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A violin string has a length of 0.327 m and is tuned to scientific pitch Ag, with fa = 440 Hz. (a) How far (in cm) from the bridge end of the string must the violinist place her finger to play scientific pitch B4, with fg = 494 Hz? | cm from the bridge (b) If this position is to remain correct to one-half the width of a finger (that is, to within 0.460 cm), what is the maximum allowable percentage change in the string tension? %

A violin string has a length of 0.327 m and is tuned to scientific pitch Ag, with fa = 440 Hz. (a) How far (in cm) from the bridge end of the string must the violinist place her finger to play scientific pitch B4, with fg = 494 Hz? | cm from the bridge (b) If this position is to remain correct to one-half the width of a finger (that is, to within 0.460 cm), what is the maximum allowable percentage change in the string tension? %

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A violin string has a length of 0.327 m and is tuned to scientific pitch A, with f, = 440 Hz. (a) How far (in cm) from the bridge end of the string must the violinist place her finger to play scientific pitch B, with fe = 494 Hz? cm from the bridge (b) If this position is to remain correct to one-half the width of a finger (that is, to within 0.460 cm), what is the maximum allowable percentage change in the string tension?
Transcribed Image Text:A violin string has a length of 0.327 m and is tuned to scientific pitch A, with f, = 440 Hz. (a) How far (in cm) from the bridge end of the string must the violinist place her finger to play scientific pitch B, with fe = 494 Hz? cm from the bridge (b) If this position is to remain correct to one-half the width of a finger (that is, to within 0.460 cm), what is the maximum allowable percentage change in the string tension?
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