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Homework Help: Opera singer and crystal goblet

  1. Oct 7, 2007 #1
    Standing-wave vibrations are set up in a crys-
    tal goblet with four nodes and four antinodes
    equally spaced around the 10:6 cm circumfer-
    ence of its rim.
    If transverse waves move around the glass
    at 900 m=s, an opera singer would have to
    produce a high harmonic with what frequency
    in order to shatter the glass with a resonant
    vibration? Answer in units of kHz.

    I'm stuck on this problem, please help.
  2. jcsd
  3. Oct 8, 2007 #2


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    Staff Emeritus
    Science Advisor
    Gold Member

    If the rim has a wave with 4 nodes and 4 antinodes then what is the wavelength of that wave considering the rim is 10.6cm? Since you are given the wave speed do you know of any equation that relates the wave speed the wavelength and the frequency?
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