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Sonic boom at pressure



Hello,

Students of mine (HS) are exploring the way to simulate a sonic boom at
low atmospheric pressure. The argument behind it is since the speed of
sound decrease with density, a sonic boom might be easier to simulate in
a lower pressure system.

We've look at one formula that gives a relationship between temperature,
density and speed of sound in air but couldn't find one with Pressure,
density and speed.


We've hit a wall...

Can the project be done ?

What is the relationship between Pressure-density-speed ?

What is the meaning of the 1.4 constant of air in the temp-density-speed
equation ?

Thanks,

Mathieu Dubreuil
science teacher
Poite-Claire high school
Quebec