Divide the weight of the cabinet by the number of wheels you're planning on using to figure the needed weight capacity of each wheel.
For example: 4 wheels with a 100 pound capacity per wheel should be sufficient for pretty much any upright cabinet.
Assuming even weight distribution.
Definitely.
There are times when the weight will be on three, two, or even one wheel. Example: going up/down stairs == two wheels, assuming level stairs and cab. Example 2: the floor is not quite flat == weight on three wheels. Example 3: a local bump will put a lot of the wieght on that wheel going over the bump; if the bump is heigh enough, the wheel over the bump and the one diagonal will hold all the weight with the other two lifted off the ground. Example 4: a cab weighted forward or backward of center.
There are times when the wheels will be but to more force than just the weight. Example: going down stairs, if you don't go very slow, each time the wheels get to the next step, they will feel both the weight and the momentum of the moving cab.
While I don't think one wheel
needs to be rated to hold the whole cab, it's good to have some leeway. The more you will move the cab, the more leeway you need. And the higher the quality/brand of the wheel, the more chance the wheel is under rated it's actual capacity (ie a built in leeway), so buyers don't get mad at the manufacturer when it's the buyer that calculated wrong. *shrug*
I know I'll have stairs in my cab's future, so I'm looking for wheels each having
at least 75% of the total weight; 100% would be better. OTOH, well balanced cabs, to be rarely moved, with any moving only on flat, soft, level, smooth surfaces probably can go with almost zero leeway.