Question

If the output of 5 speakers is 100dBSPL,5 meters away what is the output of 50 such speakers 40 meters away?

Answer 1

The equation which relates the intensity of a sound wave to its decibel level is:

The equation which relates the intensity of a sound wave to its decibel level is:dB = 10 * log( I / 1.0 x 10-12 W/m2)

The equation which relates the intensity of a sound wave to its decibel level is:dB = 10 * log( I / 1.0 x 10-12 W/m2)where I = intensity of the sound in units of W/m2. Using this equation, parts a - d can be computed in straightforward fashion.

The equation which relates the intensity of a sound wave to its decibel level is:dB = 10 * log( I / 1.0 x 10-12 W/m2)where I = intensity of the sound in units of W/m2. Using this equation, parts a - d can be computed in straightforward fashion.a. dB = 10 * log( 1 x 10-5 W/m2 / 1.0 x 10-12 W/m2) = 70. dB

The equation which relates the intensity of a sound wave to its decibel level is:dB = 10 * log( I / 1.0 x 10-12 W/m2)where I = intensity of the sound in units of W/m2. Using this equation, parts a - d can be computed in straightforward fashion.a. dB = 10 * log( 1 x 10-5 W/m2 / 1.0 x 10-12 W/m2) = 70. dBb. dB = 10 * log( 1 x 10-2 W/m2 / 1.0 x 10-12 W/m2) = 100. dB

The equation which relates the intensity of a sound wave to its decibel level is:dB = 10 * log( I / 1.0 x 10-12 W/m2)where I = intensity of the sound in units of W/m2. Using this equation, parts a - d can be computed in straightforward fashion.a. dB = 10 * log( 1 x 10-5 W/m2 / 1.0 x 10-12 W/m2) = 70. dBb. dB = 10 * log( 1 x 10-2 W/m2 / 1.0 x 10-12 W/m2) = 100. dBc. dB = 10 * log( 6.1 x 10-6 W/m2 / 1.0 x 10-12 W/m2) = 68 dB

The equation which relates the intensity of a sound wave to its decibel level is:dB = 10 * log( I / 1.0 x 10-12 W/m2)where I = intensity of the sound in units of W/m2. Using this equation, parts a - d can be computed in straightforward fashion.a. dB = 10 * log( 1 x 10-5 W/m2 / 1.0 x 10-12 W/m2) = 70. dBb. dB = 10 * log( 1 x 10-2 W/m2 / 1.0 x 10-12 W/m2) = 100. dBc. dB = 10 * log( 6.1 x 10-6 W/m2 / 1.0 x 10-12 W/m2) = 68 dBd. dB = 10 * log( 2.2 x 10-4 W/m2 / 1.0 x 10-12 W/m2) = 83 dB

The equation which relates the intensity of a sound wave to its decibel level is:dB = 10 * log( I / 1.0 x 10-12 W/m2)where I = intensity of the sound in units of W/m2. Using this equation, parts a - d can be computed in straightforward fashion.a. dB = 10 * log( 1 x 10-5 W/m2 / 1.0 x 10-12 W/m2) = 70. dBb. dB = 10 * log( 1 x 10-2 W/m2 / 1.0 x 10-12 W/m2) = 100. dBc. dB = 10 * log( 6.1 x 10-6 W/m2 / 1.0 x 10-12 W/m2) = 68 dBd. dB = 10 * log( 2.2 x 10-4 W/m2 / 1.0 x 10-12 W/m2) = 83 dBe. The intensity is 4 x (2.2 x 10-4 W/m2 ) or 8.8 x 10-4 W/m2 ; so the decibel rating is 89 dB.