Answered: A gear has 44 teeth of the 20°,…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A gear has 44 teeth of the 20°, full-depth, involute form and a diametral pitch of 12. Compute
the following:

Please help find the helix angle

Expert Solution

Step 1

The helix angle of a gear is the angle between the gear's axis and the direction of the helix formed by the tooth profile as the gear rotates. It is used to determine the lead or helical direction of the gear teeth. The helix angle can be calculated using the following formula:

$H e l i x a n g l e = \tan^{- 1} (\frac{P i t c h}{P i t c h d i a m e t e r})$

where Pitch is the distance between adjacent teeth and Pitch diameter is the diameter of the pitch circle.

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