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What equations can I use to find the tension in this cable? Transverse pulse ?

  1. Nov 20, 2012 #1
    What equations can I use to find the tension in this cable?? "Transverse pulse"??

    Number35.png

    I know I'm given the following but I have no idea what equation to use...does anyone know?

    Mass: m = 0.180 kg
    Length: L = 4.20 m
    μ = mass (m) / unit length of cord (L)​
    Time for 4 trips down and back: 0.845 s
    Tension: T = ? N

    1) Equation to use: v = √(T/μ)

    2) First find v and μ

    v = distance/time
    v = 2(4 trips)/0.845 s
    v = 8/0.845
    v = 9.467
    valong the cord = 9.467(L)
    valong the cord = 9.467(4.20 m)
    valong the cord = 9.467(4.20 m)
    valong the cord = 39.76331361 m/s

    μ = m/L
    μ = (0.180 kg)/(4.20 m)
    μ = 0.042857

    3) Plug everything in equation v = √(T/μ) and solve for T

    (v)2 = [√(T/μ)]2
    v2 = T/μ
    μv2 = T
    0.042857(39.763313612) = T
    0.042857(1581.121109) = T
    67.76210738 = T
    67.8 N = T

    Did I have the equations right??
     
    Last edited: Nov 20, 2012
  2. jcsd
  3. Nov 20, 2012 #2

    mfb

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    2016 Award

    Staff: Mentor

    Re: What equations can I use to find the tension in this cable?? "Transverse pulse"??

    Your calculation of v looks weird, but the general concept (and the result) are fine.
     
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