Possibility for extension of the production tolerance of a cylindrical gauge by relating it to risks Type I and Type II when controlling the functional surfaces of electrical motors

It is known that gauges are scaleless alternative control tools that can control several parameters at the| same time, both fast and efficiently. Very often such are the parameters of surfaces of electrical motors. Expectedly, their usage requires a large number of parts having parameters with identical tolerance interval. From a technological point of view, the use of gauges for controlling dimensions having IT6 or having smaller tolerances is inefficient because the production of such gauges is extremely hard and expensive (they are rarely used in practice). The production tolerance for the working surfaces of gauges ranges from IT6 to IT10 for features of size up to 50 mm is about $4 \mu \mathrm{m}$, which is a complicated task even for modern cutting machine tools. The question about increasing this tolerance by several micrometers (e.g., 1-2 $\mu \mathrm{m}$) remains open or there is a requirement for admitting a specific value for the Type I ($\alpha$) error, i.e., there is a customer requirement for A Q L. This condition is normally related to the producer’s risk (the so called $\alpha$ error or a conforming part to be considered as a non-conforming one) but, of course, it is also directly related to the customer’s risk ($\beta$ error-a non-conforming part is considered as a conforming one).