Length of Path of Recess Calculator

Example Calculation

Let's assume the following values:

• Radius of Addendum Circle of Pinion ($r_A$) = 0.02 m
• Radius of Pitch Circle of Pinion ($r$) = 0.0102 m
• Pressure Angle of Gear ($\Phi_{gear}$) = 0.55850536063808 rad

Using the formula:

$$P_2 = \sqrt{0.02^2 - 0.0102^2 \cdot (\cos(0.55850536063808))^2} - 0.0102 \cdot \sin(0.55850536063808)$$

Evaluating:

$$P_2 = 0.0126274587238916 \text{ m}$$

The Length of Path of Recess is 0.0126274587238916 m.