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

Thread starter Werg22
Start date May 7, 2006
Tags

Power Sound Sound wave Wave

AI Thread Summary

The discussion centers on the formula linking sound wave power and frequency, specifically questioning if it excludes intensity and relies solely on wave amplitude. The provided equation for power from a spherical source in the far field is presented, highlighting its dependence on the root mean square pressure (p_rms), density (ρ_o), and speed of sound (c). Participants seek clarification on the derivation of this equation and its implications for understanding sound wave behavior. The conversation emphasizes the relationship between power, frequency, and the physical properties of sound waves. Overall, the thread aims to deepen the understanding of sound wave dynamics through mathematical exploration.

May 7, 2006

Werg22

Was the formula tha links power and frequency (a formula that dosen't include intensity)?

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May 7, 2006

KingNothing

Wouldn't it just be the amplitude of the wave?

May 8, 2006

FredGarvin

Science Advisor

Power from a spherical source, is defined, in the far field as:

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

Jul 30, 2010

ljde

FredGarvin said:

Power from a spherical source, is defined, in the far field as:

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

How do you derive this equation? Thanks

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