Lesson 13 of 15

Reverberation Time

Sabine's Formula

Reverberation time (T60T_{60}) is how long it takes a sound to decay by 60 dB after the source stops. Wallace Sabine derived in 1900:

T_{60} = rac{0.161 cdot V}{A}

  • V — room volume (m³)
  • A — total acoustic absorption (m² sabins) = sum(extsurfaceareaimesextabsorptioncoefficient)sum( ext{surface area} imes ext{absorption coefficient})
  • T60T_{60} — reverberation time (s)

What It Means

T60T_{60} (s)Acoustic character
< 0.5dead / anechoic
0.5–1.0speech intelligibility (lecture hall)
1.5–2.5music (concert hall)
> 3.0cathedral / very reverberant

Examples

V (m³)A (m²)T60T_{60} (s)
100101.6100
200201.6100
5001000.8050
1000503.2200

Your Task

Implement reverbTime(V, A) returning T60T_{60} in seconds.

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