High School

Welcome to the article What are the relevant harmonic frequencies of a 30 mm ear canal modeled as a 1 4 wavelength resonator. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!

What are the relevant harmonic frequencies of a 30 mm ear canal, modeled as a 1/4 wavelength resonator?

Answer :

The relevant harmonic frequencies of a 30 mm ear canal, modeled as a 1/4 length resonator, can be calculated using the formula for the resonant frequencies of a closed tube.

The answer to the question is that the relevant harmonic frequencies can be determined by dividing the speed of sound in air (approximately 343 m/s at room temperature) by four times the length of the ear canal (30 mm or 0.03 m in this case).

By applying the formula f = (c/4L), where f represents the frequency, c is the speed of sound, and L is the length of the ear canal, we can compute the harmonic frequencies.

Substituting the given values, we get f = (343 m/s) / (4 * 0.03 m) = 2858.33 Hz for the fundamental frequency (first harmonic).

To determine the higher harmonics, we multiply the fundamental frequency by integers. For example, the second harmonic would be 2 * 2858.33 Hz, the third harmonic would be 3 * 2858.33 Hz, and so on.

Therefore, the relevant harmonic frequencies of the 30 mm ear canal, modeled as a 1/4 length resonator, would be multiples of the fundamental frequency of 2858.33 Hz, determined by the length of the ear canal and the speed of sound in air.

To learn more about Harmonic frequencies, visit:

https://brainly.com/question/20849418

#SPJ11

Thank you for reading the article What are the relevant harmonic frequencies of a 30 mm ear canal modeled as a 1 4 wavelength resonator. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Brahmana