The formula to calculate the Angle of Repose is:
\[ \text{Angle of Repose} = \arctan\left(\frac{\text{Limiting Force}}{\text{Normal Reaction}}\right) \]
The Angle of Repose is the angle that the plane of contact between two bodies makes with the horizontal when the upper body is just on the point of sliding. The Limiting Force is the friction generated when two surfaces come in contact with each other. The Normal Reaction is the force exerted by a surface on an object in contact with it which prevents the object from passing through the surface.
Let's assume the following values:
Using the formula:
\[ \text{Angle of Repose} = \arctan\left(\frac{2.15}{6.4431}\right) \approx 0.322071793904571 \, \text{radians} \]
The Angle of Repose is approximately 0.322071793904571 radians.
| Limiting Force (N) | Normal Reaction (N) | Angle of Repose (radians) |
|---|---|---|
| 2 | 6.4431 | 0.300979301999638 |
| 2.1 | 6.4431 | 0.315072880698135 |
| 2.2 | 6.4431 | 0.329038168131090 |
| 2.3 | 6.4431 | 0.342871536470786 |
| 2.4 | 6.4431 | 0.356569627945154 |
| 2.5 | 6.4431 | 0.370129353088587 |
| 2.6 | 6.4431 | 0.383547887959114 |
| 2.7 | 6.4431 | 0.396822670399158 |
| 2.8 | 6.4431 | 0.409951395420023 |
| 2.9 | 6.4431 | 0.422932009792002 |