A musician plays a string on a guitar that has a fundamental frequency of 330.0

Question

A musician plays a string on a guitar that has a fundamental frequency of 330.0 Hz. The string is 63.7 cm long and has a mass of 0.275 g.

(a) What is the tension in the string?

___ N

(b) At what speed do the waves travel on the string?

____ m/s

(c) While the guitar string is still being plucked, another musician plays a slide whistle that is closed at one end and open at the other. He starts at a very high frequency and slowly lowers the frequency until beats, with a frequency of 5 Hz, are heard with the guitar. What is the fundamental frequency of the slide whistle with the slide in this position?

____ Hz

(d) How long is the open tube in the slide whistle for this frequency?

____ m

Explanation / Answer

T = v^2*m / L = (330*1.274)^2 * 0.000275 / 0.637 = 76.306 N

b) v = 330*1.274 = 420.42 m/s

c) 330 + 5 = 335 Hz

d) L = wavelength / 4 = c / 4f

L = 340 / 4*335 = 0.254 m

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