I think your loosing it , the speed of sound is not relevant.

it is the speed that air will travel that is relevant.

d100 = 689,475Pa/(287.058J kg−1 K−1 * 293K)

could you go back to the page where you copied the above
work that someone else did , and insert the correct characters.

so it will be ledgible.

Originally Posted By: ImageingGeek

Actually, the speed of sound is neither a constant, nor is it just the "speed that sound can travel at". The speed of sound varies with the physical makeup of the medium and its temperature. Different mixtures of gasses will have different speeds of sound - for example, the speed of sound in air is highly dependent on the amount of water vapor present. its also dependent on temperature.

The speed of sound is also the maximum speed that a gas can flow at under its own pressure. The speed of sound is determined by a gasses elastic modulus. That same elastic modulus also defines the back pressure of a flowing gas, and thus the degree to which a gas can accelerate itself due to its own pressure.

as in the rocket nozzle the gasses are NOT under their own pressure ,,,,, they are COMPRESSED GASSES.

just like in the air tank the air is COMPRESSED not under its own pressure.

so either your right and we have never launched a rocket
Im right and we have...

havent you ever seen an aircraft pass the sound barrier?
how do you think it reached that speed , with slower than the speed of sound gasses flowing out of the nozzles?

And once again paul shows he doesn't even read his own sources. Even your own source confirms Pe-Pa is the pressure force, not the force due to nozzle acceleration.

and it also states that m*Ve is the momentum and velocity thrust.

and the calculations below show the the m*Ve thrust is much larger than the Pe-Pa thrust.

did you happen to see that part , I have alreasdy covered it for you in a earlier post.

3/4 inch of dust build up on the moon in 4.527 billion years,LOL and QM is fantasy science.