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We want to reduce the output of a 10 hp engine from 1200 rev/min down to...

We want to reduce the output of a 10 hp engine from 1200 rev/min down to 500 rev/min using 20° steel spur gears with a face width of 3 times the circular pitch, and a diametral pitch of 8 teeth /in. Select a likely gear pair, keeping the numbers of teeth on any gear between 20 and 110. Assuming a quality rating of 10, a life of 10^6 cycles at 99.99% reliability, steel gears with Brinell hardness 240, determine the factor of safety based on AGMA contact stress failure for your selected gears.

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