Tyco 579-769 specifications Sabine Equation, used when α, Eyring Equation, used when α

Page 17

Room Acoustics, Continued

Estimating Reverberation Times

Several equations are available for estimating the amount of reverberation that can be expected in a room. The equations take into account the room dimensions and surface materials to provide a reasonably accurate estimation of a rectangular room’s reverberation time. The formulas below are commonly used Sabine and Eyring equations:

The Sabine Equation, used when α < 0.2:

T =

0.049 V

English Units (ft)

T =

0.16 V

Metric Units (m)

 

Sα

 

 

Sα

 

Countering the

Effects of

Reverberation

The Eyring Equation, used when α > 0.2:

T =

0.049 V

English Units (ft)

T =

0.16 V

Metric Units (m)

(S) [ln (1− α)]

(S) [ln (1− α)]

Where:

V = Room Volume (L x W X H)

S = Total Surface Area (2LH +2LW + 2WH)

α= Average absorption coefficient, equal to the area of each surface multiplied by the absorption coefficient for that surface, divided by the total surface area of the room

Equation 2-7. Sabine and Eyring Formulas for Calculating Reverberation Times

Acoustical treatment:

Adding drapes, wall hangings, carpeting, or specially designed diffusers can absorb sound and reduce reverberation. If possible, this is perhaps the best method in combating reverberation.

Note: Final room acoustics are often unknown at the time of the system design.

Speaker Placement:

Because reverberation is caused by reflections, it is important to select speaker locations that minimize stray energy. Sound system designers are often heard saying “put the sound where people are and do not put sound where people are not.” This usually implies locating speakers toward the center of the room, away from walls and other hard surfaces. When possible, aim speakers towards soft surfaces such as rugs or upholstered furnishings.

These soft surfaces absorb direct sound coming from the speaker, preventing the sound from scattering throughout the room.

Continued on next page

2-7

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Contents Fire Alarm Audio Applications Guide Page Copyrights and Trademarks Page Table of Contents Emergency Voice/Alarm Communications Systems Glossary of Terms Related Publications Chapter Speech Intelligibility Overview Speech Intelligibility Importance Designing for Topic See Page # Chapter Background InformationBasic Audio Math Equation 2-3. Power RelationshipsEquation 2-1. The Decibel Equation 2-2. Ohm’s LawEquation 2-6. Adding Decibels Equation 2-5. dB and Sound Pressure LevelsRobinson and Dadson Equal Loudness Curves Sound and HearingSpeech Pattern that Illustrates Modulations Nature of SpeechRoom Acoustics Eyring Equation, used when α Sabine Equation, used when αAreas with high ceilings, specify a more directional speaker Equation 2-8. The Inverse Square Law Speaker BasicsEquation 2-9. On-Axis SPL Calculation SPL = Sensitivity + 20 logEquation 2-10. Directivity Factor Q for a Conical Source 6dB/division87dB 51º Critical Polar Angle Calculations 104Listener Height = 1.5 Meters Ceiling Coverage Diameter Equation 2-11. Coverage Area CalculationsSPL Variation by Layout Pattern Layout Pattern Selection Guide2x Edge-to-Edge Minimum OverlapDistributed Wall Mounted Systems Wall Mounted Speakers In Meters Room Coverage Width WidthOpposite Speaker Edge-edge Minimum-Overlap Full-Overlap Chapter Speech Intelligibility Frequency of Speech Contribution to Intelligibility Influences on IntelligibilityNo Noise With Added Noise Degradation of CIS vs. Signal-to-Noise RatioBackground Noise Reverberation Distortion ALcons Measures of IntelligibilityCorrelation of CIS and with STI and %ALcons STI method with faster measurement times STI-CIS Analyzer Talkbox Practical Measurement of IntelligibilityTools for Predicting Intelligibility Page Chapter Emergency Voice/Alarm Communications Systems Advantages Typical Emergency Voice/Alarm Communications SystemParts of an Emergency Voice/Alarm Communications System Class a and B Speaker Circuit Wiring Chapter Regulatory Issues From Nfpa 72, 2002 Edition AudibilityHigh Background Noise Large Areas Intelligibility Intelligibility Certification Page Chapter Speaker System Design Method Determine the speaker-to-listener distance D2 Speaker Design MethodRecommendations for Maximizing System Intelligibility ITool Office Space Example Applying the MethodsOffice Space Speaker Location Guide Corridor Design Example Corridor SPL Distribution Corridor Speaker Location GuideITool Gymnasium Example 10. Gymnasium Speaker Location Guide 13. Lobby Example 15. Lobby Layout Applying the Methods Conclusion Page Chapter Glossary of Terms Glossary Glossary Page Index IN-2 Page 579-769 Rev. C