The formula to calculate the Limiting Angle of Friction is:
\[ \Phi = \arctan\left(\frac{F_{\text{lf}}}{R_{\text{n}}}\right) \]
The Limiting Angle of Friction is defined as the angle which the resultant reaction makes with the normal reaction. The limit force is the friction generated when two surfaces come in contact with each other, and the normal reaction is the force exerted by a surface on an object in contact with it.
Let's assume the following values:
Using the formula:
\[ \Phi = \arctan\left(\frac{0.225}{6.4431}\right) \approx 0.0349068935348381 \, \text{radians} \]
The Limiting Angle of Friction is approximately 0.0349068935348381 radians.
| Limit Force (Newtons) | Normal Reaction (Newtons) | Limiting Angle (radians) |
|---|---|---|
| 0.2 | 6.4431 | 0.031030994558069 |
| 0.21 | 6.4431 | 0.032581472594819 |
| 0.22 | 6.4431 | 0.034131793941521 |
| 0.23 | 6.4431 | 0.035681951170707 |
| 0.24 | 6.4431 | 0.037231936859639 |