Figure P14.46a is a photograph of a vibrating wine glass. A special techinque ma

Question

Figure P14.46a is a photograph of a vibrating wine glass. A special techinque makes black and white stripes appear where the glass is moving, with closer spacing where the amplitude is larger. Six nodes and six antinodes alternate around the rim of the glass in the vibration photographed, but consider instead the case of a standing wave vibration with four nodes and four antinodes equally spaced around the 10.0 cm circumference of the rim of a goblet. If transverse waves move around the glass at 930 m/s, an opera singer would have to produce a high harmonic with what frequency to shatter the glass with a resonant vibration as shown in Figure P14.46b?

Explanation / Answer

since four nodes and four anti nodes are measured alongthe circumfrence        then           2r = 2                            = r r = radius of the glass .              from the above relation we can solve for and given veocity of the wave = v frequncy f = v / .

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