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The formula to calculate Radians per Second (rad/s) from RPM is:
\[ \text{rad/s} = \text{RPM} \times 0.10472 \]
Where:
Revolutions Per Minute (RPM) is a unit of frequency, representing the number of revolutions per minute. Radians per Second (rad/s) is a unit of angular velocity, representing the angle in radians through which a point or line has rotated in one second. The conversion from RPM to Radians per Second is straightforward: multiply the frequency in RPM by 0.10472.
Let's assume the following value:
Using the formula:
\[ \text{rad/s} = 3000 \times 0.10472 \]
\[ \text{rad/s} = 314.16 \]
The Frequency (rad/s) is 314.16 rad/s.
| Frequency (RPM) | Frequency (rad/s) |
|---|---|
| 100 | 10.47200 |
| 200 | 20.94400 |
| 300 | 31.41600 |
| 400 | 41.88800 |
| 500 | 52.36000 |
| 600 | 62.83200 |
| 700 | 73.30400 |
| 800 | 83.77600 |
| 900 | 94.24800 |
| 1000 | 104.72000 |
| 1100 | 115.19200 |
| 1200 | 125.66400 |
| 1300 | 136.13600 |
| 1400 | 146.60800 |
| 1500 | 157.08000 |
| 1600 | 167.55200 |
| 1700 | 178.02400 |
| 1800 | 188.49600 |
| 1900 | 198.96800 |
| 2000 | 209.44000 |
| 2100 | 219.91200 |
| 2200 | 230.38400 |
| 2300 | 240.85600 |
| 2400 | 251.32800 |
| 2500 | 261.80000 |
| 2600 | 272.27200 |
| 2700 | 282.74400 |
| 2800 | 293.21600 |
| 2900 | 303.68800 |
| 3000 | 314.16000 |
| 3100 | 324.63200 |
| 3200 | 335.10400 |
| 3300 | 345.57600 |
| 3400 | 356.04800 |
| 3500 | 366.52000 |
| 3600 | 376.99200 |
| 3700 | 387.46400 |
| 3800 | 397.93600 |
| 3900 | 408.40800 |
| 4000 | 418.88000 |
| 4100 | 429.35200 |
| 4200 | 439.82400 |
| 4300 | 450.29600 |
| 4400 | 460.76800 |
| 4500 | 471.24000 |
| 4600 | 481.71200 |
| 4700 | 492.18400 |
| 4800 | 502.65600 |
| 4900 | 513.12800 |
| 5000 | 523.60000 |
| 5100 | 534.07200 |
| 5200 | 544.54400 |
| 5300 | 555.01600 |
| 5400 | 565.48800 |
| 5500 | 575.96000 |
| 5600 | 586.43200 |
| 5700 | 596.90400 |
| 5800 | 607.37600 |
| 5900 | 617.84800 |
| 6000 | 628.32000 |
| 6100 | 638.79200 |
| 6200 | 649.26400 |
| 6300 | 659.73600 |
| 6400 | 670.20800 |
| 6500 | 680.68000 |
| 6600 | 691.15200 |
| 6700 | 701.62400 |
| 6800 | 712.09600 |
| 6900 | 722.56800 |
| 7000 | 733.04000 |
| 7100 | 743.51200 |
| 7200 | 753.98400 |
| 7300 | 764.45600 |
| 7400 | 774.92800 |
| 7500 | 785.40000 |
| 7600 | 795.87200 |
| 7700 | 806.34400 |
| 7800 | 816.81600 |
| 7900 | 827.28800 |
| 8000 | 837.76000 |
| 8100 | 848.23200 |
| 8200 | 858.70400 |
| 8300 | 869.17600 |
| 8400 | 879.64800 |
| 8500 | 890.12000 |
| 8600 | 900.59200 |
| 8700 | 911.06400 |
| 8800 | 921.53600 |
| 8900 | 932.00800 |
| 9000 | 942.48000 |
| 9100 | 952.95200 |
| 9200 | 963.42400 |
| 9300 | 973.89600 |
| 9400 | 984.36800 |
| 9500 | 994.84000 |
| 9600 | 1,005.31200 |
| 9700 | 1,015.78400 |
| 9800 | 1,026.25600 |
| 9900 | 1,036.72800 |
| 10000 | 1,047.20000 |