What is the Resonant Frequency of a 2-Year Old's Outer Ear?

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Homework Help Overview

The discussion revolves around determining the resonant frequency of a 2-year-old child's outer ear, which is approximately 1.7 cm in length. Participants are also tasked with drawing a diagram of the natural harmonic associated with this frequency.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the resonant frequency using a given formula and expresses uncertainty about the correctness of their result. They also inquire about the nature of the waveform to be drawn. Other participants confirm the calculation and clarify the type of graph needed, while questioning the original poster's reference to a "damped version."

Discussion Status

The discussion is active, with participants providing confirmation and clarification regarding the calculations and the type of waveform required. There is an exploration of different interpretations of the graph to be drawn, indicating a productive exchange of ideas.

Contextual Notes

There is some ambiguity regarding the type of waveform expected for part (b) of the problem, with references to both damped and static graphs. The original poster's understanding of the requirements appears to evolve through the discussion.

Derek1997
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Homework Statement


A 2-year old child has an outer ear length of approximately 1.7 cm (compared to 2.5 cmfor an adult). Find the resonant frequency of the outer ear of the average 2 year old
b.Draw a diagram of the natural harmonic for the child’s ear.

Homework Equations


f=v/waveleng
where wavelengt= 4L

The Attempt at a Solution


for a, i used the equation, for baby i got 343/0.068= 5.04KHz am i right?
Also for b, do i need to draw the damped version of the graph? cheers.
 
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You are correct on (a)
For (b) you need to draw the fundamental waveform that you used to answer part (a). I am not sure what you mean by "damped version."
 
kuruman said:
You are correct on (a)
For (b) you need to draw the fundamental waveform that you used to answer part (a). I am not sure what you mean by "damped version."
Hi, so the one on which the graph rises at 5khz and the falls back down. so what i mean is it's moving straightline as it approaches 5khz, it will rise then decrease as we pass the 5. is it right?
 
ohhh so you mean the tube one? in which it has a close at one end?
 
Yes.
 
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Likes   Reactions: Derek1997
kuruman said:
Yes.
like for you son <3
 

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