Minimum Number of Teeth on Pinion for Involute Rack to Avoid Interference Calculator

Calculate Minimum Number of Teeth on Pinion





Formula

The formula to calculate the Minimum Number of Teeth on Pinion is:

\[ Z_p = \frac{2 \cdot AR}{\sin(\Phi_{\text{gear}})^2} \]

Where:

Definition

The Number of Teeth on Pinion is the count of teeth on the pinion gear.

Example Calculation

Let's assume the following values:

Using the formula:

\[ Z_p = \frac{2 \cdot 0.013}{\sin(0.55850536063808)^2} \]

Evaluating:

\[ Z_p = 0.0925878357258983 \]

The Number of Teeth on Pinion is 0.0925878357258983.

Conversion Chart

Addendum of Rack (m) Pressure Angle of Gear (rad) Number of Teeth on Pinion
0.01 0.55850536063808 0.071221412097
0.012 0.55850536063808 0.085465694516
0.014 0.55850536063808 0.099709976936
0.016 0.55850536063808 0.113954259355
0.018 0.55850536063808 0.128198541774