The formula to calculate Resultant Acceleration (ar) is:
\[ a_r = \sqrt{a_t^2 + a_n^2} \]
Where:
Resultant Acceleration is set by the resultant force.
Tangential Acceleration is defined as the rate of change of tangential velocity of the matter in the circular path.
Normal Acceleration is the component of acceleration for a point in curvilinear motion that is directed along the principal normal to the trajectory toward the center of curvature.
Let's assume the following values:
Using the formula:
\[ a_r = \sqrt{a_t^2 + a_n^2} \]
Evaluating:
\[ a_r = \sqrt{24^2 + 6000^2} \]
The Resultant Acceleration is 6000.047999808 m/s².
| Tangential Acceleration (at) | Normal Acceleration (an) | Resultant Acceleration (ar) |
|---|---|---|
| 20 | 5000 | 5,000.039999840001656 |
| 20 | 5500 | 5,500.036363516153870 |
| 20 | 6000 | 6,000.033333240740831 |
| 20 | 6500 | 6,500.030769157942814 |
| 20 | 7000 | 7,000.028571370262398 |
| 21 | 5000 | 5,000.044099805521000 |
| 21 | 5500 | 5,500.040090762975524 |
| 21 | 6000 | 6,000.036749887453880 |
| 21 | 6500 | 6,500.033922988402082 |
| 21 | 7000 | 7,000.031499929124948 |
| 22 | 5000 | 5,000.048399765746581 |
| 22 | 5500 | 5,500.043999824001730 |
| 22 | 6000 | 6,000.040333197769542 |
| 22 | 6500 | 6,500.037230662605907 |
| 22 | 7000 | 7,000.034571343201605 |
| 23 | 5000 | 5,000.052899720161804 |
| 23 | 5500 | 5,500.048090698844135 |
| 23 | 6000 | 6,000.044083171389502 |
| 23 | 6500 | 6,500.040692180318729 |
| 23 | 7000 | 7,000.037785612303196 |
| 24 | 5000 | 5,000.057599668228249 |
| 24 | 5500 | 5,500.052363387098012 |
| 24 | 6000 | 6,000.047999808001805 |
| 24 | 6500 | 6,500.044307541295893 |
| 24 | 7000 | 7,000.041142736234178 |
| 25 | 5000 | 5,000.062499609380211 |
| 25 | 5500 | 5,500.056817888338628 |
| 25 | 6000 | 6,000.052083107279032 |
| 25 | 6500 | 6,500.048076745279104 |
| 25 | 7000 | 7,000.044642714788097 |
| 26 | 5000 | 5,000.067599543030155 |
| 26 | 5500 | 5,500.061454202125788 |
| 26 | 6000 | 6,000.056333068881941 |
| 26 | 6500 | 6,500.051999792001880 |
| 26 | 7000 | 7,000.048285547750311 |
| 27 | 5000 | 5,000.072899468566902 |
| 27 | 5500 | 5,500.066272327998377 |
| 27 | 6000 | 6,000.060749692455829 |
| 27 | 6500 | 6,500.056076681185004 |
| 27 | 7000 | 7,000.052071234898904 |
| 28 | 5000 | 5,000.078399385353805 |
| 28 | 5500 | 5,500.071272265478910 |
| 28 | 6000 | 6,000.065332977633261 |
| 28 | 6500 | 6,500.060307412539260 |
| 28 | 7000 | 7,000.055999776001954 |
| 29 | 5000 | 5,000.084099292730571 |
| 29 | 5500 | 5,500.076454014070805 |
| 29 | 6000 | 6,000.070082924032249 |
| 29 | 6500 | 6,500.064691985765421 |
| 29 | 7000 | 7,000.060071170818446 |
| 30 | 5000 | 5,000.089999190014169 |
| 30 | 5500 | 5,500.081817573262015 |
| 30 | 6000 | 6,000.074999531256253 |
| 30 | 6500 | 6,500.069230400549714 |
| 30 | 7000 | 7,000.064285419099178 |