The formula to calculate Normal Acceleration (an) is:
\[ a_n = ω^2 \cdot Rc \]
Where:
Normal Acceleration is the component of acceleration for a point in curvilinear motion that is directed along the principal normal to the trajectory toward the center of curvature.
Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e., how fast the angular position or orientation of an object changes with time.
Radius of Curvature is the reciprocal of the curvature.
Let's assume the following values:
Using the formula:
\[ a_n = ω^2 \cdot Rc \]
Evaluating:
\[ a_n = 11.2^2 \cdot 15 \]
The Normal Acceleration is 1881.6.
| Angular Velocity (ω) | Radius of Curvature (Rc) | Normal Acceleration (an) |
|---|---|---|
| 10 | 14 | 1,400.000000000000000 |
| 10 | 14.5 | 1,450.000000000000000 |
| 10 | 15 | 1,500.000000000000000 |
| 10 | 15.5 | 1,550.000000000000000 |
| 10 | 16 | 1,600.000000000000000 |
| 10.5 | 14 | 1,543.500000000000000 |
| 10.5 | 14.5 | 1,598.625000000000000 |
| 10.5 | 15 | 1,653.750000000000000 |
| 10.5 | 15.5 | 1,708.875000000000000 |
| 10.5 | 16 | 1,764.000000000000000 |
| 11 | 14 | 1,694.000000000000000 |
| 11 | 14.5 | 1,754.500000000000000 |
| 11 | 15 | 1,815.000000000000000 |
| 11 | 15.5 | 1,875.500000000000000 |
| 11 | 16 | 1,936.000000000000000 |
| 11.5 | 14 | 1,851.500000000000000 |
| 11.5 | 14.5 | 1,917.625000000000000 |
| 11.5 | 15 | 1,983.750000000000000 |
| 11.5 | 15.5 | 2,049.875000000000000 |
| 11.5 | 16 | 2,116.000000000000000 |
| 12 | 14 | 2,016.000000000000000 |
| 12 | 14.5 | 2,088.000000000000000 |
| 12 | 15 | 2,160.000000000000000 |
| 12 | 15.5 | 2,232.000000000000000 |
| 12 | 16 | 2,304.000000000000000 |