The formula to calculate Tangential Acceleration (at) is:
\[ at = \alpha \cdot Rc \]
Where:
Tangential acceleration is defined as the rate of change of tangential velocity of the matter in the circular path.
Angular acceleration refers to the time rate of change of angular velocity.
The Radius of Curvature is the reciprocal of the curvature.
Let's assume the following values:
Using the formula:
\[ at = \alpha \cdot Rc \]
Evaluating:
\[ at = 1.6 \cdot 15 \]
The Tangential Acceleration is 24.
| Angular Acceleration (α) | Radius of Curvature (Rc) | Tangential Acceleration (at) |
|---|---|---|
| 1.5 | 14 | 21.000000000000000 |
| 1.5 | 14.5 | 21.750000000000000 |
| 1.5 | 15 | 22.500000000000000 |
| 1.5 | 15.5 | 23.250000000000000 |
| 1.5 | 16 | 24.000000000000000 |
| 1.6 | 14 | 22.400000000000002 |
| 1.6 | 14.5 | 23.200000000000003 |
| 1.6 | 15 | 24.000000000000000 |
| 1.6 | 15.5 | 24.800000000000001 |
| 1.6 | 16 | 25.600000000000001 |
| 1.7 | 14 | 23.800000000000004 |
| 1.7 | 14.5 | 24.650000000000002 |
| 1.7 | 15 | 25.500000000000004 |
| 1.7 | 15.5 | 26.350000000000001 |
| 1.7 | 16 | 27.200000000000003 |
| 1.8 | 14 | 25.200000000000003 |
| 1.8 | 14.5 | 26.100000000000005 |
| 1.8 | 15 | 27.000000000000004 |
| 1.8 | 15.5 | 27.900000000000006 |
| 1.8 | 16 | 28.800000000000004 |
| 1.9 | 14 | 26.600000000000005 |
| 1.9 | 14.5 | 27.550000000000004 |
| 1.9 | 15 | 28.500000000000007 |
| 1.9 | 15.5 | 29.450000000000006 |
| 1.9 | 16 | 30.400000000000006 |