Question:

Physics: Vibration Question--completely stumped!?

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I have spent about an hour staring at this problem, and while I know the solution is more than likely not as difficult as I'm making it out to be, I just cannot figure this out:

An electric wire that has a mass of 5.0 kg for a 20 m length is strung between two poles 20 m apart. What must be the tension in the wire if it is to take .80 seconds for a pulse to travel along the wire from one pole to the other?

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  1. v = 20m/0.80s = 25m/s

    v = square root of {(tension) / (mass/length)}

    v^2 (mass/length) = tension

    (25m/s)^2 (5.0kg/20m) = tension

    (625m^2/s^2)(0.25kg/m) = tension

    tension = 156.25 kg.m/s^2

    tension = 156.25 N

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