Reverberation Time Calculator
Reverberation time (T60) is the time for sound to decay by 60 dB after the source stops. It determines how a room sounds. Concert halls need ~2 s; recording studios ~0.3 s.
Formula & Reference
| Variable | Symbol | Formula | Units |
|---|---|---|---|
| Reverberation Time | T60 | T60 = 0.161V/A | s |
| Room Volume | V | V = length × width × height | m³ |
| Total Absorption | A | A = ∑(αiSi) | m² (sabins) |
| Absorption Coeff | α | 0 = perfect reflection, 1 = perfect absorption | — |
Step-by-Step Examples
V=80 m^3, A=30 m^2 (carpet, acoustic tiles).
- T60 = 0.161 * 80 / 30 = 0.43 s
V=15000 m^3, A=3000 m^2 (audience, seats).
- T60 = 0.161 * 15000 / 3000 = 0.805 s
- Full audience needed for 1.8-2.0 s target
V=100 m^3, A=80 m^2 (heavy acoustic treatment).
- T60 = 0.161 * 100 / 80 = 0.20 s
Real-World Applications
Common Mistakes to Avoid
Sabine formula overestimates T60 for highly absorptive rooms (A > V). Use Eyring formula for absorption > 0.3.
Absorption A = alpha * S (absorption coefficient times surface area). A in metric sabins (m^2).
People absorb sound (alpha ~0.5). An empty concert hall has longer T60 than when filled with audience.
Frequently Asked Questions
Related Physics Calculators
Formula Explorer connections
Interpretation: This relationship connects frequency, wavelength, speed, phase, intensity or resonance in an oscillating system. Assumption: Identify the medium, boundary conditions and reference frame. Linear waves, small amplitudes, nondispersive media or ideal resonance may be assumed.