Polishing is a game of attrition. You keep going over the surface again and again, each time the surface imperfections get smoother and smoother. You'll bring a shine to the metal fairly quickly (2-3 passes), but the clarity of the reflection only comes with repetition.
This sounds insane, but it's what it took for me to get my plane shinny. I do three passes with F9 compound on the tufted wool pads attached to a harbor freight rotary buffer, generally following Kerry's video for amount of polish and buffer technique. After 3 passes I clean the surface well using a microfiber towel and a spray bottle of mineral spirits. I repeat this basic procedure of 3 passes and clean 4 or 5 times to get the clarity I'm looking for. It gets to a point of diminishing returns. Each pass still takes just as long, but the improvement starts to become VERY small. At some point you'll cry uncle, and that's the point to switch to Nuvite C. Three passes with C is plenty, and clean as needed with fresh microfiber towels and mineral spirits. At this point the surface looks nice, but has small swirl marks still from the rotary buffer.
The final step is to use a cotton terrycloth bonnet and a large 10" dia random orbital polisher with very small dabs of C. This will take 1-2 applications to get the swirl marks out. You can repeat this as many times as necessary, but other than taking out swirl marks, it won't lead to any other noticeable improvement.
Switch the pads or bonnets to fresh ones whenever they look like they're getting really dirty or clogged (about 10 passes or so). Dirty pads just soak up the fresh polish, and the rate of productivity goes way down. Clean them by scrubbing them with your fingers using Dawn liquid dish washing soap and lots of warm water to get the majority of gunk out, then run them though the washer using only a small amount of Tide or similar detergent. Let air dry overnight. They won't look new, but it's a lot quicker process than soaking and washing numerous times, so it works out better in the end.
If you figure an hour of effort per sq ft, that might be in the ball park as a planning factor. If you polish prior to assembly while the sheets are laid flat this will undoubtedly shorten this. My plane was already assembled by the time I started polishing, so that's what I had to work with. This is also why half my plane is half painted - I couldn't stand to do more polishing!
The parts I use are below.
https://www.harborfreight.com/7-in-10-a ... 60626.htmlhttps://www.harborfreight.com/7-1-2-hal ... 90451.htmlhttps://www.perfectpolish.com/product/nuvite-f9/https://www.harborfreight.com/10-in-ran ... 61898.htmlhttps://www.harborfreight.com/2-piece-1 ... 43431.htmlhttps://www.perfectpolish.com/product/nuvite-c/One last note about other polishing equipment. The Nuvite Cyclo dual-head polisher is really great at putting a shine on the plane. Due to it's small heads though, it's a bit slower at first. The unit is well made and will last forever. I started using this polisher, but later stopped because my kids wanted to help. They simply couldn't manipulate the larger, heavier tool, so I switched to the lighter Harbor Freight tools. They're not as good, but they're inexpensive (I have 2 of each), and good enough to deliver acceptable results.
https://www.perfectpolish.com/cyclo-pol ... -aluminum/Jeff