The formula to calculate the Maximum Length of Path of Contact is:
\[ P = (R_{\text{wheel}} + r) \cdot \sin(\Phi_{\text{gear}}) \]
Where:
The path of contact is the path traced by the contact point of a pair of tooth profiles.
Let's assume the following values:
Using the formula:
\[ P = (R_{\text{wheel}} + r) \cdot \sin(\Phi_{\text{gear}}) \]
Evaluating:
\[ P = (0.0124 + 0.0102) \cdot \sin(0.55850536063808) \]
The Path of Contact is 0.0119761753716684 meters.
| Radius of Pitch Circle of Wheel (m) | Radius of Pitch Circle of Pinion (m) | Pressure Angle (rad) | Path of Contact (m) |
|---|---|---|---|
| 0.01 | 0.0102 | 0.55850536063808 | 0.010704369138 |
| 0.012 | 0.0102 | 0.55850536063808 | 0.011764207666 |
| 0.014 | 0.0102 | 0.55850536063808 | 0.012824046194 |
| 0.016 | 0.0102 | 0.55850536063808 | 0.013883884723 |
| 0.018 | 0.0102 | 0.55850536063808 | 0.014943723251 |