The formula to calculate Angular Acceleration of Shaft B (αB) is:
\[ α_B = G \cdot α_A \]
Where:
Angular Acceleration of Shaft B is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.
Gear Ratio is the ratio of output gear speed to the input gear speed or the ratio of the number of teeth on the gear to that on the pinion.
Angular Acceleration of Shaft A is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.
Let's assume the following values:
Using the formula:
\[ α_B = G \cdot α_A \]
Evaluating:
\[ α_B = 3 \cdot 25 \]
The Angular Acceleration of Shaft B is 75 rad/s².
| Gear Ratio (G) | Angular Acceleration of Shaft A (αA) | Angular Acceleration of Shaft B (αB) |
|---|---|---|
| 1 | 20 | 20.000000000000000 |
| 1 | 21 | 21.000000000000000 |
| 1 | 22 | 22.000000000000000 |
| 1 | 23 | 23.000000000000000 |
| 1 | 24 | 24.000000000000000 |
| 1 | 25 | 25.000000000000000 |
| 1 | 26 | 26.000000000000000 |
| 1 | 27 | 27.000000000000000 |
| 1 | 28 | 28.000000000000000 |
| 1 | 29 | 29.000000000000000 |
| 1 | 30 | 30.000000000000000 |
| 2 | 20 | 40.000000000000000 |
| 2 | 21 | 42.000000000000000 |
| 2 | 22 | 44.000000000000000 |
| 2 | 23 | 46.000000000000000 |
| 2 | 24 | 48.000000000000000 |
| 2 | 25 | 50.000000000000000 |
| 2 | 26 | 52.000000000000000 |
| 2 | 27 | 54.000000000000000 |
| 2 | 28 | 56.000000000000000 |
| 2 | 29 | 58.000000000000000 |
| 2 | 30 | 60.000000000000000 |
| 3 | 20 | 60.000000000000000 |
| 3 | 21 | 63.000000000000000 |
| 3 | 22 | 66.000000000000000 |
| 3 | 23 | 69.000000000000000 |
| 3 | 24 | 72.000000000000000 |
| 3 | 25 | 75.000000000000000 |
| 3 | 26 | 78.000000000000000 |
| 3 | 27 | 81.000000000000000 |
| 3 | 28 | 84.000000000000000 |
| 3 | 29 | 87.000000000000000 |
| 3 | 30 | 90.000000000000000 |
| 4 | 20 | 80.000000000000000 |
| 4 | 21 | 84.000000000000000 |
| 4 | 22 | 88.000000000000000 |
| 4 | 23 | 92.000000000000000 |
| 4 | 24 | 96.000000000000000 |
| 4 | 25 | 100.000000000000000 |
| 4 | 26 | 104.000000000000000 |
| 4 | 27 | 108.000000000000000 |
| 4 | 28 | 112.000000000000000 |
| 4 | 29 | 116.000000000000000 |
| 4 | 30 | 120.000000000000000 |
| 5 | 20 | 100.000000000000000 |
| 5 | 21 | 105.000000000000000 |
| 5 | 22 | 110.000000000000000 |
| 5 | 23 | 115.000000000000000 |
| 5 | 24 | 120.000000000000000 |
| 5 | 25 | 125.000000000000000 |
| 5 | 26 | 130.000000000000000 |
| 5 | 27 | 135.000000000000000 |
| 5 | 28 | 140.000000000000000 |
| 5 | 29 | 145.000000000000000 |
| 5 | 30 | 150.000000000000000 |