A Mach number is an expression of the ratio of your aircraft's speed to the speed of sound. The speed of sound varies with altitude.
If the speed of sound at a given altitude is 700 miles per hour (1,126.5 kilometers per hour or 312.9 meters per second) and your speed is 700 miles per hour you are traveling at Mach 1. If your speed is 1.5 times the speed of sound (1,050 miles per hour for this example) you are traveling at Mach 1.5 or, if your speed is 3/4 of the speed of sound (525 miles per hour for this example) your Mach number is 0.75.
Air pressure (barometric pressure or atmospheric pressure) is defined as the force per unit area exerted against a surface by the weight of the air molecules above that surface. Atmospheric pressure varies with weather. The average pressure at sea level is 29.92 inches of mercury or 1013.25 millibars. Air pressure also varies with altitude, becoming less as you fly higher. Weather forecasts and pilots express atmospheric pressure in inches of mercury, meteorologists speak in terms of millibars. They are different ways of expressing the same thing just I measure in inches and feet but a European or Canadian measures in millimeters and meters (a much better way, btw.).
On a bright, sunny day the air pressure will tend to be high or greater than 29.92 inches of mercury (1,013.25 millibars) as shown on a barometer.
On a dull, rainy or stormy day the air pressure will tend to be low or less than 29.92 inches of mercury.
Air pressure also varies with altitude. A barometer must be calibrated so that it shows the sea level pressure equivalent for it's altitude above sea level. An altimeter measures *only* air pressure and, if you know the local barometric pressure it will accurately tell you your altitude. Conversely, and some pilots use it this way, if you know your altitude, as on the surface of a given airport, and set your altimeter to that altitude, it will show you the ambient barometric pressure. In flight, however, you are usually traveling from an area with one barometric pressure into an area with a different pressure. Air Traffic Control (ATC) will tell you what the pressure is for the area in which you are flying - or for the airport where you are about to land - and that will allow you to set your altimeter to accurately indicate your elevation above sea level.
Hg is the chemical symbol for mercury. "Inches of mercury" is how high a column of the liquid metal mercury will rise into a vacuum, as in a mercury barometer, when "pushed" by the ambient air pressure.
I hope this helps. 😀
How come it's your last post?
Pete