Question

Please complete the following problem and receive the provided answers.

Niccolo is getting ready for a recital. He tunes a 35.0-cm string to a 392-Hz G note. (a) Where must Niccolo place his finger to produce a 440-Hz note? (b) Calculate the percent tolerance in the tension of the spring if the position determined in (a) is accurate to within 6.00 mm

The answers are (a) 3.82 cm and (b) 0.385%.

Answer 1

a) Velocity of the string must be same irrelevant of the frequency of note.

Hence, for note 392 Hz and 440 Hz

440 U392

= 440 X 44O or, A392 X 392

The 392 Hz note is the fundamental note.

3922L392=70cm

Hence,

70 x 392 = 2L440 x 440

or, L440=31.18cm

The guitar must be struck

from the end.

(35- 31.18)cm 3.82cm