Basically the power needed to drive a machine tool is related to the metal being cut and how fast you want to remove it. A small motor can do the same amount of work as a big one, it just takes a lot longer!
How much work is required to remove a cubic millimetre of common metals:
Aluminium Alloys – 0.3 to 1J
Brass and Bronze – 1.3 to 3.2J
Cast Iron = 1.1 to 6J
Steel = 1.9 to 9.2J
It takes about 2 Joules to remove a cubic millimetre of mild-steel and a Joule is a Watt-second.
Examples:
Grinding 100 cubic millimetres off a mild-steel bar would take a 500W belt grinder:
(2.0 * 100 ) / 500 = 0.4 seconds
A 2500W belt grinder could do the same job in:
(2.0 * 100) / 2500 = 0.08 seconds
Knife grinders work with hardened steel, say 8 Joules per cubic millimetre. Shaping the blade of a largish knife, which might include grinding fullers, means removing a lot of metal – perhaps half a blank. A 200x6x40mm blank might need 24000 cubic millimetres to be removed. On a 500W grinder:
(8.0*24000) / 500 = 384 seconds
With 2500W
(8.0*24000) / 2500 = 76.8 seconds
Makes sense for someone making lots of chef's knives out of old farrier rasps to own a powerful grinder. The same machine isn't an intelligent choice for someone doing occasional light work in brass and mild-steel, or someone who needs the grinder for sharpening rather than serious metal removal.
When buying tools I always ask myself what it's for. Usually there's a huge gap between what I want, (a pristine tool-room Dean, Smith and Grace), and what I need ( a mini-lathe ). 45 years ago an old chap bent my ear about the inexpensive Japanese socket set I'd just bought. He told me cheap rubbish like that is a waste of money because it won't last. 8 or 9 old-bangers later, the set is still in perfect condition today. Buying the quality socket set recommended by the old chap would have been a complete waste of money.
But I do recognise that pride of ownership is important to many. If spending time and money on good tools is your thing, go for it! But don't tell the wife or your accountant!
Dave