Enter the initial and final intensity of road noise in decibels (dB) to calculate the distance from the road where the noise level is observed.

Road Noise Distance Formula

The following formula is used to calculate the distance from the road where a certain noise level is observed:

D = 10^{((I_i - I_f) / 20)}

Variables:

  • D is the distance from the road (meters)
  • I_i is the initial intensity of road noise (dB)
  • I_f is the final intensity of road noise (dB) at the distance D

To calculate the distance from the road, use the initial and final intensity levels of the road noise in decibels. The formula accounts for the logarithmic nature of sound intensity and distance.

What is Road Noise Distance?

Road noise distance is the measure of how far away from the road a certain noise level is observed. It is an important factor in urban planning, noise pollution studies, and for determining the impact of road traffic on surrounding areas. The noise level decreases as the distance from the road increases, and this relationship can be quantified using the inverse square law for sound propagation.

How to Calculate Road Noise Distance?

The following steps outline how to calculate the Road Noise Distance.


  1. First, determine the initial intensity of road noise (I_i) in decibels (dB).
  2. Next, determine the final intensity of road noise (I_f) in decibels (dB) at the desired distance.
  3. Next, gather the formula from above = D = 10^((I_i – I_f) / 20).
  4. Finally, calculate the distance (D) in meters.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

Initial intensity of road noise (I_i) = 80 dB

Final intensity of road noise (I_f) = 60 dB at the distance D