you put 500 pounds on 1sq inch versus 500 pounds on 100sq inches ... it's the same "force"
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500lbs on 1sq inch = 500 lbs per sq inch
500lbs on 100sq in = 5 lbs per sq inch.
BIG DIFFERENCE
The reason we air down our rigs is one to get a larger contact area and two to decrease the tread psi contact. When you driving in a soft material (sand, mud, snow) a lower tread psi will allow you to stay on top of what every you are driving on. If you ever driven on sand and have played with air pressure you will know what I'm talking about.
So, if your driving in the snow and the snow is really deep, maby airing down your tires and flloating on top is what you need to do.
But, the most comon approch is to have fully inflated tires so that you have the most tread psi. That will help you dig throw the snow and get down to where the traction is. Also, the thinner the tire the better for tracting psi. This is one reason why a 2wd truck will go through the snow better than a cammaro with wide tires.