The formula to calculate the Maximum Length of Path of Recess is:
\[ P_2 = R_{\text{wheel}} \cdot \sin(\Phi_{\text{gear}}) \]
Where:
The path of recess is the portion of the path of contact from the pitch point to the end of contact.
Let's assume the following values:
Using the formula:
\[ P_2 = R_{\text{wheel}} \cdot \sin(\Phi_{\text{gear}}) \]
Evaluating:
\[ P_2 = 0.0124 \cdot \sin(0.55850536063808) \]
The Path of Recess is 0.00657099887649063 meters.
| Radius of Pitch Circle of Wheel (m) | Pressure Angle (rad) | Path of Recess (m) |
|---|---|---|
| 0.01 | 0.55850536063808 | 0.005299192642 |
| 0.012 | 0.55850536063808 | 0.006359031171 |
| 0.014 | 0.55850536063808 | 0.007418869699 |
| 0.016 | 0.55850536063808 | 0.008478708228 |
| 0.018 | 0.55850536063808 | 0.009538546756 |