Hi MGIB, Musing right along about the "best speed to use for sanding",
Ending up with hand sanding (which is slow speed) of a well tooled piece moving thru increasing grits using fresh good quality paper with the grain is probably the gold standard as there are so many variables with power sanding ...but it is too effective and convenient not to use. Here are a few variables that I think might impact "sanding speed". Just my take, not trying to be a condescending knowitall.
The timber's characteristics, the orientation of the timber's grain to the lathe and sander axes, the diameter of the piece, whether the abrasive rotates circularly or randomly or in a a linear direction with or across the grain. The abrasive itself and its backing and adhesives, The grit of the abrasive, the lubricants on the wood, the pressure of the abrasive against the piece. Whether the abrasive is driven by a power tool or by the piece itself or is hand held.
If the piece is spinning on a lathe, surface speed depends on the diameter of the piece as well as rpm of the piece and the abrasive. I'm assuming that you meant surface speed not spindle speed.
Whether the rotating sandpaper is in a random or circular orbit can be important.
Each rotation of a cross grain piece like most bowls, will present two areas that are a problem both for tooling and sanding due to tear out and scratches. They will be 180 deg apart. Probably best to sand the _problem area with the grain. Maybe by hand.
The same grits in different brands of abrasives don't cut the same. Anybody try those bargain H.F. sheets of aluminum oxide? If so, you know what Brown _can't do for you. Sandpaper is a cutting tool, not a burnisher and as with any edge tool it gets dull. We can clean its edges a little, but we can't sharpen them so it's best to replace worn abrasives. Life is too short for cheap sandpaper. I prefer Norton's 3X.
There is a difference between sanding a lubricated surface or between coats of a finish and sanding raw wood. Wiping off sanding dust between grits becomes important as the grits become finer.
When wood fibers have been burnished (pressed down) by excessive radial pressure of a dull turning tool or its bevel or by reusing dull sand paper, opposing rotations of abrasive and wood instead of climb (with the rotation) sanding is useful.
The speed at the periphery of a sanding disc is higher than near the center. BTW. are there variables that affect the 'to & fro' "speed" of a palm sander or the rpm of a belt sander relative to the wood?
I think you have to decide the "best speed" for each sanding situation. There are many strong opinions posted on rcw based on personal anecdotes or reading about someone else's anecdotes and so on. Often half truths and rigid rules are perpetuated. It's whatever works for you.
There's no always or never for sanding speed or for most anything else in woodturning and posting a personal opinion in capital letters doesn't make it so. RIGHT!! :)
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