One method in which gear tooth interference can be avoided is tolengthen the pinion teeth and shorten the gear teeth. A 12 toothpinion with a diametral pitch of 2 teeth/in and a pressure angle of(φ = 20°) is to be meshed with a 60 tooth gear at a center distanceof 18 inches. Calculate the maximum addendum length of the gearteeth if there is to be no interference. Then calculate theaddendum length of the pinion which will give a contact ratio of1.6 if the maximum addendum length of the gear is used.