Radius of Base Circle of Wheel Calculator

Calculate Radius of Base Circle of Wheel





Formula

The formula to calculate the Radius of Base Circle of Wheel is:

\[ Rb = R_{wheel} \cdot \cos(\Phi_{gear}) \]

Where:

Definition

Radius of base circle of wheel is the radius of circle from which the involute portion of the tooth profile is generated.

Example Calculation

Let's assume the following values:

Using the formula:

\[ Rb = R_{wheel} \cdot \cos(\Phi_{gear}) \]

Evaluating:

\[ Rb = 0.0124 \cdot \cos(0.55850536063808) \]

The Radius of Base Circle of Wheel is 0.0105157963923404 meters.

Conversion Chart

Radius of Pitch Circle of Wheel (m) Pressure Angle of Gear (rad) Radius of Base Circle of Wheel (m)
0.01 0.55850536063808 0.008480480962
0.011 0.55850536063808 0.009328529058
0.012 0.55850536063808 0.010176577154
0.013 0.55850536063808 0.011024625250
0.014 0.55850536063808 0.011872673346
0.015 0.55850536063808 0.012720721442
0.016 0.55850536063808 0.013568769539
0.017 0.55850536063808 0.014416817635
0.018 0.55850536063808 0.015264865731
0.019 0.55850536063808 0.016112913827