A steel pinion having a diameter of about 254 mm meshes with a steel gear which turns at 1/3 the angular speed of the pinion.

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A steel pinion having a diameter of about 254 mm meshes with a steel gear which turns at 1/3 the angular speed of the pinion. The torque of 3,222 kg–cm(18,000 lb-in). The angle of cut of the teeth is to be 20°. Assume the width of the face to be a times the normal pitch, the normal diametral pitch to be 4, and the Grinnell Hardness of gear and pinion to be 200 and 250 respectively. The teeth to be 14 1/2° composite form.

DETERMINE:

a. The normal diametral pitch of the teeth.

b. Number of teeth required.

c. The hardness of the gear and pinion.

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