The formula to calculate the Speed of an Object in Circular Motion (V) is:
\[ V = 2 \pi r f \]
Where:
Speed of an object moving in a circle is defined as the distance covered around the perimeter of the circle divided by the time taken to complete the required distance.
Radius typically refers to the distance from the center of a circle or sphere to its outer edge or surface.
Frequency refers to the number of occurrences of a periodic event per time.
Let's assume the following values:
Using the formula:
\[ V = 2 \pi r f \]
Evaluating:
\[ V = 2 \pi \times 6 \times 90 \]
The Speed is 3392.9201 m/s.
| Radius (m) | Frequency (Hz) | Speed (m/s) |
|---|---|---|
| 1 | 10 | 62.8319 |
| 1 | 20 | 125.6637 |
| 1 | 30 | 188.4956 |
| 1 | 40 | 251.3274 |
| 1 | 50 | 314.1593 |
| 1 | 60 | 376.9911 |
| 1 | 70 | 439.8230 |
| 1 | 80 | 502.6548 |
| 1 | 90 | 565.4867 |
| 1 | 100 | 628.3185 |
| 2 | 10 | 125.6637 |
| 2 | 20 | 251.3274 |
| 2 | 30 | 376.9911 |
| 2 | 40 | 502.6548 |
| 2 | 50 | 628.3185 |
| 2 | 60 | 753.9822 |
| 2 | 70 | 879.6459 |
| 2 | 80 | 1,005.3096 |
| 2 | 90 | 1,130.9734 |
| 2 | 100 | 1,256.6371 |
| 3 | 10 | 188.4956 |
| 3 | 20 | 376.9911 |
| 3 | 30 | 565.4867 |
| 3 | 40 | 753.9822 |
| 3 | 50 | 942.4778 |
| 3 | 60 | 1,130.9734 |
| 3 | 70 | 1,319.4689 |
| 3 | 80 | 1,507.9645 |
| 3 | 90 | 1,696.4600 |
| 3 | 100 | 1,884.9556 |
| 4 | 10 | 251.3274 |
| 4 | 20 | 502.6548 |
| 4 | 30 | 753.9822 |
| 4 | 40 | 1,005.3096 |
| 4 | 50 | 1,256.6371 |
| 4 | 60 | 1,507.9645 |
| 4 | 70 | 1,759.2919 |
| 4 | 80 | 2,010.6193 |
| 4 | 90 | 2,261.9467 |
| 4 | 100 | 2,513.2741 |
| 5 | 10 | 314.1593 |
| 5 | 20 | 628.3185 |
| 5 | 30 | 942.4778 |
| 5 | 40 | 1,256.6371 |
| 5 | 50 | 1,570.7963 |
| 5 | 60 | 1,884.9556 |
| 5 | 70 | 2,199.1149 |
| 5 | 80 | 2,513.2741 |
| 5 | 90 | 2,827.4334 |
| 5 | 100 | 3,141.5927 |
| 6 | 10 | 376.9911 |
| 6 | 20 | 753.9822 |
| 6 | 30 | 1,130.9734 |
| 6 | 40 | 1,507.9645 |
| 6 | 50 | 1,884.9556 |
| 6 | 60 | 2,261.9467 |
| 6 | 70 | 2,638.9378 |
| 6 | 80 | 3,015.9289 |
| 6 | 90 | 3,392.9201 |
| 6 | 100 | 3,769.9112 |
| 7 | 10 | 439.8230 |
| 7 | 20 | 879.6459 |
| 7 | 30 | 1,319.4689 |
| 7 | 40 | 1,759.2919 |
| 7 | 50 | 2,199.1149 |
| 7 | 60 | 2,638.9378 |
| 7 | 70 | 3,078.7608 |
| 7 | 80 | 3,518.5838 |
| 7 | 90 | 3,958.4067 |
| 7 | 100 | 4,398.2297 |
| 8 | 10 | 502.6548 |
| 8 | 20 | 1,005.3096 |
| 8 | 30 | 1,507.9645 |
| 8 | 40 | 2,010.6193 |
| 8 | 50 | 2,513.2741 |
| 8 | 60 | 3,015.9289 |
| 8 | 70 | 3,518.5838 |
| 8 | 80 | 4,021.2386 |
| 8 | 90 | 4,523.8934 |
| 8 | 100 | 5,026.5482 |
| 9 | 10 | 565.4867 |
| 9 | 20 | 1,130.9734 |
| 9 | 30 | 1,696.4600 |
| 9 | 40 | 2,261.9467 |
| 9 | 50 | 2,827.4334 |
| 9 | 60 | 3,392.9201 |
| 9 | 70 | 3,958.4067 |
| 9 | 80 | 4,523.8934 |
| 9 | 90 | 5,089.3801 |
| 9 | 100 | 5,654.8668 |
| 10 | 10 | 628.3185 |
| 10 | 20 | 1,256.6371 |
| 10 | 30 | 1,884.9556 |
| 10 | 40 | 2,513.2741 |
| 10 | 50 | 3,141.5927 |
| 10 | 60 | 3,769.9112 |
| 10 | 70 | 4,398.2297 |
| 10 | 80 | 5,026.5482 |
| 10 | 90 | 5,654.8668 |
| 10 | 100 | 6,283.1853 |