Maximum Length of Path of Approach Calculator

Calculate Maximum Length of Path of Approach





Formula

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

\[ P1 = r \cdot \sin(\Phi_{gear}) \]

Where:

Definition

Path of approach is the portion of the path of contact from the beginning of contact to the pitch point.

Example Calculation

Let's assume the following values:

Using the formula:

\[ P1 = 0.0102 \cdot \sin(0.55850536063808) \]

Evaluating:

\[ P1 = 0.00540517649517778 \text{ m} \]

The Maximum Length of Path of Approach is 0.00540517649517778 meters.

Conversion Chart

Radius of Pitch Circle of Pinion (m) Pressure Angle of Gear (rad) Path of Approach (m)
0.01 0.55850536063808 0.005299192642
0.011 0.55850536063808 0.005829111907
0.012 0.55850536063808 0.006359031171
0.013 0.55850536063808 0.006888950435
0.014 0.55850536063808 0.007418869699
0.015 0.55850536063808 0.007948788963
0.016 0.55850536063808 0.008478708228
0.017 0.55850536063808 0.009008627492
0.018 0.55850536063808 0.009538546756
0.019 0.55850536063808 0.010068466020