Calculating Energy Absorption by an Eardrum Exposed to Sound Waves

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Homework Help Overview

The discussion revolves around calculating the energy absorbed by an eardrum when exposed to sound waves, specifically focusing on a sound wave with an intensity of 80.1 dB and an eardrum area of 0.7x10^-4 m² over a duration of 4 minutes.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between intensity, area, and power, with one participant attempting to calculate energy using the formula E = (Power)(Time). There are questions regarding the conversion of decibels to a usable intensity unit, and confusion about the application of a logarithmic equation related to intensity.

Discussion Status

Participants are actively exploring the problem, with some expressing uncertainty about unit conversions and the correct application of formulas. There is no explicit consensus on the correct approach, but guidance has been offered regarding the logarithmic relationship of intensity.

Contextual Notes

There is a noted concern about the conversion of decibels to other units, which may be affecting the calculations. Participants are also referencing external resources for clarification, indicating a search for additional context or examples.

jmb07
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A sound wave with intensity of 80.1 dB is incident on an eardrum of Area = 0.7x10^-4. How much energy is absorbed by the eardrum in 4 minutes?


I know this much... Power = (Intensity)(Area)..so...P=(80.1)(0.7x10^-4)

and Energy = (power)(time) so...E = (80.1)(0.7x10^-4)(240 sec) = 1.35


However, this is not the correct answer. Am i not doing the right conversions or what?? What looks wring here? (the correct answer is 1.72)
 
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E = (80.1) ( dB ) (0.7x10^-4)(240 sec)

I think that you must change unit db
 
Yea I thought about that but i would have no idea how to convert dB to Hz or whatever it needed to be.
Any thoughts??
 
I'm a little confused about how to use this equation. I looked at the example on yahoo over and over but can't seem to figure out where some of those numbers are coming from.
 

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