An interstate highway has been built though a poor neighborhood in a city. In the afternoon, the sound level in a rented room is 114.0 dB as 172 cars pass outside the window every minute. (a) What is the sound intensity during the day ?
(Reminder: If you choose to use scientific notation to enter your answer, use the form 5E-4 to indicate 5 x 10-4) (b) What is the sound intensity at night? (c) What is the average late-night sound level?
Figure it out. look it up on google. Smarts
I don't understand how to do it, you don't need to be mean about it. I am asking for someone else's help.
Sorrry i was responding to facebook
But im sorry. I have no idea how to figure that out. What grade are you in where u have to answer that question??
Junior in College
A) Find intensity by using B= 10 X log (I/10^-12) formula
B) Take the answer for A multiply it by the number that it gives you for the new amount of cars that pass. Divide that number by your 172.
To solve this problem, we need to understand the relevant concepts and formulas related to sound and sound intensity.
Sound level, measured in decibels (dB), is a logarithmic scale that represents the relative loudness of a sound with respect to a reference sound level. The formula to calculate sound level based on sound intensity is:
L = 10 * log10(I/I0),
where L is the sound level in decibels, I is the sound intensity, and I0 is the reference intensity. Typically, the reference intensity is set as I0 = 1 x 10^-12 W/m^2.
(a) To calculate the sound intensity during the day, we need to first determine the sound level and then use it to find the sound intensity using the formula mentioned above.
Given:
Sound level during the day (L) = 114.0 dB
Number of cars passing per minute (N) = 172
We can calculate the sound intensity with the formula:
I = I0 * 10^(L/10)
Let's substitute the given values into the formula and solve for I:
I = (1 x 10^-12) * 10^(114.0/10)
I = 10^-12 * 10^11.4
Now, we can simplify the equation:
I = 10^-12 * 10^(11.4)
I = 10^(-12 + 11.4)
I = 10^(-0.6)
I = 0.25 x 10^-0.6
Using scientific notation, we can write:
I = 2.5 x 10^-1
Therefore, the sound intensity during the day is approximately 2.5 x 10^-1 W/m^2.
(b) To find the sound intensity at night, we need to know the sound level. However, the problem does not provide any information about the sound level at night. We cannot calculate the sound intensity specifically for the night using the given information.
(c) To calculate the average late-night sound level, we would need data on sound levels for multiple time points during the late night and then calculate the average based on those values. The problem does not provide that information, so we cannot determine the average late-night sound level using the given data.