1. Not finding help here? Sign up for a free 30min 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!

Graphing To Find Linear Mass Density (Waves)

  1. Feb 9, 2008 #1
    1. The problem statement, all variables and given/known data

    This is for a lab involving a rope being tied to a frequency generator on one end and a mass string on the other (creating tension on the rope) in order to create standing waves.

    I have to find the u (linear mass density which is kg/m for a rope by plotting it. This is the equation I'm supposed to plot f vs n/2L[sqrt(F)]

    I have the value for f (frequency), n, L (length), and F (tension in the string) so all I have to do is find u. I'm unsure however how plotting the above relation will give me the value for u using various frequencies.

    2. Relevant equations

    f = n/2L[sqrt(F/u)]

    where:
    f = frequency (hz)
    n = integer such as 1, 2, 3
    L = length such as 0.100 m
    F = Force of tension on the rope in N (mass*gravity)
    u = Linear mass density (kg/m or mass/length of rope)

    3. The attempt at a solution

    Rearranging the equation, I'm guessing u would be the slope in the relation above. And the slope will equal 1/sqrtu ? Also how many graphs should I draw if I have a changing value for n, L, and F? Would it be a seperate graph for each different value of L and F?
     
  2. jcsd
  3. Feb 10, 2008 #2
    If I fix sqrtF/2L then can I use n (harmonics) for the x values?

    Also, would the slope of the graph equal 1/u?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Similar Discussions: Graphing To Find Linear Mass Density (Waves)
  1. Linear Mass Density (Replies: 3)

Loading...