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1. If a wind instrument, like a tuba, has a fundamental frequency of30.0Hz, what are its first three overtones? It is closed at one end.

1. If a wind instrument, like a tuba, has a fundamental frequency of30.0Hz, what are its first three overtones? It is closed at one end. first overtone ___ Hz second overtone ___ Hz third overtone ___ Hz (The overtones of a real tuba are more complex than this, since it is a tapered tube.)

2. What are the first three overtones of a double reed instrument that has a fundamental frequency of 144 Hz? It is open at both ends. first overtone __ Hz second overtone ___ Hz third overtone ___Hz (The overtones of the instrument are actually more complex than this, since its double reed makes it act more like a tube closed at one end.)

3. A steel wire in a piano has a length of0.9000m and a mass of4.70010-3kg. To what tension must this wire be stretched so that the fundamental vibration corresponds to middle C (fC= 261.6 Hz on the chromatic musical scale)? _____N

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