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Converter: Pa ↔ dB

Distance Attenuation

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About

Acoustic monitoring is a health mandate in industrial and event environments. The human ear perceives sound logarithmically, meaning linear changes in pressure (Pascals) translate to complex changes in perception (Decibels). Engineers must accurately convert these values to assess compliance with noise control regulations.

This tool performs the conversion from Sound Pressure (p) to Sound Pressure Level (Lp) relative to the human hearing threshold. It also applies the Inverse Square Law to predict how noise levels drop as distance increases, a critical calculation for zoning safety perimeters around generators, PA systems, or heavy machinery.

acoustics decibels sound pressure OSHA safety attenuation

Formulas

SPL from Pressure:

Lp = 20 log10pp0

Where p0 = 20µPa (Reference)

Distance Attenuation (Inverse Square Law):

L2 = L1 20 log10r2r1

Reference Data

Source EnvironmentPressure (Pa)Level (dB SPL)Max Safe Exposure (NIOSH)
Jet Engine (30m)200140Immediate Damage
Thunderclap20120< 9 seconds
Chainsaw / Rock Concert2110~2 minutes
Jackhammer0.6310015 minutes
Subway Train0.2902 hours
Heavy Traffic0.063858 hours (Work limit)
Vacuum Cleaner0.0270Safe Indefinitely
Conversation0.00260Safe Indefinitely
Quiet Library0.000240Safe Indefinitely
Hearing Threshold0.000020N/A

Frequently Asked Questions

dB SPL represents the raw physical sound pressure. dBA (A-weighted) applies a filter that mimics human hearing sensitivity, reducing low and high frequency impact. OSHA/NIOSH limits are usually cited in dBA, but dB SPL is used for physics and equipment specs.
In a free field, doubling the distance from a point source reduces the sound level by exactly 6 dB. This is the Inverse Square Law. Inside rooms, reflections (reverberation) reduce this effect.
The reference pressure p0 is 20 micropascals (20 ยตPa). This is considered the quietest sound a healthy young human ear can detect at 1 kHz.