What reference does dB Lw use?

dB Lw uses a reference sound power of 1 pW, equal to 1e-12 W.

Can I convert dB Lw to watts?

Yes. Select dB Lw as the input unit and W as the output unit.

Which input units are supported?

The converter accepts W, mW, µW, pW, and dB Lw.

What values are valid for linear power?

Linear sound power must be non-negative. dB Lw values must be finite.

How is the result rounded?

Set Decimal Places to a value from 0 to 10. The default is 6 decimal places.

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Sound Power Level Converter (W / dB Lw re 1 pW)

Convert sound power between linear units (W, mW, µW, pW) and the decibel sound power level dB Lw (Lw = 10·log₁₀(W / 1 pW), reference P₀ = 1 pW = 1e-12 W, per ISO 3744 / IEC 60027-3). Supports bidirectional linear↔logarithmic conversion and reports the equivalent value in all five units. Reference values: whisper ≈ 1e-9 W (Lw ≈ 30), speech ≈ 1e-5 W (Lw ≈ 70), jet engine at 1 m ≈ 1e4 W (Lw ≈ 160).

Execution

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2 examples

Speech: 1e-5 W → dB Lw = 70

1e-5 W → Lw = 10·log₁₀(1e-5 / 1e-12) = 10·log₁₀(1e7) = 70 dB. Normal conversational speech.

{"result":"0.00001 W = 70 dB Lw. All units: W=0.00001, mW=0.01, µW=10, pW=10000000, dB Lw=70.","metadata":{"input":{"inputUnit":"W","value":0.00001,"outputUnit":"dB Lw"},"result":{"outputValue":70,"outputUnit":"dB Lw","linearBaseW":0.00001,"dbLw":70,"W":0.00001,"mW":0.01,"µW":10,"pW":10000000,"dB Lw":70}}}

Whisper: 30 dB Lw → µW = 0.001

30 dB Lw → P = 1e-12 × 10^(30/10) = 1e-12 × 1000 = 1e-9 W = 0.001 µW = 1000 pW. Just-audible whisper sound power.

{"result":"30 dB Lw = 0.001 µW. All units: W=0.000000001, mW=0.000001, µW=0.001, pW=1000, dB Lw=30.","metadata":{"input":{"inputUnit":"dB Lw","value":30,"outputUnit":"µW"},"result":{"outputValue":0.001,"outputUnit":"µW","linearBaseW":0.000000001,"dbLw":30,"W":0.000000001,"mW":0.000001,"µW":0.001,"pW":1000,"dB Lw":30}}}

Inputs

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4 options

SettingsAdjust formats, ranges, numbers, and modes.4

Input unitselectOptionalValuenumberRequiredSound power in the selected Input unit. Must be non-negative (linear) or finite (dB).Output unitselectOptionalDecimal PlacesnumberOptional

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Sound Power Level Converter (W / dB Lw re 1 pW)

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Key facts

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Use cases

Examples

1. Convert speech sound power to dB Lw

2. Convert a whisper-level value to microwatts

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