The formula to calculate Torque Required on Shaft A to Accelerate Itself (TA) is:
\[ T_A = I_A \cdot \alpha_A \]
Where:
The torque required on shaft A to accelerate itself is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.
Mass Moment of Inertia of mass attached to shaft A is a quantity expressing a body's tendency to resist angular acceleration.
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:
\[ T_A = I_A \cdot \alpha_A \]
Evaluating:
\[ T_A = 18 \cdot 25 \]
The Torque Required on Shaft A to Accelerate Itself is 450 N·m.
| Mass Moment of Inertia (IA) | Angular Acceleration (αA) | Torque Required (TA) |
|---|---|---|
| 10 | 20 | 200.000000000000000 |
| 10 | 21 | 210.000000000000000 |
| 10 | 22 | 220.000000000000000 |
| 10 | 23 | 230.000000000000000 |
| 10 | 24 | 240.000000000000000 |
| 10 | 25 | 250.000000000000000 |
| 10 | 26 | 260.000000000000000 |
| 10 | 27 | 270.000000000000000 |
| 10 | 28 | 280.000000000000000 |
| 10 | 29 | 290.000000000000000 |
| 10 | 30 | 300.000000000000000 |
| 11 | 20 | 220.000000000000000 |
| 11 | 21 | 231.000000000000000 |
| 11 | 22 | 242.000000000000000 |
| 11 | 23 | 253.000000000000000 |
| 11 | 24 | 264.000000000000000 |
| 11 | 25 | 275.000000000000000 |
| 11 | 26 | 286.000000000000000 |
| 11 | 27 | 297.000000000000000 |
| 11 | 28 | 308.000000000000000 |
| 11 | 29 | 319.000000000000000 |
| 11 | 30 | 330.000000000000000 |
| 12 | 20 | 240.000000000000000 |
| 12 | 21 | 252.000000000000000 |
| 12 | 22 | 264.000000000000000 |
| 12 | 23 | 276.000000000000000 |
| 12 | 24 | 288.000000000000000 |
| 12 | 25 | 300.000000000000000 |
| 12 | 26 | 312.000000000000000 |
| 12 | 27 | 324.000000000000000 |
| 12 | 28 | 336.000000000000000 |
| 12 | 29 | 348.000000000000000 |
| 12 | 30 | 360.000000000000000 |
| 13 | 20 | 260.000000000000000 |
| 13 | 21 | 273.000000000000000 |
| 13 | 22 | 286.000000000000000 |
| 13 | 23 | 299.000000000000000 |
| 13 | 24 | 312.000000000000000 |
| 13 | 25 | 325.000000000000000 |
| 13 | 26 | 338.000000000000000 |
| 13 | 27 | 351.000000000000000 |
| 13 | 28 | 364.000000000000000 |
| 13 | 29 | 377.000000000000000 |
| 13 | 30 | 390.000000000000000 |
| 14 | 20 | 280.000000000000000 |
| 14 | 21 | 294.000000000000000 |
| 14 | 22 | 308.000000000000000 |
| 14 | 23 | 322.000000000000000 |
| 14 | 24 | 336.000000000000000 |
| 14 | 25 | 350.000000000000000 |
| 14 | 26 | 364.000000000000000 |
| 14 | 27 | 378.000000000000000 |
| 14 | 28 | 392.000000000000000 |
| 14 | 29 | 406.000000000000000 |
| 14 | 30 | 420.000000000000000 |
| 15 | 20 | 300.000000000000000 |
| 15 | 21 | 315.000000000000000 |
| 15 | 22 | 330.000000000000000 |
| 15 | 23 | 345.000000000000000 |
| 15 | 24 | 360.000000000000000 |
| 15 | 25 | 375.000000000000000 |
| 15 | 26 | 390.000000000000000 |
| 15 | 27 | 405.000000000000000 |
| 15 | 28 | 420.000000000000000 |
| 15 | 29 | 435.000000000000000 |
| 15 | 30 | 450.000000000000000 |
| 16 | 20 | 320.000000000000000 |
| 16 | 21 | 336.000000000000000 |
| 16 | 22 | 352.000000000000000 |
| 16 | 23 | 368.000000000000000 |
| 16 | 24 | 384.000000000000000 |
| 16 | 25 | 400.000000000000000 |
| 16 | 26 | 416.000000000000000 |
| 16 | 27 | 432.000000000000000 |
| 16 | 28 | 448.000000000000000 |
| 16 | 29 | 464.000000000000000 |
| 16 | 30 | 480.000000000000000 |
| 17 | 20 | 340.000000000000000 |
| 17 | 21 | 357.000000000000000 |
| 17 | 22 | 374.000000000000000 |
| 17 | 23 | 391.000000000000000 |
| 17 | 24 | 408.000000000000000 |
| 17 | 25 | 425.000000000000000 |
| 17 | 26 | 442.000000000000000 |
| 17 | 27 | 459.000000000000000 |
| 17 | 28 | 476.000000000000000 |
| 17 | 29 | 493.000000000000000 |
| 17 | 30 | 510.000000000000000 |
| 18 | 20 | 360.000000000000000 |
| 18 | 21 | 378.000000000000000 |
| 18 | 22 | 396.000000000000000 |
| 18 | 23 | 414.000000000000000 |
| 18 | 24 | 432.000000000000000 |
| 18 | 25 | 450.000000000000000 |
| 18 | 26 | 468.000000000000000 |
| 18 | 27 | 486.000000000000000 |
| 18 | 28 | 504.000000000000000 |
| 18 | 29 | 522.000000000000000 |
| 18 | 30 | 540.000000000000000 |
| 19 | 20 | 380.000000000000000 |
| 19 | 21 | 399.000000000000000 |
| 19 | 22 | 418.000000000000000 |
| 19 | 23 | 437.000000000000000 |
| 19 | 24 | 456.000000000000000 |
| 19 | 25 | 475.000000000000000 |
| 19 | 26 | 494.000000000000000 |
| 19 | 27 | 513.000000000000000 |
| 19 | 28 | 532.000000000000000 |
| 19 | 29 | 551.000000000000000 |
| 19 | 30 | 570.000000000000000 |
| 20 | 20 | 400.000000000000000 |
| 20 | 21 | 420.000000000000000 |
| 20 | 22 | 440.000000000000000 |
| 20 | 23 | 460.000000000000000 |
| 20 | 24 | 480.000000000000000 |
| 20 | 25 | 500.000000000000000 |
| 20 | 26 | 520.000000000000000 |
| 20 | 27 | 540.000000000000000 |
| 20 | 28 | 560.000000000000000 |
| 20 | 29 | 580.000000000000000 |
| 20 | 30 | 600.000000000000000 |