00:01
Intensity is an interesting concept because it's based both on the loudness of a source as well as the distance from a source that a listener is.
00:09
Now, the equation that represents this is our decibel equation, which tells us that the decibles of a sound are equal to 10 times the log of its intensity divided by the reference intensity, which is the threshold of hearing for humans, and that i not value that threshold of hearing is a constant 10 to the negative 12 watts per meter square.
00:35
That's the softest sound you should be able to hear, assuming you have good hearing.
00:41
Now question a is asking us to find the decibel level of a sound that has a source of 7 .5 times 10 to the negative 3 watts per meter square.
00:52
So when i plug that into my equation, we have decibels equals 10 times the log of 7 .5.
01:00
Point five times 10 to the negative 3 watts per meter squared divided by that constant 10 to the negative 12 watts per meter squared.
01:11
And when we plug that into a calculator, we get our decibels out of 98 .75 decibels.
01:19
It's a pretty loud sound there.
01:22
Part b is looking to find the sound intensity at a distance of 35 meters, assuming the sound propagates, as a spherical wave.
01:33
Now in order to answer that part, we first need to figure out the actual power source of the speaker...