The formula to calculate the Velocity Ratio of Belt is:
\[ i = \frac{d_{driver} \left( E + \sqrt{\sigma_2} \right)}{d_{follower} \left( E + \sqrt{\sigma_1} \right)} \]
Velocity ratio is the distance through which any part of a machine moves to that which the driving part moves during the same time. Diameter of Driver is the longest possible chord of any circle that runs through the center point of the circle. Young's Modulus of Belt is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression. Stress in Slack Side of Belt is the force acting on the unit area of a material. Diameter of Follower is the longest possible chord of any circle that runs through the center point of the circle. Stress in Tight Side of Belt is the force acting on the unit area of a material.
Let's assume the following values:
Using the formula:
\[ i = \frac{0.011 \left( 19 + \sqrt{8} \right)}{0.014 \left( 19 + \sqrt{5} \right)} = 0.80763100988178 \]
| Diameter of Driver (ddriver) | Young's Modulus (E) | Stress in Slack Side (σ2) | Diameter of Follower (dfollower) | Stress in Tight Side (σ1) | Velocity Ratio (i) |
|---|---|---|---|---|---|
| 0.01 | 19 | 8 | 0.014 | 5 | 0.734210008983437 |
| 0.011 | 19 | 8 | 0.014 | 5 | 0.807631009881780 |
| 0.012 | 19 | 8 | 0.014 | 5 | 0.881052010780124 |
| 0.013 | 19 | 8 | 0.014 | 5 | 0.954473011678468 |
| 0.014 | 19 | 8 | 0.014 | 5 | 1.027894012576811 |
| 0.015 | 19 | 8 | 0.014 | 5 | 1.101315013475155 |
| 0.016 | 19 | 8 | 0.014 | 5 | 1.174736014373499 |
| 0.017 | 19 | 8 | 0.014 | 5 | 1.248157015271843 |
| 0.018 | 19 | 8 | 0.014 | 5 | 1.321578016170186 |
| 0.019 | 19 | 8 | 0.014 | 5 | 1.394999017068530 |
