gen-define-reverberation-time-and-give-one-short-worked-example-5b34

Define reverberation time and give one short worked example.

# Reverberation Time **Definition:** Reverberation time (RT₆₀ or T₆₀) is the time required for sound pressure level to decrease by **60 decibels** after the sound source stops. It measures how long sound persists in an enclosed space. ## Formula **Sabine's Equation:** $$T_{60} = \frac{0.161 \times V}{A}$$ Where: - T₆₀ = reverberation time (seconds) - V = room volume (m³) - A = total absorption (m² Sabine) - A = Σ(S × α) where S is surface area and α is absorption coefficient ## Worked Example **Problem:** Find the reverberation time of a rectangular room with dimensions 10m × 8m × 3m. The walls, floor, and ceiling have an average absorption coefficient of 0.25. **Solution:** 1. **Calculate volume:** - V = 10 × 8 × 3 = 240 m³ 2. **Calculate total surface area:** - S = 2(10×8) + 2(10×3) + 2(8×3) - S = 160 + 60 + 48 = 268 m² 3. **Calculate total absorption:** - A = S × α = 268 × 0.25 = 67 m² Sabine 4. **Calculate reverberation time:** - T₆₀ = (0.161 × 240) / 67 - **T₆₀ = 0.58 seconds** This relatively short reverberation time would be suitable for speech clarity.