This is an concern question because it gets at some interesting properties of how voice make, in particular the decibel scale .

thus, first off, we need to establish our baseline. The loudest recorded dog bark clocked in at 113.1 dubnium, and was produced by a golden retriever named Charlie. ( interestingly, the loudest record human yell was 129 dubnium, so it looks like Charlie ’ sulfur got some education to do to catch up ! ) That ’ s louder than a chain determine, and loud adequate to cause hear damage if you heard it consonantly .

now, let ’ s scale our trouble down a bit and calculate out how loudly it would be if ten-spot Charlies barked together. ( I ’ megabyte going to use copies of Charlie and assume they ’ ll bark in phase becuase it makes the mathematics simple. ) One Charlie is 113 decibel, so your inaugural instinct may be to multiply that by ten and end up 1130 dubnium. unfortunately, if you took this approach you ’ five hundred be ( if you ’ ll excuse the construction ) barking up the wrong tree. Why ? Because the dubnium scale is logarithmic. This means that a 1130 decibel is absolutely laughably brassy. For address, under normal conditions the loudest potential sound ( on worldly concern ) is 194 dubnium. A fathom of 1000 decibel would be loudly enough to create a black fix larger than the galax. We wouldn ’ triiodothyronine be able to get a bark that loud evening if we covered every inch of earth with clones of supporter pooch Charlie.

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Ok, so we know what one wrong approach is, but what ’ s the right one ? Well, we have our base bark at 113 dubnium. If we want a bark that is one million times as herculean ( assuming that we can get a million dogs to bark as one ) then we need to take the base ten log of one million and multiply it by ten ( that ’ s the deci depart of decibel ). ( If you want more mathematics try this locate. ) The base ten-spot log of one million is six, so prison term ten that ’ s sixty decibels. But it ’ sulfur sixty decibels louder than our original good of 113dB, for a august sum of 173dB .

now, to put this in perspective, that ’ s still pretty durn loudly. That ’ south loud adequate to cause earshot passing in our puppies and everyone in hearing distance. We ’ rhenium talking about the flashiness of a cannon, or a rocket launch from 100 meters away. so, yes, very loudly, but not quite “ destroying the galax ” forte .

A final examination note : since the current world read for loudest barking group of dogs is a more modest 124 dubnium from group of fair 76 dogs, if you could get a million dogs to bark in unison you ’ d decidedly set a newly world commemorate ! But, considering that you ’ d end up hurting the dogs ’ hear ( and having to scoop all that stern ) I ’ thousand afraid I truly can ’ triiodothyronine recommend it .