The accuracy of cutting gear teeth can be measured by fitting hardened and ground pins in diametrically opposite tooth spaces and measuring the distance over the pins. For a 10-tooth/in diametral pitch, 20◦ full-depth involute system 96-tooth gear:

(a) Calculate the pin diameter that will contact the teeth at the pitch lines if there is to be no backlash.

(b) What should be the distance measured over the pins if the gears are cut accurately?