Asked by Idali
Consider a string with a length of 56 cm tied at both end (like on a stringed instrument). If the frequency of the first harmonic on the string is 272 Hz, determine the speed of the wave in the string. Post your answer in m/sand with 3 significant figures.
Answers
Answered by
bobpursley
if the first harmonic is 272, then the fundamental is half that, 136hz
lambad/2=.56
wavelength=1.12 m
Freq*lambda = speed
thinking: 100*1=100m/s, or about 1/3 the speed of sound in air, which is odd, as the speed of sound in a wire should be much more. So, how does that work: The speed is slowed because the spring is working like a transverse spring, and we are not measuring the longitudinal wave speed. It is much more like a spring with a mass attached. The description is here.... http://www.colorado.edu/physics/phys1010/phys1010_fa15/Large%20size%20pre-class%20notes/New%20CL14.pdf
lambad/2=.56
wavelength=1.12 m
Freq*lambda = speed
thinking: 100*1=100m/s, or about 1/3 the speed of sound in air, which is odd, as the speed of sound in a wire should be much more. So, how does that work: The speed is slowed because the spring is working like a transverse spring, and we are not measuring the longitudinal wave speed. It is much more like a spring with a mass attached. The description is here.... http://www.colorado.edu/physics/phys1010/phys1010_fa15/Large%20size%20pre-class%20notes/New%20CL14.pdf
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