I'm not familiar with Coote grinders. Googling for "Coote Grinder" images seems to mostly show a 2-wheel grinder with a drive/contact wheel and an idler wheel.
If I've understood it right, the belt speed on such a setup is directly proportional to the drive/contact wheel diameter, so the 6" wheel will only give 3/4 of the belt speed given by the 8" wheel, all else being equal.
This is different to a 3- or 4-wheel grinder, where the drive wheel is a fixed size, so the belt speed is constant and the contact wheel is driven by the belt at a constant surface speed. In this case, the 8" wheel would only turn at 3/4 the RPM of the 8" wheel, all else being equal. I think this is the situation Busto is describing in post #7.
If I've misunderstood, I apologize.
As Busto says on post #5, you want step pulleys on both shafts. The classic step pulleys are 2", 3", 4" and they give a driven shaft speed of 1/2, 1 and 2 times the motor shaft speed. The 3 steps keep the belt straight, so minimize transmission losses, and also keep the centre-centre distance between the motor and driven shafts constant.
If you only put a step pulley on one shaft, you usually have to engineer in a huge amount of adjustment to keep the belt tensioned and aligned. In the end it costs much more money and is much more effort than going for the second step pulley.
Other step spacings are available and may give better results in your application. Engineering-wise, it is just important that the pulleys are the same on both shafts.