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1 ) A harpsichord string of length 1.60 m and linear mass density 26.0 mg/m vibr

ID: 2010267 • Letter: 1

Question

1 ) A harpsichord string of length 1.60 m and linear mass density 26.0 mg/m vibrates at a (fundamental) frequency of 460.0 Hz.
(a) What is the speed of the transverse string waves? unit in m/s

(b) What is the tension? unit in N

(c) What are the wavelength and frequency of the sound wave in air produced by vibration of the string? The speed of sound in air at room temperature is 340 m/s.
wavelength m
frequency Hz

2 ) A 1.6-m-long string fixed at both ends vibrates at resonant frequencies of 828 Hz and 1035 Hz, with no other resonant frequency between these values.
(a) What is the fundamental frequency of this string? unit in HZ

(b) When the tension in the string is 1174 N, what is the total mass of the string? unit in g

Explanation / Answer

Length L = 1.6 m

Mass density m = 26 mg / m

                          = 0.026 g / m = 0.026 * 10 ^ -3 kg / m

                          = 26 * 10 ^ -6 kg / m