If you know two air pressures with a certain amount of area between them (E to W), is it possible to find...?

Question

...the velocity of an air parcel moving in that path ignoring any other forces (like Coriolis, etc.)? I think Bernoulli's equation might work here but I'm not sure.

Answer 1

Put this question in "weather", and get answers from meteorologists.
I believe you are correct in naming Bernoulli, but I am not sure how to "calculate" the wind speed.
The higher the difference in pressure, the faster the wind (logical!), but you cannot discard completely the Coriolis effect if you are looking at a large area.
As a pilot, we use the isobars and their separation to have a good idea of the winds. However, the LATITUDE itself does make a serious change. You can see that on the isobars if you go to this site: www.wetterzentrale.de/pics/bracka.html.
The closer you get to the equator, the more the Coriolis effect influences the results.