20-tooth spur pinion has a diametral pitch of 6 teeth/inch and a quality standard of No 6. When the pinion rotates at 1150 rev/min, the AGMA factors of safety for bending and contact are 3 and 5, respectively. (a) If the speed is increased to 2300 rev/min, what are the AGMA factors of safety for bending and contact? (b) Is bending or contact the primary failure mode for this gear? Provide evidence with calculated values