1. A gearset is composed of two gears with made from grade two steel (HB=250). The first gear has 55 teeth, a diametral pitch of 4, and a pressure angle of 25 deg. The teeth are full depth teeth with tip loading. This gear is attached to a uniform, electric motor with no shock. The power is 25HP at 2000 rpms. The second gear has 35 teeth. Assume a face width for both of 12/Pd. Assume the gears have a quality index of 7 and will be used continuously for 1 year before replacement. What is the safety factor for this gear set? Does it fail before replacement? Will the failure sudden and catastrophic, or will there be warning before failure? Assume a reliability of 99%.