One of the largest pipe organs is in the auditorium organ in the Fox Theatre. The pipe is 32 ft. Long and produces a sound with a wavelength of about 8.8m. If the speed of sound in air is 346 m/s what is the frequency of this sound? What is the period? Show all work and explain your answer.

Explanation:

length of pipe= 32 ft

wavelength of wave λ= 8.8 m

let f be frequency

we know velocity of wave v=λf

therefore, f=v/λ = 346/8.8 = 39.31 per second or hertz

time period = 1/f = 1/39.31 = 0.02543 seconds

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