equation given is

    The thing is im not really sure where to go from there or how to get the derivative of that, any help or pointing me in the right direction would be much appreciated.
  2. jcsd
  3. Nov 19, 2012 #2


    User Avatar
    Homework Helper

    Welcome to PF, Belgin.

    You can only use that formula if you have the formula for f as a function of T and the error in T. It actually doesn't look like the right formula to me.

    The beat frequency is the difference between two frequencies. Say you have two tones at 1000 Hz and 1100 Hz mixing together in your ear. You will hear 1000, 1100, the "beat" or difference between them and perhaps the sum. You would do 1100 - 1000 = 100 to calculate the beat frequency. If the accuracy on the 1100 and the 1000 is ± 10 Hz, then the beat could be anywhere from
    (1100 - 10) - (1000 + 10) = 80 Hz to (1100+10) - (1000 - 10) = 120 Hz
    so you would say it is 100 ± 20 Hz. I don't think it makes sense to use the differential equation in such a simple case - save it for a situation where you have multiplying at least.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook