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Acoustics & ApplicationsWhat Is The Difference Between Sound Pressure And Sound Power?

What Is The Difference Between Sound Pressure And Sound Power?

In acoustics, two terms are often confused

  • Sound Pressure
  • Sound Power

Both are fundamental, but they describe completely different physical quantities.

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sound pressure vs. sound power

Sound Pressure vs Sound Power


Sound Pressure

What you measure at a point

  • Unit: Pa (Pascal) or dB SPL
  • Represents local air pressure fluctuation
  • Depends on distance, environment, reflection


Sound Power

What the source emits

  • Unit: W (Watt) or dB SWL
  • Represents total acoustic energy output
  • Independent of distance, measurement position


Key Difference

Sound Pressure = receiver-based
Sound Power = source-based


Mathematical Perspective

Sound Pressure Level (SPL): p0 = 20μPa (reference pressure)

Sound Pressure Level


Sound Power Level (SWL): W0 = 10-12W (reference power)

Sound Power Level


Relationship between SPL (Lp) and SWL (Lw)

08468d52540d4.png

Directivity Factor (Q)Radiation Condition
Q = 1Spherical radiation in free space
Q = 2Hemispherical radiation above a reflecting plane
Q = 4Quarter-spherical radiation near a wall
Q = 8Eighth-spherical radiation in a corner


Simply, in a free field at distance r = 1 m from an omnidirectional source (Q = 1 )

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Comparison Table

AspectSound PressureSound Power
MeaningMeasure at a pointEmitted by sound source
UnitPa / dB SPLW / dB SWL
Depends on distanceYesNo
Depends on environmentYesNo
Measurement toolMicrophoneCalculated / standard method


Why This Difference Matters

1. Distance Effect

Sound pressure decreases with distance

Inverse square law

  • Double distance → ~6 dB decrease, 20 log10 (2)  ≒ 6.02 

Sound power remains constant


2. Environment Effect

Sound pressure changes due to

  • Reflection
  • Absorption
  • Room acoustics

Sound power does NOT change


3. Source Comparison

To compare two machines (e.g. air compressors)

  • Sound pressure → unreliable
  • Sound power → reliable

Sound power is used for source characterization 


Usage

Sound Pressure
  • Room noise evaluation
  • Human perception (dBA)
  • Compliance checks


Sound Power
  • Source identification
  • Machinery comparison
  • Acoustic modeling


Typical Workflow

  1. Measure sound pressure
  2. Convert or estimate sound power
  3. Use sound power for design and prediction


Key Insights

  • Sound pressure tells you what you hear
  • Sound power tells you what the source produces


Conclusion

Sound pressure and sound power are fundamentally different

  • Sound pressure → measurement at a point
  • Sound power → intrinsic source property


Suggested Further Reading

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