1.The thickest string on a guitar has a diameter of0.056 inches and is stretched under a tension of174 N . Assume the guitar string has a density of8.1 g/cm^3

(a)If it vibrates along the entire length of69 cm between the bridge and the nut, what will be the frequency of the fundamental harmonic? HZ?

(b)The guitar player wants the string to vibrate at twice the frequency calculated in part (a). For this she presses the string at a fret that is located a distanceL from the bridge before plucking the string. Determine L ?cm?

2.

A student places a speaker at one end of a tube and a microphone at the other end. The student connects the speaker to a function generator and sweeps the frequency of the generator from 80 HZ to 420 HZ . The student measures the amplitude of the signal from the microphone while doing this and observes maxima in the microphone signal at frequencies of 134 HZ , 201 HZ ,268 HZ,335 HZ , and 402 HZ .

What is the length of the tube? (Use3343 m/s as the speed of sound.) m?

3.You have been asked to design a set of pipes for an organ. Assuming that the pipes have one open end and one closed end, calculate the lengths you will need to go from 28 HZ to 560 hz .

(a) Length required for 28HZ is.

m?

(b) Length required for 560 Hz is.

m?

4.An interesting demonstration of standing waves can be done by twirling one end of a flexible, corrugated hose that is open at both ends. The twirling motion causes air to be drawn through the hose, and air rushing over the corrugations creates turbulence in the hose. The turbulence excites waves. It is usually possible to get the three lowest tones from the hose. For a 117 cm hose, what frequencies will be heard?

(a) Lowest frequency is ?HZ

(b) Second lowest frequency isis?HZ

(b) Third frequency is? HZ