need help with #5 and #6 please V4 The E string on a violin is vibrating at a fu

Question

need help with #5 and #6 please

V4 The E string on a violin is vibrating at a fundamental frequency of 659 Hz. Find the wavelength and frequency of the third, fifth, and seventh harmonics. Let the length of the string be 60.0 cm. 5: A steel wire that is 1.45 m long and has a mass of 45 g is placed under a tension of 865 N What is the frequency of its fifth harmonic? 6. 7. A note is played on a guitar string 60 cm long at a frequency of 432 Hz. By how much should the string be shortened by pressing on it to play a note of 440 Hz? 8. Find the speed of sound in aluminum, copper, and lead

Explanation / Answer

5] frequencies :

f3 = 3*f1 = 659*3 = 1977 Hz

f5 = 5*659 = 3295 Hz

f7 = 7*659 = 4613 Hz

wavelengths, lambda1 = 2L = 2*0.60 = 1.2 m

lambda3 = 2L = 0.4 m

lambda5 = 2L/5 = 0.24 m

lambda7 = 2L/7 = 1.2/7 = 0.17 m

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