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.

Answers

Answer 1

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

Answer 2

The frequency of this sound will be 39.31-sec⁻¹or Hz. While the time period will be 0.02543 sec.

What is the frequency?

Frequency is defined as the number of repetitions of waves occurring in 1 second. Frequency is also defined as the number of cycles completed in 1 second. SI unit of frequency is Hz.

The given data in the problem is;

L is the length of pipe= 32 ft

λ is the  wavelength of wave= 8.8 m

f is the frequency=?

T is the time period=?

The frequency is fine as the ratio of the speed of wave and wavelength.,

[tex]\rm f= \frac{v}{\lambda} \\\\ \rm f= \frac{346}{8.8}\\\\ \rm f= 39.31 \ Hz[/tex]

The time period is guven as the inverse of the time period.

[tex]\rm T = \frac{1}{f} \\\\ \rm T = \frac{1}{39.31} \\\\ \rm T = 0.02543\ sec[/tex]

Hence the frequency of this sound will be 39.31-sec⁻¹or Hz. While the time period will be 0.02543 sec.

To learn more about the frequency reference to the link;

https://brainly.com/question/14926605


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