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    The range of human hearing is roughly from twenty hertz to twenty kilohertz. Based on these limits and a value of 343 m/s for the speed of sound, what are the lengths of the longest and shortest pipes (open at both ends and producing sound at their fundamental frequencies) that you expect to find in a pipe?

    © BrainMass Inc. brainmass.com December 24, 2021, 4:45 pm ad1c9bdddf
    https://brainmass.com/physics/sound-hearing/sound-waves-5849

    SOLUTION This solution is FREE courtesy of BrainMass!

    For pipes open at both ends the wavelength corresponding to the fundamental frequency is 2L (as there are antinodes at both ends)
    lambda =2L

    Frequency= Velocity/wavelength= v/lambda = v/2L
    f=v/2L or L=v/2f
    for f=20 Hz
    L= 343/ (2 x 20 )=8.575 m (Longest pipe)

    for f=20,000 Hz
    L= 343/ (2 x 20,000 )=0.008575 m or 8.575 mm (Shortest pipe)

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 4:45 pm ad1c9bdddf>
    https://brainmass.com/physics/sound-hearing/sound-waves-5849

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