1) A stretched violin string has 50 N tension and 1x10^(-2) kg / m linear density. What is the propagation speed of a transverse wave traveling on this string?
2) Violin strings are typically 60 cm long.
a) What is the frequency in hertz of the first mode on the string?
b) How about the third?
3) Another string on the violin has the same length and tension, but its linear density is instead (4.44x10^(-3) kg / m).
a) What is the propagation speed of a transverse wave on this string?
b) When played together, what interval (in semitones) will separate the two strings?
4) What is the frequency of the second mode on the string from question 3?
Hint:
ReplyDeleteBe sure to consider the boundary conditions on a violin string… are they “Fixed-Free” or “Fixed-Fixed”?