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Minimum Number of Teeth on the Pinion in Order to Avoid Interference
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The phenomenon when the tip of a tooth undercuts the root on its mating gear is known as interference. The minimum number of teeth on the pinion which will mesh with any gear (also rack) without interference is 17 or it may be determined by,

$Z_{1}=\frac{2}{(\sin \alpha)^{2}}$ where $\alpha$ is …

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