Dimensional Analysis - Speed of sound in a gas

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David226226
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Report Thread starter 2 months ago
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I am looking for some help with a question in my engineering maths course. I have to a point where I am not sure where to go from here.

I have attached where I have gotten to so far.

Any help with this would be greatly appreciated.

The question is:

You are testing a prototype loudspeaker for your Audio division, which may possibly be used in smoke-filled environments when nuclear reactor emergencies occur. A senior colleague has asked you to use dimensional analysis to predict how the speed of sound (u) in a gas may be influenced by the gas pressure (p), gas density (r) and acceleration due to gravity (g).
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David226226
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#2
Report Thread starter 1 month ago
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Ok I think I may have figured it out. I have attached my workings.

I someone could look this over for me to make sure that it is correct it would be greatly appreciated.
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