Problem $1(50$ points$).$ An uncrowned straight$-$bevel pinion has $30$ teeth, a diametral pitch of $6,$ and a

transmission accuracy number of $6.$ The driven gear has $60$ teeth. Both are made of No$.30$ cast iron. The

shaft angle is $90$o$.$ The face width is $1\mathrm{.}25$ in$,$ the pinion speed is $900$ rev$/$min$,$ and the normal pressure

angle is $20$o$.$ The pinion is mounted outboard of its bearings; the bearings of the gear straddle it$.$ What is

the power rating based on AGMA bending strength? $($For cast iron gearsets reliability information has

not yet been developed. We say life is greater than $107$ revolutions; set KL $=1,$ CL $=1,$ CR $=1,$ KR $=1$; and

apply a factor of safety. Use SF $=2$ and SH $=2.)$

For the above gear set and conditions, find the power rating based on AGMA surface durability.

What is the overall power rating of the gearset?