Question

The formula for measuring sound intensity in decibels D is defined by the equation D = 10log(I/I₀) where I is the intensity of the sound in watts per square meter and I₀ = 10⁻¹² is the lowest level of sound that the average person can hear. How many decibels are emitted from a rock concert with a sound intensity of 4.7 · 10⁻¹ watts per square meter?

Answer 1

Consider the formula for measuring sound intensity;

D = 10log(I/I0)

 

Where, I0 = 10-12, and I = 4.7 × 10-1

 

Substitute the values as follows:

D = 10log(4.7 × 10-1/10-12)

 

Simplifying as follows:

D = 10log(4.7/10-12+1)

D = 10log(4.7/10-11)

    = 116.9

 

Therefore, the number of decibels emitted is 117 watts per square meter.

Therefore, the number of decibels emitted is 117 watts per square meter.