The Resonant Wine Glass Mystery · AI Generator #GEN-DFA23922

Physics

Problem

A street musician discovers that when she plays a pure tone of frequency f0=440  Hzf_0 = 440\;\text{Hz} on her flute while walking at speed v=2.0  m/sv = 2.0\;\text{m/s} toward a wine glass sitting on an outdoor café table, the glass begins to vibrate with maximum amplitude. However, when she stands still and plays the same note, the glass barely responds. The glass has a natural resonant frequency, and resonance occurs when the frequency of the incident sound matches this natural frequency. The speed of sound is vs=340  m/sv_s = 340\;\text{m/s}. What is the natural resonant frequency of the wine glass?

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