A cellist tunes the C-string of her instrument to a fundamental frequency of 65.4 Hz. The vibrating portion of the string is 0.600 m long and has a mass of 14.4 g.
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F = 4L 2 f 1 2 µ = 4mLf 1 2 = 4(14.4 × 10 –3 kg) (0.600 m) (65.4 Hz) 2 = 148 N.
The tension must increase by a factor of 
, and the percent increase in (73.4/65.4) 2 – 1 = 26.0%.
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