Maximum Length of Path of Recess Calculator

Calculate Maximum Length of Path of Recess





Formula

The formula to calculate the Maximum Length of Path of Recess is:

\[ P_2 = R_{\text{wheel}} \cdot \sin(\Phi_{\text{gear}}) \]

Where:

Definition

The path of recess is the portion of the path of contact from the pitch point to the end of contact.

Example Calculation

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.

Conversion Chart

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