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Two 25° involute spur gears have a module of 7 mm. The addendum is equal to one module. If the larger gear has 60 teeth and the pinion has 30 teeth, they will interfere with each other. True or false?

Two 25° involute spur gears have a module of 7 mm. The addendum is equal to one module. If the larger gear has 60 teeth and the pinion has 30 teeth, they will interfere with each other. True or false? Correct Answer False

Giveφ = 25°, t = 30, T = 60 and m = 7 mm r = mt/2 = 105 mm and R = mT/2 = 210 mm Ra = R + a = 210 + 7 = 217 mm Ra max = ((R cosφ)2 + (R sinφ + r sinφ)2)0.5 = 232.26 mm As the value of Ra obtained is less than the value of the maximum addendum radius, the interference does not occur. Hence, the given statement is false.

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