Is there any way to test a breaker?

For what its worth, my very old Craftsman table saw has tripped the 110-20 amp breaker from time to time. It's a cable driven blade so no belt to slip.
My compressor ( very old Sanborn Black Max 5 hp ) has always been wired on a 220-30 amp double pole and never ever tripped that breaker.
They always say the older stuff is better. The specs on this compressor aren't matched by anything out there that I can find, so I would like to keep it.

I feel like a dufus for not noticing that it was only a 20 amp breaker, but I wasn't using my compressor for more than inflating tires for the longest time. The downside to rechargeable battery power tools. My mig never had a problem, but I wasn't welding heavy stuff, either. By the time I noticed, my "friend" went all vapor on me.

Such as life.