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What is the wave speed in the bridge?

  1. Dec 9, 2015 #1
    1. The problem statement, all variables and given/known data
    A certain pedestrian bridge in England resonates like a string fixed at both ends. If the bridge is 73.0 m long and its fundamental resonance is at 0.600 Hz, what is the wave speed in the bridge?

    2. Relevant equations
    Velocity = (frequency)(wavelength)

    3. The attempt at a solution

    wavelength = 73.0 m
    frequency = .600 Hz
    velocity = find it

    v = (.600)(73.0)
    v = 43.4 = 44 m/s

    I got this wrong on my hw, I thought this was how to do it? Could someone please show me what I am doing wrong?
    Thank you for your help
     
  2. jcsd
  3. Dec 9, 2015 #2
    Note that the fundamental resonance is not the same thing as frequency.
     
  4. Dec 9, 2015 #3
    Multiply by 2.

    The "fundamental resonance" is when the bridge is resonating at only half a wavelength. To correct for this to find the velocity, multiply the length of the bridge by 2.
     
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