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A pair of 20 deg full depth involute spur gears having 30 and 50 teeth respectively of module 4 mm are in mesh. The smaller gear rotates at 1000 rpm.

Determine:

  1. sliding velocities at engagement at an disengagement of pair of a teeth, and

  2. Contact ratio.


Subject: Kinematics of Machinery

Topic: Gears and Gear Trains

Difficulty: Medium

1 Answer
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Given $\phi= 20^{\circ}$; t= 30; T= 50; m=4; N= 1000 rpm; or $\omega_{1}=2\pi\times(1000/60)=104.7 rad/s$.

1.Sliding velocities at engagement and at disengagement of pair of a teeth

First of all, let us find the Radius of the addendum circles of the smaller gear and the larger gear.

We know that,

Addendum …

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