The E string of a violin has a mass per unit length of 4.0*(10^-4)kg/m, and must be tuned to a frequency of 660 Hertz. The vibrating length of the string is 0.33 m. Calculate the tension when the string is in tune.
2007-11-29 10:45:14 · 2 answers · asked by Gabe 3 in Science & Mathematics ➔ Physics
The velocity of the wave v is related to the linear density u and tension T by
v = sqrt ( T / u )
The relationship between velocity, frequency f and wavelength λ of a wave is
f λ = v
The first-order wave on the string has wavelength of twice the length of the string, so λ = 2 l where l is the length of the string. You know the desired frequency, so plug it in and solve for velocity v. Now you have velocity; use that and the given linear density in solve the first equation to solve for tension.
2007-11-29 11:01:34 · answer #1 · answered by jgoulden 7 · 0⤊ 0⤋
it varies with temperature
2007-11-29 18:55:01 · answer #2 · answered by Anonymous · 0⤊ 0⤋