The formula to calculate the Length of Arc of Contact is:
L=(Rwheel+r)⋅tan(Φgear)
Where:
Length of Arc of Contact is the ratio of the length of the path of contact and the cosine of the pressure angle.
Let's assume the following values:
Using the formula:
L=(0.0124+0.0102)⋅tan(0.55850536063808)
Evaluating:
L=0.0141220473531475 m
The Length of Arc of Contact is 0.0141220473531475 m.
Radius of Pitch Circle of Wheel (m) | Radius of Pitch Circle of Pinion (m) | Pressure Angle of Gear (rad) | Length of Arc of Contact (m) |
---|---|---|---|
0.01 | 0.0102 | 0.55850536063808 | 0.012622360909 |
0.011 | 0.0102 | 0.55850536063808 | 0.013247230260 |
0.012 | 0.0102 | 0.55850536063808 | 0.013872099612 |
0.013 | 0.0102 | 0.55850536063808 | 0.014496968964 |
0.014 | 0.0102 | 0.55850536063808 | 0.015121838316 |
0.015 | 0.0102 | 0.55850536063808 | 0.015746707668 |
0.016 | 0.0102 | 0.55850536063808 | 0.016371577020 |
0.017 | 0.0102 | 0.55850536063808 | 0.016996446372 |
0.018 | 0.0102 | 0.55850536063808 | 0.017621315724 |
0.019 | 0.0102 | 0.55850536063808 | 0.018246185076 |