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The output shaft of a 120 Watt electric motor has a 20° full-depth steel spur pinion...

The output shaft of a 120 Watt electric motor has a 20° full-depth steel spur pinion with 20 teeth and a module of 2.5 mm driving a 36-tooth gear attached to an air blower. The pinion speed is 100 rpm. Both the pinion and gear are manufactured from grade 2 steel using hobs shaping cutters, have a 18mm wide face, through-hardened steel at 200 Brinell, and are aligned in service such that kH = 1.6. For a service life of 108 cycles, a reliability of 99%, determine the bending fatigue stress and the associated factor of safety

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