What Is the Ratio of the New Sound Level to the Old?

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Homework Help Overview

The discussion revolves around calculating the ratio of sound levels when the intensity level is reduced from 90 dB to 75 dB, focusing on the concept of sound intensity and its logarithmic relationship.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between sound intensity levels and their logarithmic representation, with one participant attempting calculations based on the provided formula. Others raise questions about the reasoning behind the calculations and the implications of the results.

Discussion Status

The conversation includes attempts to clarify the calculations and the underlying principles of sound intensity levels. Some participants suggest different interpretations of the sound level changes, but there is no explicit consensus on the correct approach or outcome.

Contextual Notes

Participants are discussing the implications of a 15 dB difference and its corresponding intensity ratio, while also noting potential misunderstandings in the calculations. There is an informal exchange of messages that may indicate ongoing clarification efforts.

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[SOLVED] Sound Level

Homework Statement



If sound intensity level is reduced from 90dB to 75 dB, what is the ratio of the new sound level to the old?

Homework Equations



Sound Intensity Level = 10 log (I/Io)


The Attempt at a Solution



10 log 90 = 1.954
10 log 75 = 1.875

1.875/1.954 = .956
This probably goes against every physical law that exists, but it's all I've come up with so far. Help, please!
 
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Its easy!

Its 1/10^2.5

Sorry that was for me!

Its 1/10^1.5 for you

90--->75

Mine was 90-65
 
Last edited:
Could you please explain why?
 
This 15 db difference corresponds to a 1.5-Bel difference. This difference is equivalent to a sound which is 10^1.5 more intense. Always raise 10 to a power which is equivalent to the difference in "Bels.

Or less intense in this case thus dividing by 1.
 
Thank you!
 
Now i sent you a pm! lol
 

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