A pair of spur gears with $${20^ \circ }$$ full-depth involute teeth is used to transmit $$3.5$$ $$kW$$ of power. The pinion rotates at $$700$$ $$rpm$$ and has pitch circle diameter of $$100$$ $$mm.$$ Assuming a single pair of teeth in contact, the total force acting on a gear tooth (in $$kN$$) is

A helical gear with involute tooth profile has been machined with a disc-type form gear milling cutter. The helical gear has $$30$$ teeth and a helix angle of $${30^ \circ }$$. The module of the gear milling cutter is $$2.$$ The pitch circle diameter (in $$mm$$) of the helical gear is _______.