re: Electrician Help: Direct burial wire size from house panel to feed shed 60A sub panel

Let me piggy back off of this thread

I'm wanting to run a 100 amp sub panel to my woodshop. It's 95' from my existing 200 amp panel.. So call it 125' with going underground and then back up again and through the exterior wall into the new panel. My wood shop is 26*16. I currently have it wired with 5 outlets down each side, 3 along the back, and led lights (8 sets of shop lights). I would like to have a 20 amp breaker for each side, another 20 amp for the back wall and then a 240v for a possible future investment in a large cabinet saw, probably a 5HP sawstop.

On one wall I will have drill battery chargers and a 1HP dust collection system, on the back wall is a small TV and a 110v window air conditioner that pulls 115 volts at 12 amps and then along the other wall will be a miter saw/radial arm saw/band saw/planer/jointer. None of those will run at the same time and they all pull 15 amps or less. The most that would be running at the same time would be one of the saws, the dust collector, drill battery chargers, the ac and the TV.

What size wire should I run from the existing panel out to the building that will be able to run that.