Question

If the intensity level of one trombone is 70 dB, calculate a reasonable estimate for the intensity level of 76 trombones all playing simultaneously in the same place

Answer 1

β₂ = 88.8 dβ

Step-by-step explanation:

The intensity of the sound is

β = 10 log (I / I₀)

The sensitivity threshold (I₀) for humans is 1 10⁻¹² W / m²

I = I₀
`10^(\beta /10)`

I = 10⁻¹² 10^{70/10}

I = 1 10⁻⁵ W / m²

The total intensity for the 76 trombones is

I_total = n I

I_total = 76 1 10⁻⁵

I_total = 76 10⁻⁵ W / m²

Let's find the sound level

β₂ = 10 log (76 10⁻⁵ / 10⁻¹²)

β₂ = 88.8 dβ