I recently removed some minor scratches from sand and typical micro swirl marks from normal cleaning on the out side of my acrylic tank. All the products used was from Meguiars, 3M and recommended by ‘Floyd’ One of the acrylic gurus on RC the job turned out flawless. As for sanding I used the pre-cut 3M assorted pack, wet or dry sandpapers with Meguiars E 7200 backing pad.
IMO you have more control (removal of acrylic) wet sanding scratches by hand then with any orbital sanders as your not dealing with deep scratches or gouges, most of the time. For my needs, medium-light scratches I started out with 800 stepped up 1000, 1500, 2000 feathering out as you go then polished with M105 Ultra-Cut Compound and cut pad, once sanding haze is removed finish off with M9 Mirror Glaze Swirl Remover and polishing pad, you‘ll need a 3”stitch wheel for the inside corners, bottom/top corners.
Micro swirl marks on the outside was simply polished with compounds, no sanding. Clean the Meguiars pads with an old tooth brush in-between applications of compound (spin buffer and apply bristle across pad) and when your finished. That way they will last and can be reused down the road. It cost me about hundred buck for the products but I ended up with a professional looking job, like new out of the box. No haze, swirl marks or blims worth every dollar.
I also maintain the outside of the tank with Brillianize and a micro fiber cloth. Gently tack with damp(water) micro fiber cloth to remove dust, ext. let dry then apply Brillianize. Changing the way I now clean and maintain my tank has made a world of difference in the optical quality of the acrylic.
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You can look up products I used below on Amazon.
Meguiar's Self-Centering 8-Inch Rotary Buffer Backing Plate
Meguiar's 8-Inch Soft Buff Foam Cutting Pad (Red Pad)
Meguiar's 8-Inch Soft Buff Foam Polishing Pad
Woodstock D2509 Buffing Wheel, Soft Muslin 3-Inch by 40 Ply by 1/4-Inch Hole (The stitch wheel is for the inside corners)
Meguiar's M105 Mirror Glaze Ultra-Cut Compound - 32 oz.
Meguiar's M9 Mirror Glaze Swirl Remover - 16 oz.
Meguiar's Hi-Tech Sanding Backing Pad
3M(TM) Wetordry(TM) Sandpaper, 03006, 3-2/3 in x 9 in, Assorted, 5 sheets per pack
3M 03022 Imperial Wetordry 3-2/3" x 9" P800 Grit Sandpaper, (Pack of 5)
3M 03018 Imperial Wetordry 3-2/3" x 9" P400 Grit Automotive Sandpaper, (Pack of 5)