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Blender - (10) Sec: making Whal smoothie is the produces What = intensity of the sound? sound intensity level will ol 83 dB the be the first sound One? intensity...

Question

Blender - (10) Sec: making Whal smoothie is the produces What = intensity of the sound? sound intensity level will ol 83 dB the be the first sound One? intensity of more blenders are turned On simultaneously WithTotal (10)

blender - (10) Sec: making Whal smoothie is the produces What = intensity of the sound? sound intensity level will ol 83 dB the be the first sound One? intensity of more blenders are turned On simultaneously With Total (10)



Answers

use the definition of the decibel level of a sound (see Exercise 51 ). According to one source, the noise inside a moving automobile is about $70 \mathrm{dB}$. while an electric blender generates 93 dB. Find the ratio of the intensity of the noise of the blender to that of the automobile.

So we see here that, um this is that a certain level Decibels intersex at 0.2 0.2 And then we have this value right here, which, if we zoom in, um, doesn't give us enough of the specific, so we can we can solve for it. Um, or we can zoom in a little closer to determine. So if we zoom in here, we see its 0.0 one of the airplane. Yes. So if we take, they would call this, Um, this was the first value. So this was the A car equals this and right, because this is the current here, and this is the lender. If we take e divided by C is approximately 200.

Hi. And this given problem intensity level of the sound that is given as Byetta Is equal to 60. Well you the C Bill. So using an expression for The intensity level of the sound. In terms of sound intensity beta is equal to 10 times of log of the ratio of intensity of the sound at the observation point I bet uh threshold intensity level And here this threshold intensity level it is having a fixed value of one into 10 par -12 what four m square. Yeah. So here in this problem if the intensity is doubled means I dash if it is equal to device off I then the intensity level of the sound will be given by B to dash Is equal to 10 times of log I I dash by by not by not will remain the same. So here it will be then times of log who I I I not which may also be ordinance the to dash is equal to and times of using the product rule of logarithms here it will become log too less log I buy I not expanding this bracket, this is 10 times of log too Plus 10 times of log I buy I not hear this 10 times of log I buy I notice nothing but the original intensity level of the sound which is 65. No, the value of log at best and That is 0.3010 Plus 65. And that will be invisible. So here it is 3.01 Plus 65 Daisy Bell or finally we can say this is 68.01 there, see Bill, which is the answer for the given problem here. Thank you.

Good day. The topic is about expressing intensity levels in terms of decibel, in terms of testable, we find the intensity level are also called the sound level as 10 times log to the base 10 of I where I is the intensity in what's per meter squared Over 10 to the -12. Suppose we have a machine which sound level is equal to 80 decibels. We wish to find the sound level when there are two machines working. These two machines we say are identical and that are placed in the same location. So we find first, We established 1st formula for The sound level or the intensity level for one machine. So that will be 10 knock off and well to the best end of I Over 10 to the negative and that I suppose I went Which means which means intensity for one machine And this we know is equal to 80 decibels. Now when there are two machines working, it's not that they're less of us will end up rather their intensities. So we say that when there are two machines working, that will be twice the intensity of sun. So we say two times the intensity when there is just one machine. So you sold 40 Sounded well for two machines. So he made us when might want to put They will be one for this. So that's going to be be two of equals 10 Log off the west end of a two Over 10 to the -12. So let's simplify by noting that I do is twice as I went. So that we we tend to the love to the waist and of two, I went over 10 to the negative. Now let us recoil dog property. That says when you have plug off the product of A and B. You can have that as the sum of the logs of A. Andy. And so this becomes me too then so I'm factoring out then here and I can decompose. Yeah To the best kind of two, I Over 10 to the negative to help us block off, knock off To the base 10 plus lock off I over 10 to the negative 12 To the best dug up by one Over 10 to the -12 to the base 10. So not that if you combine this again, you will certainly get Love to the Baseline of two. I won over 10 to the -12. Right? So now we have 10 and we can execute this log to the based end of to the calculator That that gives us 0.13 and recall that this uh term here which are we went first Express in a way that we factor in 10. So factoring then. So that will be 10 times 100.30, that's 10 times throughout. Mhm I went over 10 to the -12 to the base 10. So this went here. Yes, your Sound level or intensity level for one. Type pissed by one Machine rather. So that's equal to 80 decibels. Hence this one is equal to eat you. And so The intensity level for two machines will not be 10 times .30 plus 80 And that's equal to 83 disciples. So for two machines now working The sound level will be equal to 83 does not necessarily twice the development. There is just one, so I hope this helps.

Question 43 states that the geologist, uh Richter defined the magnitude of an earthquake as log base 10 of IOS, where I is the intensity and as is the intensity of a standard earthquake, which is just one micron. Uh, in 1990 1989 the Loma Prieta earthquake in San Francisco had a magnitude of 7.1 on the Richter scale. Uh, and then the 19 oh, six earthquake then was 16 times the intensity of the 1989 earthquake. So they want you to find out what was the magnitude on the Richter scale then of the 19 oh six. Starting off, we can use that information to say that 7.1, the magnitude is equal to log base. 10 of I over s as here is just one. So using, um, are log properties. We can say 10 to the 7.1 is just equal to IR intensity. Um, and that intensity would be just 10 to 7.1. From there, we can use this formula again for our other um, earthquake, the 19 oh six. So log base 10. Ah, The intensity they told us is 16 times so Now that we know that first intensity to be 16 times 10 to the 7.1 is equal to our magnitude of this earthquake, which is going to be 8.3. And that is your answer to question for you.


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