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Questions about Sound in pipes

Questions about Sound in pipes. Equations and facts needed to solve the subsequent problems. v w = 331 +0.6t v = λ f Length of pipe between any two harmonics = ½ λ For an Open pipe: fundamental λ = 2L Subsequent harmonics at 2f 1 , 3f 1 , 4f 1 … For Closed pipe: Fundamental λ = 4L

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Questions about Sound in pipes

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  1. Questions about Sound in pipes

  2. Equations and facts needed to solve the subsequent problems • vw = 331 +0.6t • v = λf Length of pipe between any two harmonics = ½ λ • For an Open pipe: fundamental λ = 2L • Subsequent harmonics at 2f1, 3f1, 4f1… • For Closed pipe: Fundamental λ = 4L • Subsequent harmonics at 3f1, 5f1,7f1…

  3. Q1 • A 440 Hz tuning fork is held above a closed pipe. Find the spacing between resonances when air temp is 20°C in centimeters and meters

  4. Q2 • 440 Hz tuning fork is used with a resonating column to determine the velocity of sound in Helium gas. If the spacing between resonances are 110 cm, what is the velocity of sound in helium gas?

  5. Q3 • The frequency of a tuning fork is unknown. A student uses an air column at 27°C and find resonances spaced by 20.2 cm. What is the frequency of the tuning fork?

  6. Q4 • A bugle can be thought of as an open pipe. If a bugle were straightened out, it would be 2.65 m long. • A) If the speed of the sound was 343 m/s, find the lowest frequency that is resonant for the bugle. • B) Find the next 2 resonant frequencies for the bugle.

  7. Q5 • The auditory canal leading to the eardrum is a closed pipe that is 3.0 cm long. Find the approximate value of the lowest resonance frequency.

  8. Q6 • If you hold a 1.2 m aluminum rod in the center and hit one end with a hammer, it will oscillate like a open pipe. The speed of sound in aluminum is 5150 m/s. What would be the bar’s lowest frequency of oscillation?

  9. Q7 • A flute acts as an open pipe. If a flute sounds a note with a 370 Hz pitch, what are the frequencies of the 2nd, 3rd, and fourth harmonics of this pitch

  10. Q8 • A clarinet sounds the same note with a 370 Hz pitch as the flute in the previous problem. The clarinet, however, is a closed pipe. What are the frequencies of the 2nd, 3rd, and 4th harmonics produced by this instrument?

  11. Q9 • A guitar string is 65.0 cm long and is tuned to produce a lowest frequency of 196 Hz. • A) Is the guitar treated as a open or closed end resonator? • B) what is the speed of the wave on the string?

  12. Q10 • The lowest note produced from a pipe organ is 16.4 Hz. • A) What is the shortest open pipe that will resonate at this frequency? • B) What is the pitch if the same organ pipe is closed?

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