The formula to calculate the Minimum Number of Teeth on Pinion is:
\[ Z_p = \frac{2 \cdot A_p}{\sqrt{1 + 3 \cdot (\sin(\Phi_{\text{gear}}))^2} - 1} \]
Where:
Number of Teeth on Pinion is the count of teeth on the pinion gear to avoid interference when the pinion and wheel have equal teeth.
Let's assume the following values:
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.
| Addendum of Pinion (m) | Pressure Angle of Gear (rad) | Number of Teeth on Pinion |
|---|---|---|
| 0.02 | 0.55850536063808 | 0.111929971274 |
| 0.021 | 0.55850536063808 | 0.117526469838 |
| 0.022 | 0.55850536063808 | 0.123122968401 |
| 0.023 | 0.55850536063808 | 0.128719466965 |
| 0.024 | 0.55850536063808 | 0.134315965529 |
| 0.025 | 0.55850536063808 | 0.139912464092 |
| 0.026 | 0.55850536063808 | 0.145508962656 |
| 0.027 | 0.55850536063808 | 0.151105461220 |
| 0.028 | 0.55850536063808 | 0.156701959783 |
| 0.029 | 0.55850536063808 | 0.162298458347 |