Length of Arc of Contact Calculator

Calculate Length of Arc of Contact





Formula

The formula to calculate the Length of Arc of Contact is:

\[ L = \frac{P}{\cos(\Phi_{gear})} \]

Where:

Definition

Length of arc of contact is the ratio of length of path of contact and the cosine of the pressure angle.

Example Calculation

Let's assume the following values:

Using the formula:

\[ L = \frac{0.018}{\cos(0.55850536063808)} \]

Evaluating:

\[ L = 0.0212252112605163 \text{ m} \]

The Length of Arc of Contact is 0.0212252112605163 m.

Conversion Chart

Path of Contact (m) Pressure Angle of Gear (rad) Length of Arc of Contact (m)
0.017 0.55850536063808 0.020046032857
0.018 0.55850536063808 0.021225211261