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Decibel Level Calculator Distance Between People

Distance Attenuation Formula:

\[ L_2 = L_1 - 20 \log_{10}(d_2 / d_1) \]

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meters
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1. What is the Distance Attenuation Formula?

The distance attenuation formula calculates how sound levels decrease as you move away from the source. It's based on the inverse square law, which states that sound intensity decreases by 6 dB for each doubling of distance from the source.

2. How Does the Calculator Work?

The calculator uses the distance attenuation formula:

\[ L_2 = L_1 - 20 \log_{10}(d_2 / d_1) \]

Where:

Explanation: The formula accounts for how sound energy spreads out as it travels through space, resulting in lower perceived volume at greater distances.

3. Importance of Sound Level Calculation

Details: Understanding sound attenuation is crucial for noise control, acoustic design, hearing protection, and environmental noise assessment.

4. Using the Calculator

Tips: Enter the initial sound level in dB, initial distance in meters, and new distance in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why does sound decrease with distance?
A: Sound energy spreads out over a larger area as it travels, reducing its intensity according to the inverse square law.

Q2: Is this formula accurate in all environments?
A: This assumes free field conditions (no reflections). Indoors or in complex environments, reflections may affect results.

Q3: How much does distance affect perceived loudness?
A: A 10 dB reduction is perceived as about half as loud, while a 6 dB reduction is clearly noticeable.

Q4: Does this work for all sound frequencies?
A: The formula works best for mid-range frequencies. High frequencies may attenuate faster due to air absorption.

Q5: How can I reduce noise exposure?
A: Increasing distance is one of the most effective ways, along with using hearing protection and reducing source volume.

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