What Is the Formula That Links Sound Wave Power and Frequency?

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Homework Help Overview

The discussion revolves around the relationship between sound wave power and frequency, specifically seeking a formula that connects these concepts without involving intensity. Participants are exploring the underlying principles of sound wave behavior.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to identify a formula linking power and frequency. Some participants suggest that amplitude may play a role in this relationship. Others present a specific equation related to power from a spherical source and inquire about its derivation.

Discussion Status

The discussion is active, with participants exploring different aspects of sound wave power and frequency. Some guidance has been offered regarding the equation for power from a spherical source, but there is no explicit consensus on the relationship being sought.

Contextual Notes

There appears to be a focus on deriving relationships without including intensity, which may limit the scope of the discussion. The inquiry into the derivation of a specific equation indicates a desire for deeper understanding of the concepts involved.

Werg22
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Was the formula tha links power and frequency (a formula that doesn't include intensity)?
 
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Wouldn't it just be the amplitude of the wave?
 
Power from a spherical source, is defined, in the far field as:

[tex]\Pi = \frac{4 \pi r^2 p^2_{rms}}{\rho_o c}[/tex]
 
FredGarvin said:
Power from a spherical source, is defined, in the far field as:

[tex]\Pi = \frac{4 \pi r^2 p^2_{rms}}{\rho_o c}[/tex]

How do you derive this equation? Thanks
 

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