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

See explaination

Explanation:

From the following,(see attachment) we have the values of factor of safety for both cases

coming to primary mode of failure will be the one with a lower factor of safety which is bending

We have taken the preliminary design approach as we don't have enough data and a quality standard of 6 for pinion is provided to distract us to go for final design approach.

But as we are not aware about the quality standard for gear, face width, power, etc so it is not possible to go with final design approach

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