# prob9 - higher pitch or a lower pitch? 7. I have a string...

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Instructions Complete the following exercises in class on Tuesday, May 31. Feel free to work together in groups or to consult with your instructor. These exercises are for your bene±t and need not be turned in. Make sure you understand all of the material! 1. De±ne overtone, harmonic, octave, arithmetic progression, and geometric progression. 2. De±ne perfect ±fth, perfect fourth, major third, minor third, and minor seventh. 3. Sketch a standing wave with 10 nodes and 9 antinodes. What are the boundaries like? 4. Sketch a standing wave of 9 nodes and 10 antinodes. What are the boundaries like? 5. A certain stretched string has a fundamental frequency of 200 Hz. What must be done to its length to produce a frequency of 100 Hz? Instead, what must be done to the tension applied to produce a frequency of 100 Hz? Summer 2011 1 Problem Set 09 P ROBLEM S ET 9 G ENERAL S CIENCE 121 S UMMER 2011

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6. Would a string of higher linear mass density with the same length and tension applied produce a
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Unformatted text preview: higher pitch or a lower pitch? 7. I have a string of linear mass density 0.05 kg/m. I stretch it between two pulleys separated by 2 m and hang a total of 0.5 kg from the strings to produce a tension. Calculate the wave speed. 8. Calculate the frequency of the third harmonic of a standing wave produced in question 8. 9. Sketch a longitudinal standing wave with 6 nodes and 7 antinodes. What harmonic is the wave you just sketched? 10. Compute the frequency of the wave you sketched for a 20 0 C day assuming a tube length of 1 m. 11. A Kundt tube has a length of 1 m. Compute its fundamental frequency assuming the speed of sound is 340 m/s. Sketch the Frst 3 harmonics and compute their frequencies. 12. How long must a closed-closed tube be such that the third harmonic is 1200 Hz (c = 340 m/s)? Summer 2011 2 Problem Set 09...
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## This note was uploaded on 06/02/2011 for the course GSCI 121 taught by Professor Niculescu,m during the Spring '08 term at James Madison University.

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prob9 - higher pitch or a lower pitch? 7. I have a string...

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