If one wanted to find the intensity of the sound inside and automobile travelling at that has an intensity level of 75 dB one would follow the same procedure mentioned previously to find intensity. In addition to this method one can use a graphing calculator in order to make the finding of I simpler. By following the procedure one can use a Ti-82 graphing calculator to find the intensity I of a sound by knowing the intensity level b. The function used is just all the steps followed above summarized into one function. Enter
By the use of the calculator, one finds the correct response in a quicker fashion than by working the problem out. However, in order to prove that the answer provided by the calculator is correct one should always work out the problem by hand. dB
Source of SoundIntensity Level (dB)Intensity ( )
Jet plane at 30m140 *
Threshold of pain120*1
Loud indoor rock concert120 *
Siren at 30m100*
Busy street traffic70 *
The chart above is provided in order to assist in determining the relationship between Intensity Level (dB) and Intensity ( ). The values denoted by an * are values that were inserted during the investigation for this project. The process to find the values of Intensity with a given Intensity Level was already mentioned, but the process in order to find Intensity Level by knowing the Intensity of a sound was not. In order to find intensity level beta (b) from the equation one just takes the logarithm of and multiplies it by ten. The finding of the intensity level of a quiet radio by knowing its intensity will be the example to test the method.
After carrying out this process and the other to find all the missing values, a relationship between the increase of the values can be discerned. By carefully analyzing the table above, it can is concluded that while Intensity Level increase ten units, Intensity increase 10 times. By using a graphing utility to graph this can be easily noticed. By looking at the change in the graph between points (1,120) and (10,130) it is seen how the X-values (Intensity) increase ten times and how Y-values (Intensity Level) increase 10 units.
Given the formula it is very simple to show that the relationship holds true. In order to show that it is true, one must create two functions, and . is nothing but the original formula, and has the intensity I multiplied by 10. This multiplication by ten is meant to help prove that when I increases by ten times, B...