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!

Longitudinal Waves - are they very different?

  1. Jan 24, 2013 #1
    1. The problem statement, all variables and given/known data

    A continuous sinusoidal longitudinal wave is sent along a coil spring from a vibrating source attached to it. The frequency of the source is 25vib/sec, and the distance between successive rarefactions in the spring is 24cm.

    a) Find the wave speed

    b) if the max longitudinal displacement of a particle in the spring is 3.0cm, and the wave moves in the -x direction, write the equation for the wave. Let the source be at x = 0, and displacement at x = 0 and t = 0 be zero.

    2. Relevant equations

    v = λf

    k = 2∏/λ

    ω = 2∏f

    D(x,t) = Asin(kx - ωt)

    3. The attempt at a solution

    Just looking for some clarification on everything here - the fact that it is a longitudinal wave kind of freaks me out a bit, but it should be able to be modeled the same as a transverse wave right?

    v = λf = 0.24*25 = 6m/s

    then to model the wave...

    Amplitude should be the maximum displacement of a particle, 0.03m

    k = 2∏/λ = 2∏/0.24
    ω = 2∏f = 50∏

    D(x,t) = Asin(kx+ωt) = 0.03sin(2∏x/0.24 + 50∏t)

    Is this equation correct for this longitudinal wave?
    Thanks
     
  2. jcsd
  3. Jan 24, 2013 #2

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Yes, that all looks correct. (Sound waves are longitudinal too, as are pressure waves in solids.)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Longitudinal Waves - are they very different?
  1. Longitudinal waves (Replies: 2)

  2. Longitudinal waves (Replies: 2)

  3. Longitudinal waves (Replies: 18)

Loading...