00:01
All right, so we're told at a rock concert, the volume levels of a speaker that is emitting sound at a distance of, let's see, 2 .2 meters from the speaker, the volume level is 130 decibels.
00:17
And so we want to know what is the power output of the speaker, assuming a spherical spreading of the sound.
00:22
So what we have is like the decimal reading, we'll call us 130 dbs, is equal to 10 times the logarithm, and base 10 of the intensity of the speaker divided by a reference intensity, which is like 10 to the negative 12 watts per square meter.
00:39
I'm like that.
00:41
So if we divide both sides by 10, of course, we'll have 13 as equal to the logarithm.
00:47
Oops.
00:48
13 is equal to the logarithm of i.
00:51
And we'll write this as like 10 to the 12th times i.
00:54
I'm going to admit the units just for a moment.
00:57
Hopefully that's forgivable.
00:58
And so if we raise both sides to the power, the 10th power, 10 to the, the 13th equals 10 to the 12th times i.
01:08
And so we can see that i is just going to be 10, and the units would be watts per square meter.
01:15
So that's the intensity of sound at this point...