Radius of Base Circle of Pinion Calculator

Calculate Radius of Base Circle of Pinion





Formula

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

\[ r_b = r \cdot \cos(\Phi_{\text{gear}}) \]

Where:

Definition

Radius of Base Circle of Pinion is the radius of the circle from which the involute portion of the tooth profile is generated.

Example Calculation

Let's assume the following values:

Using the formula:

\[ r_b = 0.0102 \cdot \cos(0.55850536063808) \]

Evaluating:

\[ r_b = 0.00865009058079612 \text{ m} \]

The Radius of Base Circle of Pinion is 0.00865009058079612 m.

Conversion Chart

Radius of Pitch Circle of Pinion (m) Pressure Angle of Gear (rad) Radius of Base Circle of Pinion (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