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: Transverse wave through a wire, and tension.

  1. Apr 18, 2010 #1
    A transverse wave in a wire with a linear density 2.35 g/m has the form y(x,t) = (1.4 cm)sin[(5.45 m-1)x−(6950 s-1)t].
    What is the tension?


    I took the A=.014m, k=5.45 /m, and [tex]\omega[/tex]=6950.

    I used the formula for the max velocity = A[tex]\omega[/tex]
    v=(.014)(6950)=97.3

    Then I used the formula for the speed of a wave on a string v=[tex]\sqrt{\frac{F}{M/L}}[/tex].
    97.3=[tex]\sqrt{\frac{F}{.00235}}[/tex]

    And I got F=22.24813

    This was not the correct answer. I would appreciate any advice.

    I attempted to find the velocity of the pulse : (0.943s)(3.29m)(8)=24.81976
     
  2. jcsd
  3. Apr 18, 2010 #2
    Try using this equation for velocity:

    v=[tex]\omega[/tex]/k
     
  4. Apr 18, 2010 #3
    Am I right in assuming that 6950 is omega? The problem says 6950 /s, not radians/s. Is this still omega?
     
  5. Apr 18, 2010 #4
    Yes, that is still omega.
     
  6. Apr 18, 2010 #5
    That worked, thank you very much.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook