Home Back

Sound Pressure To Sound Power Calculator

Sound Pressure To Sound Power Formula:

\[ W = L_p - 10 \log_{10} (4 \pi r^2) \]

dB
m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Sound Pressure To Sound Power Formula?

The Sound Pressure To Sound Power formula calculates the sound power level from sound pressure level at a known distance. It's based on the inverse square law for sound propagation in free field conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W = L_p - 10 \log_{10} (4 \pi r^2) \]

Where:

Explanation: The formula accounts for the spherical spreading of sound waves, where sound intensity decreases with the square of the distance from the source.

3. Importance of Sound Power Calculation

Details: Sound power calculation is essential for noise control engineering, acoustic product design, environmental noise assessment, and compliance with noise regulations.

4. Using the Calculator

Tips: Enter sound pressure level in dB and distance in meters. Distance must be greater than zero. The calculation assumes free field conditions and spherical sound radiation.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between sound power and sound pressure?
A: Sound power is the total acoustic energy emitted by a source, while sound pressure is the local effect measured at a specific point.

Q2: Does this formula work in all environments?
A: This formula assumes free field conditions. In enclosed spaces or with reflections, additional corrections may be needed.

Q3: What are typical sound power levels for common sources?
A: Whisper: ~10⁻⁹ W, Normal conversation: ~10⁻⁶ W, Jet engine: ~10⁵ W.

Q4: How does distance affect sound pressure level?
A: Sound pressure level decreases by approximately 6 dB for each doubling of distance in free field conditions.

Q5: Are there limitations to this calculation?
A: This calculation assumes omnidirectional sound radiation and doesn't account for atmospheric absorption, ground effects, or reflections.

Sound Pressure To Sound Power Calculator© - All Rights Reserved 2025