,Click to edit Master title style,Click to edit Master text styles,Second level,Third level,Fourth level,Fifth level,*,Vibrating Strings and Resonance in Air Columns,String Instruments,In many musical instruments,the source sets a string into vibration,Standing waves are produced at the fundamental frequency as well as the other natural frequencies(overtones),A.32m long violin string is tuned to play a note at 440 Hz what is the wavelength of the fundamental?,For the violin string played in the previous problem,what would the wavelength of the sound wave produced in air be at 25,o,C?,Intensity Increased,Stringed instruments would not be very loud if just a string,They have a sounding board or sounding box to amplify the sound,The box resonates,Begins to vibrate itself,Wind Instruments,Standing waves produced in a column of air in a pipe,Stream of air is directed against on edge which creates turbulence and sets the air into vibration,Only frequencies which create standing waves persist,At points in the standing wave pattern produces a loop,sound intensity is amplified,Closed Ended Tube,Fundamental/1,st,Harmonic/1,st,Resonant,L=,3,rd,Harmonic/2,nd,Resonant,L=,5,th,Harmonic/3,rd,Resonant,L=5/4,Open Ended Tube,Fundamental/1,st,Harmonic/1,st,Resonant,L=,Second Harmonic/2,nd,Resonant,L=,3,rd,Harmonic/3,rd,Resonant,L=3/2,What is the frequency of the 2,nd,overtone for a 26cm open ended organ pipe at 20,o,C?,What is the frequency of the 2,nd,resonant for a 26cm long closed end organ pipe at 20,o,C?,A flute is designed to play a middle C(262 Hz)as the fundamental when all holes are covered.Assuming 20,o,C,how long is the flute?,If the same flute was played at 10,o,C,what frequency will the note be?,Quality,How you can tell one sound source from another even when playing the same frequency,Depends on the presence of overtones,Tuning Fork,Guitar,Noise,Unpleasant combo of overtones,Sound Interference,When sound waves travel through the same space,they interfere with one another,In some places they interfere constructively and the sound intensity is amplified,In some places they interfere destructively and intensity is decreased,Constructive interference occurs every whole wavelength while destructive interference occurs every wavelength,Beat,When two sounds are close in frequency they can interfere with one another over time,You will hear alternating loud and and soft sounds,Beat Frequency,Number of loud sounds heard per second,B=,f,2,f,1,Human ear can only detect beat frequencies less than 7 Hz(difference in frequency of 7 Hz),Example,A tuning fork produces a steady 400Hz tone.When struck and held near a guitar string twenty beats are counted in 5 seconds.What are the possible frequencies of the guitar string?,