The formula to calculate the Normal Reaction between Belt and Sides of Groove is:
\[ R_n = \frac{R}{2 \cdot \sin\left(\frac{\beta}{2}\right)} \]
Where:
Normal reaction between belt and sides of groove is the component of contact force normal to the surfaces in contact.
Let's assume the following values:
Using the formula:
\[ R_n = \frac{15}{2 \cdot \sin\left(\frac{0.52}{2}\right)} \]
Evaluating:
\[ R_n = 29.1737354101614 \text{ N} \]
The Normal Reaction between Belt and Sides of Groove is 29.1737354101614 N.
| Total Reaction in Plane of Groove (N) | Angle of Groove (rad) | Normal Reaction (N) |
|---|---|---|
| 10 | 0.52 | 19.449156940108 |
| 11 | 0.52 | 21.394072634118 |
| 12 | 0.52 | 23.338988328129 |
| 13 | 0.52 | 25.283904022140 |
| 14 | 0.52 | 27.228819716151 |
| 15 | 0.52 | 29.173735410161 |
| 16 | 0.52 | 31.118651104172 |
| 17 | 0.52 | 33.063566798183 |
| 18 | 0.52 | 35.008482492194 |
| 19 | 0.52 | 36.953398186204 |
| 20 | 0.52 | 38.898313880215 |