The intensity of the sound wave

Thread starter hidemi
Start date Feb 8, 2021
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Intensity Sound Sound wave Wave

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SUMMARY

The discussion centers on the calculation of sound intensity using the formula I = 1/2 ρvR²w². The user calculated an intensity of 0.16 W/m² using parameters such as air density (1.2 kg/m³), sound speed (340 m/s), radius (10 x 10^-6 m), and angular frequency (2π*440/s). This result is significantly lower than the threshold of 32 W/m², which is known to cause hearing damage in seconds. The user acknowledges a discrepancy between their calculation and the expected answer, indicating a potential error in their approach.

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Understanding of sound wave physics and intensity calculations
Familiarity with the formula I = 1/2 ρvR²w²
Knowledge of parameters such as air density, sound speed, and angular frequency
Basic grasp of the implications of sound intensity on hearing health

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Review the derivation and application of the sound intensity formula I = 1/2 ρvR²w²
Explore the effects of sound intensity on human hearing and safety thresholds
Investigate common errors in sound intensity calculations and how to avoid them
Learn about sound wave properties and their measurement techniques

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Acoustics researchers, audio engineers, health professionals concerned with noise exposure, and students studying sound wave physics.

Feb 8, 2021

hidemi

Homework Statement: The speed of sound in air in 340 m/s, and the density of air is 1.2 kg/m^3. if the displacement amplitude of a 440 Hz sound wave is 10μm. what is the intensity of the wave?

Ans: 32 W/m^2

Relevant Equations: I = 1/2 ρvR²w²

I = 1/2 ρvR²w²

I = 1/2 *1.2kg/m³*340m/s*(10 x 10^-6m)²*(2π*440/s)²

I = 0.16 W/m²

This is my answer which does not match the given answer. Am I doing wrong?