Chapter 5, Problem 23CT

(a)

To determine

The sound, if two people shout at the same time, where shouts of a single person measure $80$ decibels. The decibel level, $D$, of sound is given by the equation $D=10\log \left(\frac{I}{I_0}\right)$, where $I$ is the intensity of the sound, and $I_0={10}^{-12}$ watt per square meter.

(b)

To determine

The number of people in the crowd that need to shout at the same time for the resulting sound level to meet or exceed the pain threshold, where shouts of a single person measure $80$ decibels. The pain threshold for sound is $125$ decibels. The Athens Olympic Stadium $2004$ can seat $74,400$ people. The decibel level, $D$, of sound is given by the equation $D=10\log \left(\frac{I}{I_0}\right)$, where $I$ is the intensity of the sound, and $I_0={10}^{-12}$ watt per square meter.