How far should a cellist move her finger to adjust a string's tone from an out-of-tune 449.9 Hz to an in-tune 440.0 Hz? The string is 68.2 cm long, and the finger is 17.3 cm from the tuning nut for the 449.9-Hz tone. (Assume the tone comes from the portion of the string between the cellist's finger and the end opposite the nut.

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How far should a cellist move her finger to adjust a string's tone from an out-of-tune 449.9 Hz to an in-tune 440.0 Hz?
The string is 68.2 cm long, and the finger is 17.3 cm from the tuning nut for the 449.9-Hz tone.
(Assume the tone comes from the portion of the string between the cellist's finger and the end opposite the nut.
Assume the string vibrates in the fundamental mode.)

include diagram



 cm

In what direction should her finger be moved?

toward the tuning nut, lengthening the vibrating part of the string
away from the tuning nut, shortening the vibrating part of the string    
vibrating length
tuning nut
finger
Transcribed Image Text:vibrating length tuning nut finger
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