A tool post grinder will always leave a radius, size based on grit of wheel. And most TP wheels are 46 -60 so the radius is not small. Google to find radius.
have a look at the grinding wheels that are used on chainsaw electric sharpeners , they are about 4"dia and only about 1/8" wide , the one i have has a 7/8" arbour and is good for 7800rpm .
johno
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