1. A person is listening to a new instrument capable of sounds ranging from 10 dB to 150 dB and with frequencies from 12 Hz to 30,000 Hz. Comment on the suitability of this instrument for the musician or audience.

2. A guitar emits a 440 Hz tone. How far apart are the crests in room temperature air (20 degrees celsius)? How long does it take the string to vibrate from crest position to trough position (across twice the amplitude)?

1 answer

Answer 1: This instrument is suitable for both the musician and the audience, as it has a wide range of sound levels and frequencies. The 10 dB to 150 dB range is suitable for both loud and soft music, while the 12 Hz to 30,000 Hz range covers a wide range of musical notes.

Answer 2: The crests of the 440 Hz tone in room temperature air (20 degrees celsius) are approximately 7.5 meters apart. It takes the string 0.0045 seconds to vibrate from crest position to trough position (across twice the amplitude).
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