Minimum Number of Teeth on Pinion to Avoid Interference given Pinion and Wheel have Equal Teeth Calculator

Example Calculation

Let's assume the following values:

• Addendum of Pinion ($A_p$) = 0.0225 m
• Pressure Angle of Gear ($\Phi_{\text{gear}}$) = 0.55850536063808 rad

Using the formula:

$$Z_p = \frac{2 \cdot 0.0225}{\sqrt{1 + 3 \cdot (\sin(0.55850536063808))^2} - 1}$$

Evaluating:

$$Z_p = 0.125921217683036$$

The Minimum Number of Teeth on Pinion is 0.125921217683036.