A spur gearset has a pinion speed of 1120 rev/min. there are 17 teeth on the pinion and 51 teeth on the gear. the pressure angle is 20 deg and the overload factor ko=1 the diameteral pitch is 6 tetth/ in and the face width of 2 in the pinion cycle life is to be 108 rev at a reliablity of 0.99. the quality number is 5. the material is a through hardened steel, grade 1 with brinell hardness of 232 core and case of both gear. for a design factor of 3 what is the capacity in hp of the pinion cnosidering only bending Ks=1