Two mating involute spur gear of 20° pressure angle have a gear ratio of 2. The number of  teeth on the pinion is 20 and its speed is 250 r.p.m. The module pitch of the teeth is 12 mm.  If the addendum on each wheel is such that the path of approach and the path of recess on  each side are half the maximum possible length, find :  a. The addendum for pinion and gear wheel;  b. The length of the arc of contact;  c. The maximum velocity of sliding during approach and recess. Assume pinion to be the  driver.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Two mating involute spur gear of 20° pressure angle have a gear ratio of 2. The number of 
teeth on the pinion is 20 and its speed is 250 r.p.m. The module pitch of the teeth is 12 mm. 
If the addendum on each wheel is such that the path of approach and the path of recess on 
each side are half the maximum possible length, find : 
a. The addendum for pinion and gear wheel; 
b. The length of the arc of contact; 
c. The maximum velocity of sliding during approach and recess. Assume pinion to be the 
driver.

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