A pair of parallel helical gears has 14.5° normal pressure angle, 6 diametral pitches and 45 helix angle. The pinion has 15 teeth and the gear 24 teeth.  Calculate the transverse and normal circular pitch, the normal diameteral pitch, the pitche diameters, and the equivalent tooth numbers.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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PROBLEMS 1. A pair of parallel helical gears has 14.5° normal pressure angle, 6 diametral pitches and 45 helix angle. The pinion has 15 teeth and the gear 24 teeth.  Calculate the transverse and normal circular pitch, the normal diameteral pitch, the pitche diameters, and the equivalent tooth numbers.  2. A pair of parallel helical gears are cut with a 20°normal pressure angle and a 30° helix angle. They are 16 diametral pitch have 16 and 40 teeth, respectively. Find the transverse pressure angle, the normal circular pitch, the axial pitch, and the pitch radii of the equivalent spur gears.

3. A parallel helical gears is made with a 20° transverse pressure angle and a 35° helix angle. The gears are 10 diameteral pitch and have 15 and 25 teeth. respectively. If the face width is 3/4 in, calculate the base helix angle and the axial contact ratio. 

4. A helical pinion is right-hand, has 12 teeth, a 60° helix angle, and is to drive another gear at a velocity ratio of 3. The shafts are at a 90° angle, and the normal diameter pitch of the gears is 8. Find the helix angle and the number of teeth on the mating gear. What is the center distance?

5. A right-hand helical pinion is to drive a gear at a shaft angle of 90°. The pinion has 6 teeth and a 75° helix angle and is to drive the gear at a velocity ratio of 6.5. The normal diametral pitch of the gears is 12. Calculate the helix angle and the number of teeth on mating gear.

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